Structured Grid Generation Via Constraint on Displacement of Internal Nodes
|
|
- Mariah Ashlie Montgomery
- 6 years ago
- Views:
Transcription
1 Internatonal Journal of Basc & Appled Scences IJBAS-IJENS Vol: 11 No: 4 79 Structured Grd Generaton Va Constrant on Dsplacement of Internal Nodes Al Ashrafzadeh, Razeh Jalalabad Abstract Structured grd generaton methods have been used for many years to dscretze the soluton doman n flud dynamcs smulatons. Varous dfferental methods have been employed for ths purpose but the tradtonal method, whch transforms a logcal grd n the computatonal doman to a boundary-ftted grd n the physcal doman, s employng a set of poson equatons. In ths paper a new grd generaton method s ntroduced n whch the dfferences between coordnates of boundary nodes of a smple ntal grd and fnal grd are used as the boundary condton of a set of poson equatons known as grd generaton equatons. These Poson equatons are solved on the ntal grd to obtan the dsplacement of nodal coordnates and construct the fnal grd. Two dmensonal grd generaton examples are fnally presented and the grd qualtes are compared wth the results of an avalable dfferental grd generaton method. The underlyng deas are clearly extendble to three-dmensonal problems as well. Index Term Dsplacement of Boundary Nods, Intal Grd, Structured Grd Generaton, Poson Equatons. I. INTRODUCTION Numercal soluton of equatons, whch descrbe fluds flows n practcal problems, s a usual approach n Computatonal Fluds Dynamcs (CFD). Ths approach requres powerful dscretzaton methods to dscrete the dfferental terms n equatons and the physcal doman. Grd generaton strateges are used to dscrete physcal domans and n the structured or unstructured generated grds [1,], a set of elements are generated throughout the doman regardng the boundares shapes. Accuracy and effcency of numercal soluton of equatons are strongly affected by the employed grd generaton methods [3,4]. In D structured grd generaton a physcal doman s correspondent to a logcal doman as shown n fgure 1. The ntersecton of the coordnate lnes and s known as the grd pont, n the physcal doman (fgure 1b) [5]. Tradtonal methods for mappng the unt square onto the physcal doman are algebrac and dfferental grd generaton methods. In algebrac grd generaton methods the poston of Al Ashrafzadeh s wth Khaeh Nasr Toos Unversty of Technology, Tehran, Iran. (e-mal: ashrafzadeh@kntu.ac.r). Razeh Jalalabad ss wth Khaeh Nasr Toos Unversty of Technology,Tehran, Iran. (Correspondng auth, phone: ; e- mal: ralalabad@yahoo.com). nods n logcal doman s changed to ther new poston n physcal doman usually by usng an nterpolaton technque [6]. But n dfferental grd generaton methods, some constrants are used as grd generaton equatons and when solved, the logcal grd s mapped on to the physcal grd [7]. Fg. 1. The Cartesan logcal grd and the Physcal grd. A set of wdely used dfferental grd generaton equatons proposed by Thompson, Thames and Mastn (TTM) [8] s: P, (1a) xx yy xx yy Q, (1b) P and Q, the control functons whch are used for better control of the dstrbuton of grd lnes, need to be known at all nodal ponts before the soluton. Several methods have been proposed to calculate these functons some of whch use some 1-dmensonal or mult-dmensonal nterpolaton technques to calculate these functons n the doman regardng to ther values on the boundares [9,1,11]. Boundary values are calculated usng (1a) and (1b) and pavng layers n physcal doman. Pavng layers are two layers of grd generated adacent to the boundares usng a smple algebrac method as shown n Fg.. In 1D nterpolaton technques, the followng onedmensonal formulas can be used to calculate the nternal values of the source functons usng ther correspondng boundary values: P, C PS 1 C PN Q, C Q 1 C Q W E In mult-dmensonal nterpolaton technques, the nternal values of the source functons are obtaned n the doman usng a mult-dmensonal set of formulas or through the soluton of a Drchlet boundary value problem IJBAS-IJENS August 11 IJENS
2 Internatonal Journal of Basc & Appled Scences IJBAS-IJENS Vol: 11 No: 4 8 In order to study the presented method, the underlyng theory s dscussed frst. Then the descrpton of the method and the governng equatons are presented. The paper s followed by a secton on some grd generaton examples, a dscusson on the results and concluson secton. Fg.. Pavng layers used to calculate nodal values of P and Q near the boundares of the physcal doman. Although some schemes have been proposed to solve (1a) and (1b) drectly [11], the usual method to solve these equatons s nvertng equatons analytcally, lnearzng and then solvng them numercally n the logcal doman. When nverted, the system of equatons to be solved s: g x g1x g11x J x P x Q (3a) g y g y g y J y P y Q 1 11 (3b) The most usual approach n the orthogonal grd generaton, as another robust method n dfferental grd generaton, s a method proposed by Ryskn and Leal [1]. Based on the assumptons of contnuty and orthogonalty of the coordnate lnes and by mposng the orthogonalty condton, g x x y y, the followng grd 1 generaton equatons are obtaned: x 1 x f (4a) f y 1 y f (4b) f f s the dstorton factor and s defned as follows: f x y g (5) g11 x y Calculaton of the nodal values of dstorton factor n the doman s a maor step n the orthogonal grd generaton and s dscussed n a number of publcatons [1, 13, 14]. Most commonly, f s calculated frst at the boundares and then nterpolated nto the doman. The dea underlned n the above two classcal methods, s mappng logcal doman onto the physcal doman by two Laplace equatons. These grd generaton equatons are n fact constrants on the mappng functons x(, ), y(, ) and are solved on the logcal grd. In the new structured grd generaton method presented here, two lnear dfferental equatons are used to constrant the boundary dsplacement of an ntal grd nstead of mappng functons x (, ), y(, ). In the mult-dmensonal nterpolaton technque appled, two Poson equatons are solved to obtan the dsplacement of nodal coordnates n the physcal doman. II. THE PROPOSED GRID GENERATION METHOD A. Grd Generaton Procedure Usng smple algebrac grd generaton technques, an ntal grd, wth the nodal coordnates x, y, can be generated for a doman as shown n Fg.3. Ths ntal smple grd s located n the physcal x, y space. The dea s to fnd a way to dsplace the boundares to conform them to the boundares of target geometry n physcal doman (Fg.3b). Obvously the dsplacement vectors whch connect the ntal boundary nodes to the target boundary nodes can be calculated, so a multdmensonal nterpolaton technque s employed to fnd the dsplacements of the nternal nodes. Here two ellptc equatons are used as grd generaton equatons whch nterpolate the boundary dsplacements (nterpolants) nto the doman to generate the physcal grd. Fg. 3. A smple ntal grd and the physcal doman. By usng smple algebrac methods, several ntal grds can be generated for any doman. The shape of ntal grd can affect the computatonal cost and the method of solvng grd generaton equatons. Several possble ntal grds generated for physcal domans are ntroduced next and the dscretzaton scheme s presented afterwards. B. The Intal Grd The ntal grd shown n Fg. 3a s a smple grd wth all the smple features of the logcal grd, and s an approprate grd for a Fnte Dfference Method (FDM) soluton to the grd generaton equatons. Employng the nformaton from geometry, more approprate grds can be generated. Some of possble ntal grds for one sample geometry, here called partally adapted grds, are shown n Fg. 4. These ntal grds, respect some of the features of the target geometry, but the dstorted quadrlateral cells, may not be approprate for FDM soluton to the governng equatons. So, a more powerful dscretzaton method such as FEM or FVM s needed to solve the dfferental grd generaton equatons on a partally adapted ntal grd IJBAS-IJENS August 11 IJENS
3 Internatonal Journal of Basc & Appled Scences IJBAS-IJENS Vol: 11 No: 4 81 Fg. 4. Partally adapted ntal grds. Adapted to the corner ponts, adapted to one boundary, adapted to two boundares and adapted to three boundares. As shown n Fg. 4, the ntal grd can share only the corner ponts wth the target geometry or both the corner ponts and some boundares. An FEM or FVM dscretzaton method can be appled to solve the dfferental grd generaton equatons for all ntal grds. These schemes can also be applcable for some specal geometres n whch a smple, not adapted ntal grd may have dstorted quadrlateral cells. Such a doman s shown n Fg. 5. Fg. 5. Two knds of smple, not adapted ntal grd for a specal geometry Usng FEM or FVM dscretzaton method to solve the dfferental grd generaton equatons, the user can solve the grd generaton problem n mult steps. In ths approach an ncrement of boundary dsplacement s used as boundary condton and an ntermedate target doman s generated n each step. Each ntermedate grd serves as the ntal grd for the next target grd and has dstorted quadrlateral cells. In the fnal step, the target doman s the target geometry. Several target domans for a smple geometry s shown n Fg. 6. As t wll be shown n the result secton, usng ths technque help us to avod foldng n complex geometres and generate a smoother grd. In ths paper an Element-Based Fnte Volume method has been used for the soluton of grd generaton equatons. Fg. 6. Usng mult step technque n a grd generaton problem Algebrac methods can be used as a robust and fast method to generate smple or partally adapted grds. In order to generate smple ntal grd, the corners of fnal geometry s connected wth straght lnes, but n partally adapted grd, the user choose some of the boundares from fnal doman as adapted boundares and generate other boundares by connectng the correspondng corners wth straght lnes. After generatng the boundares of ntal doman, the ntal grd s generated wth Transfnte Interpolaton Technque (TFI) [6]. The TFI formulaton used here for generatng s as follows: R, C, N R, N C,1R,1 C1, R1, CM, RM, (6) C R C R C R C R 1, N 1, N M, N M, N 1,1 1,1 M,1 M,1 In ths formula the coordnate of node, s generated by usng the coordnates of boundary nodes n a (M N) grd. C. Numercal Soluton of Grd generaton Equatons The equatons used to nterpolate the boundary dsplacements nto the doman, n order to obtan the coordnates of nternal nodal ponts, are two poson equatons as follows: x x x P, (7a) x y y x y y Q, (7b) y The boundary condtons for these equatons are the dsplacements calculated on the boundares. So for partally adapted grds (as shown n Fg. 4b, c, d), x, y for boundares whch should be dsplaced to conform to the target geometry and x, y for adapted boundares. P and Q are the functons used for better control of the dstrbuton of grd lnes lke n (1a) and (1b). These IJBAS-IJENS August 11 IJENS
4 Internatonal Journal of Basc & Appled Scences IJBAS-IJENS Vol: 11 No: 4 8 parameters are calculated usng (7a) and (7b) and the pavng layers generated on the boundares n physcal doman (Fg. ), and then nterpolated nto the doman usng TFI technque. In the Element-Based Fnte Volume method used here for the soluton of (7a) and (7b), each node n the D physcal doman s consdered n a control volume as shown n Fg. 7 [15]. In ths fgure the sold lnes are the ntal grd lnes and dashed lnes show the control volume around nod P. Defnng x y q ( x), q ( y) (8) The ntegral of (7a) over the control volume wth volume V and surface S, s q dv q ds (9) V S The surface S conssts of a number of panels, and P s an ntegraton pont located at the center of each panel. Fg. 7. A D element-based fnte volume grd arrangement. The ntegrals n (9) are approxmated as follows: q p ds q p S F S p p where S p s the area of each panel contanng P and p p (1) F can p be thought of as a generalzed flow across the panel P drven by f. The scalar quantty F at the ntegraton pont p s functon of the element local coordnates and the fnal algebrac equaton usng the algebrac constrant on namng convecton n Fg. 7 s: C ( x) C ( x) C ( x) P C N SW P C ( x) N ( x) SW W S C NE W C ( x) S ( x) E C NE NW C E ( x) SE NW ( x) SE F n the p (11) Equaton (11) s a nne-pont computatonal molecule whch constrans the x n node P. Applyng a smlar dervaton on (7b), another algebrac equaton relatng y, and for each nteror node s generated. These equatons can be wrtten n the followng matrx forms: A1 ( x) b1 (1a) A y b (1b) The nodal values of ( x), y, and prescrbed for adacent boundary nodes, are used as boundary condtons of these equatons. These lnear algebrac sets of equatons can be solved by any drect or teratve lnear solvers. III. RESULTS AND DISCUSSION A number of grd generaton examples solved by TTM method and the new ellptc method proposed here are presented n ths secton. Four geometres are chosen here and a course ( ) grd s generated n two of them n order to vsualze the detals of performance of all methods better. Fner ( 1 1 ) grds are generated n two other geometres. The proposed grd generaton equatons are solved by FDM method n one step and also by FVM solver through mult steps and wth two dfferent ntal grds. In order to compare the grd qualty, skewness has been chosen as a parameter to measure the qualty of grds. Skewness of a cell whch s between and 1 measures the devaton from the orthogonalty of the coordnate lnes. The computatonal cost n ellptc grd generaton depends mostly on the cost of the soluton of the grd generaton equatons. Both TTM equatons and the proposed equatons are lnear poson equatons and so the computatonal cost s smlar. Fg. 8 shows the dscretzed boundares and the ( ) grd generated by TTM and new proposed equatons n frst doman. The boundary nodes of physcal doman are represented by * sgns and ntal grds for each solver s shown n Fg.8d,8g,8. The grd generated by TTM solver and FDM solver are smlar. FVM solver wth smple ntal grd generates a dfferent smoother grd but as shown n Fg. 8k and 8l, by usng FVM solver n mult steps wth the partally adapted ntal grd shown n Fg. 8, a smoother grd s generated. As there are 1 cells along each coordnate lne n the grds, each qualty measure dagram shows the relevant skewness quantty for all 1 cells on a three-dmensonal plot contanng 1 1 data ponts. Fg. 9 shows the second doman n whch TTM method generates a smooth grd but FDM mplementaton of proposed equatons generates a folded grd. The ntal grd for FDM solver and smple ntal grd for FVM solver are smlar for ths geometry. As t s shown n Fg. 8g to 8l, the partally adapted ntal grd, help FVM solver to generate a smoother grd. Agan the skewness parameter s shown for all 1 cells on a three-dmensonal plot. In Fg. 1 a fner ( 1 1) grd s generated n thrd sample doman. FVM solver has been used only for mult step soluton for ths doman and ntal grd for FDM and FVM soluton are smlar for ths geometry. As shown n three-dmensonal skewness plot whch contans data ponts n the doman, FVM solver generates a smoother grd compared wth FDM and TTM solver. Fg. 11 shows the ( 1 1) grds generated around an arfol. The nodes around the arfol are dstrbuted unformly and ntal grds are shown around half of the arfol and FVM solver has been used only for mult step soluton. The skewness parameter s agan shown for all 4 cells on a threedmensonal plot. As shown n Fg. 11d, h and l, TTM and FDM solver generate smoother grds for ths geometry IJBAS-IJENS August 11 IJENS
5 Internatonal Journal of Basc & Appled Scences IJBAS-IJENS Vol: 11 No: 4 83 (e) (f) (g) (h) () () (k) (l) Fg. 8. The Physcal doman, TTM grd,qualty measures for TTM grd, the ntal grd for FDM one step soluton,the grd obtaned by the proposed method va FDM (e), qualty measures for FDM grd (f), a smple ntal grd (g), the grd obtaned by the proposed method va FVM for smple ntal grd (h), qualty measures for FVM soluton of equatons on smple ntal grd (), a partally adapted ntal grd (), the grd obtaned by the proposed method va FVM for partally adapted ntal grd (k), qualty measures for FVM soluton of equatons on partally adapted ntal grd (l) IJBAS-IJENS August 11 IJENS
6 Internatonal Journal of Basc & Appled Scences IJBAS-IJENS Vol: 11 No: 4 84 (e) (f) (g) (h) () () (k) (l) Fg. 9. The Physcal doman, TTM grd,qualty measures for TTM grd, the ntal grd for FDM one step soluton,the grd obtaned by the proposed method va FDM (e), qualty measures for FDM grd (f), a smple ntal grd (g), the grd obtaned by the proposed method va FVM for smple ntal grd (h), qualty measures for FVM soluton of equatons on smple ntal grd (), a partally adapted ntal grd (), the grd obtaned by the proposed method va FVM for partally adapted ntal grd (k), qualty measures for FVM soluton of equatons on partally adapted ntal grd (l) IJBAS-IJENS August 11 IJENS
7 Internatonal Journal of Basc & Appled Scences IJBAS-IJENS Vol: 11 No: 4 85 (e) (f) (g) (h) () () (k) (l) Fg. 1. The Physcal doman, TTM grd, a larger vew of a secton of north boundary, qualty measures for TTM grd, the ntal grd for FDM one step soluton(e),the grd obtaned by the proposed method va FDM (f), a larger vew of a secton of north boundary (g), qualty measures for FDM grd (h), a partally adapted ntal grd (), the grd obtaned by the proposed method va FVM for partally adapted ntal grd(), a larger vew of a secton of north boundary (k), qualty measures for FVM soluton of equatons on partally adapted ntal grd (l) IJBAS-IJENS August 11 IJENS
8 Internatonal Journal of Basc & Appled Scences IJBAS-IJENS Vol: 11 No: 4 86 (e) (f) (g) (h) () () (k) (l) Fg.11. The Physcal doman, TTM grd, a larger vew the grd around arfol, qualty measures for TTM grd, the ntal grd for FDM one step soluton(e),the grd obtaned by the proposed method va FDM (f), a larger vew the grd around arfol (g), qualty measures for FDM grd (h), a partally adapted ntal grd (), the grd obtaned by the proposed method va FVM for partally adapted ntal grd(), a larger vew the grd around arfol (k), qualty measures for FVM soluton of equatons on partally adapted ntal grd (l). IV. CONCLUSION In ths paper, after revewng the two most commonly used classcal methods of ellptc grd generaton, a new ellptc grd generaton method was proposed. In ths method the general dea was smlar to the prevous methods; solvng a multdmensonal nterpolaton problem, but the nterpolants were dfferent parameters. In the smple dfferental method presented, an ntal grd was deformed to conform to the gven physcal boundares and the dfferences between coordnates of boundary nodes of an ntal grd and the fnal grd are used as nterpolants. Two poson equatons are ntroduced as grd generaton equatons and the boundary condtons are the nterpolants dscussed. FDM scheme n one step and FVM scheme n both one step and mult steps have been used to solve the equatons and the skewness dagram s presented to study the smoothness of fnal grds better. FVM solver generates smoother grds wth better qualty especally n complex geometres and wth a partally adapted grd as an ntal grd. As a result, t can be mentoned that the proposed method solve grd generaton problem from a dfferent vewpont and n general ths method s computatonally smlar to TTM method whle both methods provde grds wth comparable qualtes. REFERENCES [1] R. W. Noack, D. A. Anderson, Soluton-Adaptve Grd Generaton usng Parabolc Partal Dfferental Equatons, Journal of The Amercan Insttute of Aeronautcs and Astronautcs, Vol. 8, pp , 199. [] D. L. Marcum, N. P. Weatherll, Unstructured Grd Generaton Usng Iteratve Pont Inserton and Local Reconnecton, Journal of The Amercan Insttute of Aeronautcs and Astronautcs, Vol. 33, pp , [3] C. Cont, R. Morand, R. M. Sptaler, An algebrac ellptc algorthm for boundary orthogonal grd generaton, Journal of Appled Mathematcs and Computaton, Issue 16, pp. 15 7, 5. [4] Y. Zhang, Y. Ja, S. S.Y. Wang, D nearly orthogonal mesh generaton wth controls on dstorton functon, Journal of Computatonal Physcs, Issue 18, pp , 6. [5] A. Ashrafzadeh, R. Jalalabad and M. Bazargan, A New Structured Grd Generaton Method, The 11th ISGG IJBAS-IJENS August 11 IJENS
9 Internatonal Journal of Basc & Appled Scences IJBAS-IJENS Vol: 11 No: 4 87 Conference, Ecole Polytechnque, Montreal, Canada, May 5-8, 9. [6] Peter R. Eseman, Yung K. Choo and Robert E. Smth, Algebrac Grd Generaton wth Control Ponts, Fnte elements flud, Vol. 8, pp , 199. [7] P. Barrera-Sánchez, F.J. Domínguez-Mota, G.F. González-Flores, Longna J.Castellanos Noda y Ángel A.Pérez Domínguez, Area Functonals For Hgh Qualty Grd Generaton, 4º Congreso Internaconal, º Congreso Naconal sobre Métodos Numércos en Ingenería y Cencas Aplcadas, Méxco, 7. [8] J. F. Thompson, F. C. Thames and C. W. Mastn, Automatc Numercal Generaton of Body-Ftted Curvlnear Coordnate System for Felds Contanng Any Number of Arbtrary Two- Dmentonal Bodes, Journal of Computatonal Physcs, Vol. 15, pp , [9] P.D.Thomas and J.F.Mddlecoff, Drect Control of the Grd Ponts Dstrbuton n Meshes Generated by Ellptc Equatons, Journal of the Amercan Insttute of Aeronautcs and Astronautcs, Vol. 18, pp , 198. [1] A. Ashrafzadeh, G. D. Rathby, Drect Desgn Soluton of the Ellptc Grd Generaton Equatons, Journal of Numercal Heat Transfer, Vol. 5, pp. 17-3, 6. [11] S. P. Spekrese, Ellptc Grd Generaton Based on Laplace Equatons and Algebrac Transformatons, Journal of Computatonal Physcs, Vol. 118, pp , [1] G.Ryskn & L.G.Leal, orthogonal mappng, Journal of Computatonal Physcs, Vol. 5, pp. 71 1, [13] Andre Bourchetn and Ludmla Bourchetn, On generaton of Orthogonal Grds, Journal of Appled Mathematcs and Computng, Vol. 173, pp , 6. [14] R. duraswam and A. Prosperett, Orthogonal Mappng n Two Dmensons, Journal of Computatonal Physcs, Vol. 98, pp , 199. [15] A. Ashrafzadeh, G. D. Rathby, and G. D. Stubley, Drect Desgn of Shape, Numercal Heat Transfer, Part B, Vol. 41, pp. 51-5, IJBAS-IJENS August 11 IJENS
An Accurate Evaluation of Integrals in Convex and Non convex Polygonal Domain by Twelve Node Quadrilateral Finite Element Method
Internatonal Journal of Computatonal and Appled Mathematcs. ISSN 89-4966 Volume, Number (07), pp. 33-4 Research Inda Publcatons http://www.rpublcaton.com An Accurate Evaluaton of Integrals n Convex and
More information2x x l. Module 3: Element Properties Lecture 4: Lagrange and Serendipity Elements
Module 3: Element Propertes Lecture : Lagrange and Serendpty Elements 5 In last lecture note, the nterpolaton functons are derved on the bass of assumed polynomal from Pascal s trangle for the fled varable.
More informationVery simple computational domains can be discretized using boundary-fitted structured meshes (also called grids)
Structured meshes Very smple computatonal domans can be dscretzed usng boundary-ftted structured meshes (also called grds) The grd lnes of a Cartesan mesh are parallel to one another Structured meshes
More informationR s s f. m y s. SPH3UW Unit 7.3 Spherical Concave Mirrors Page 1 of 12. Notes
SPH3UW Unt 7.3 Sphercal Concave Mrrors Page 1 of 1 Notes Physcs Tool box Concave Mrror If the reflectng surface takes place on the nner surface of the sphercal shape so that the centre of the mrror bulges
More informationS.P.H. : A SOLUTION TO AVOID USING EROSION CRITERION?
S.P.H. : A SOLUTION TO AVOID USING EROSION CRITERION? Célne GALLET ENSICA 1 place Emle Bloun 31056 TOULOUSE CEDEX e-mal :cgallet@ensca.fr Jean Luc LACOME DYNALIS Immeuble AEROPOLE - Bat 1 5, Avenue Albert
More informationQuality Improvement Algorithm for Tetrahedral Mesh Based on Optimal Delaunay Triangulation
Intellgent Informaton Management, 013, 5, 191-195 Publshed Onlne November 013 (http://www.scrp.org/journal/m) http://dx.do.org/10.36/m.013.5601 Qualty Improvement Algorthm for Tetrahedral Mesh Based on
More informationA MOVING MESH APPROACH FOR SIMULATION BUDGET ALLOCATION ON CONTINUOUS DOMAINS
Proceedngs of the Wnter Smulaton Conference M E Kuhl, N M Steger, F B Armstrong, and J A Jones, eds A MOVING MESH APPROACH FOR SIMULATION BUDGET ALLOCATION ON CONTINUOUS DOMAINS Mark W Brantley Chun-Hung
More informationChapter 6 Programmng the fnte element method Inow turn to the man subject of ths book: The mplementaton of the fnte element algorthm n computer programs. In order to make my dscusson as straghtforward
More informationProblem Definitions and Evaluation Criteria for Computational Expensive Optimization
Problem efntons and Evaluaton Crtera for Computatonal Expensve Optmzaton B. Lu 1, Q. Chen and Q. Zhang 3, J. J. Lang 4, P. N. Suganthan, B. Y. Qu 6 1 epartment of Computng, Glyndwr Unversty, UK Faclty
More informationMathematics 256 a course in differential equations for engineering students
Mathematcs 56 a course n dfferental equatons for engneerng students Chapter 5. More effcent methods of numercal soluton Euler s method s qute neffcent. Because the error s essentally proportonal to the
More informationMultiblock method for database generation in finite element programs
Proc. of the 9th WSEAS Int. Conf. on Mathematcal Methods and Computatonal Technques n Electrcal Engneerng, Arcachon, October 13-15, 2007 53 Multblock method for database generaton n fnte element programs
More informationType-2 Fuzzy Non-uniform Rational B-spline Model with Type-2 Fuzzy Data
Malaysan Journal of Mathematcal Scences 11(S) Aprl : 35 46 (2017) Specal Issue: The 2nd Internatonal Conference and Workshop on Mathematcal Analyss (ICWOMA 2016) MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES
More informationAccounting for the Use of Different Length Scale Factors in x, y and z Directions
1 Accountng for the Use of Dfferent Length Scale Factors n x, y and z Drectons Taha Soch (taha.soch@kcl.ac.uk) Imagng Scences & Bomedcal Engneerng, Kng s College London, The Rayne Insttute, St Thomas Hosptal,
More informationAn Optimal Algorithm for Prufer Codes *
J. Software Engneerng & Applcatons, 2009, 2: 111-115 do:10.4236/jsea.2009.22016 Publshed Onlne July 2009 (www.scrp.org/journal/jsea) An Optmal Algorthm for Prufer Codes * Xaodong Wang 1, 2, Le Wang 3,
More informationHigh-Boost Mesh Filtering for 3-D Shape Enhancement
Hgh-Boost Mesh Flterng for 3-D Shape Enhancement Hrokazu Yagou Λ Alexander Belyaev y Damng We z Λ y z ; ; Shape Modelng Laboratory, Unversty of Azu, Azu-Wakamatsu 965-8580 Japan y Computer Graphcs Group,
More informationA Binarization Algorithm specialized on Document Images and Photos
A Bnarzaton Algorthm specalzed on Document mages and Photos Ergna Kavalleratou Dept. of nformaton and Communcaton Systems Engneerng Unversty of the Aegean kavalleratou@aegean.gr Abstract n ths paper, a
More informationLecture #15 Lecture Notes
Lecture #15 Lecture Notes The ocean water column s very much a 3-D spatal entt and we need to represent that structure n an economcal way to deal wth t n calculatons. We wll dscuss one way to do so, emprcal
More informationHermite Splines in Lie Groups as Products of Geodesics
Hermte Splnes n Le Groups as Products of Geodescs Ethan Eade Updated May 28, 2017 1 Introducton 1.1 Goal Ths document defnes a curve n the Le group G parametrzed by tme and by structural parameters n the
More informationInvestigations of Topology and Shape of Multi-material Optimum Design of Structures
Advanced Scence and Tecnology Letters Vol.141 (GST 2016), pp.241-245 ttp://dx.do.org/10.14257/astl.2016.141.52 Investgatons of Topology and Sape of Mult-materal Optmum Desgn of Structures Quoc Hoan Doan
More informationWavefront Reconstructor
A Dstrbuted Smplex B-Splne Based Wavefront Reconstructor Coen de Vsser and Mchel Verhaegen 14-12-201212 2012 Delft Unversty of Technology Contents Introducton Wavefront reconstructon usng Smplex B-Splnes
More informationImplementation of Control Point Form of Algebraic Grid-Generation Technique
NASA Techncal Memorandum 103748 mplementaton of Control Pont Form of Algebrac Grd-Generaton Technque (NASA-T_-03748) MPLEMENTATON OF CONTROL PONT FORM _F AL_E3RAC GRD-GENERATON TECHNQUE (NA3A) 13 p CSCL
More informationNUMERICAL SOLVING OPTIMAL CONTROL PROBLEMS BY THE METHOD OF VARIATIONS
ARPN Journal of Engneerng and Appled Scences 006-017 Asan Research Publshng Network (ARPN). All rghts reserved. NUMERICAL SOLVING OPTIMAL CONTROL PROBLEMS BY THE METHOD OF VARIATIONS Igor Grgoryev, Svetlana
More informationLoad Balancing for Hex-Cell Interconnection Network
Int. J. Communcatons, Network and System Scences,,, - Publshed Onlne Aprl n ScRes. http://www.scrp.org/journal/jcns http://dx.do.org/./jcns.. Load Balancng for Hex-Cell Interconnecton Network Saher Manaseer,
More informationAn Improved Isogeometric Analysis Using the Lagrange Multiplier Method
An Improved Isogeometrc Analyss Usng the Lagrange Mltpler Method N. Valzadeh 1, S. Sh. Ghorash 2, S. Mohammad 3, S. Shojaee 1, H. Ghasemzadeh 2 1 Department of Cvl Engneerng, Unversty of Kerman, Kerman,
More information3D vector computer graphics
3D vector computer graphcs Paolo Varagnolo: freelance engneer Padova Aprl 2016 Prvate Practce ----------------------------------- 1. Introducton Vector 3D model representaton n computer graphcs requres
More informationSolitary and Traveling Wave Solutions to a Model. of Long Range Diffusion Involving Flux with. Stability Analysis
Internatonal Mathematcal Forum, Vol. 6,, no. 7, 8 Soltary and Travelng Wave Solutons to a Model of Long Range ffuson Involvng Flux wth Stablty Analyss Manar A. Al-Qudah Math epartment, Rabgh Faculty of
More informationSupport Vector Machines
/9/207 MIST.6060 Busness Intellgence and Data Mnng What are Support Vector Machnes? Support Vector Machnes Support Vector Machnes (SVMs) are supervsed learnng technques that analyze data and recognze patterns.
More informationRelated-Mode Attacks on CTR Encryption Mode
Internatonal Journal of Network Securty, Vol.4, No.3, PP.282 287, May 2007 282 Related-Mode Attacks on CTR Encrypton Mode Dayn Wang, Dongda Ln, and Wenlng Wu (Correspondng author: Dayn Wang) Key Laboratory
More informationTECHNICAL TRANSACTIONS 7/2017 CZASOPISMO TECHNICZNE 7/2017 MECHANICS
TECHCAL TRASACTOS 7/207 CZASOPSMO TECHCZE 7/207 MECHACS DO: 0.4467/2353737XCT.7.5.6656 Artur Krowa (rowa@mech.p.edu.pl) nsttute of Computer Scence, Faculty of Mechancal Engneerng, Cracow Unversty of Technology
More informationOn Some Entertaining Applications of the Concept of Set in Computer Science Course
On Some Entertanng Applcatons of the Concept of Set n Computer Scence Course Krasmr Yordzhev *, Hrstna Kostadnova ** * Assocate Professor Krasmr Yordzhev, Ph.D., Faculty of Mathematcs and Natural Scences,
More informationSome Tutorial about the Project. Computer Graphics
Some Tutoral about the Project Lecture 6 Rastersaton, Antalasng, Texture Mappng, I have already covered all the topcs needed to fnsh the 1 st practcal Today, I wll brefly explan how to start workng on
More informationAn Application of the Dulmage-Mendelsohn Decomposition to Sparse Null Space Bases of Full Row Rank Matrices
Internatonal Mathematcal Forum, Vol 7, 2012, no 52, 2549-2554 An Applcaton of the Dulmage-Mendelsohn Decomposton to Sparse Null Space Bases of Full Row Rank Matrces Mostafa Khorramzadeh Department of Mathematcal
More informationVectorization of Image Outlines Using Rational Spline and Genetic Algorithm
01 Internatonal Conference on Image, Vson and Computng (ICIVC 01) IPCSIT vol. 50 (01) (01) IACSIT Press, Sngapore DOI: 10.776/IPCSIT.01.V50.4 Vectorzaton of Image Outlnes Usng Ratonal Splne and Genetc
More informationA gradient smoothing method (GSM) for fluid dynamics problems
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS Int. J. Numer. Meth. Fluds 2008; 58:1101 1133 Publshed onlne 27 March 2008 n Wley InterScence (www.nterscence.wley.com)..1788 A gradent smoothng method
More informationCluster Analysis of Electrical Behavior
Journal of Computer and Communcatons, 205, 3, 88-93 Publshed Onlne May 205 n ScRes. http://www.scrp.org/ournal/cc http://dx.do.org/0.4236/cc.205.350 Cluster Analyss of Electrcal Behavor Ln Lu Ln Lu, School
More informationSimulation of a Ship with Partially Filled Tanks Rolling in Waves by Applying Moving Particle Semi-Implicit Method
Smulaton of a Shp wth Partally Flled Tanks Rollng n Waves by Applyng Movng Partcle Sem-Implct Method Jen-Shang Kouh Department of Engneerng Scence and Ocean Engneerng, Natonal Tawan Unversty, Tape, Tawan,
More informationActive Contours/Snakes
Actve Contours/Snakes Erkut Erdem Acknowledgement: The sldes are adapted from the sldes prepared by K. Grauman of Unversty of Texas at Austn Fttng: Edges vs. boundares Edges useful sgnal to ndcate occludng
More informationSolving two-person zero-sum game by Matlab
Appled Mechancs and Materals Onlne: 2011-02-02 ISSN: 1662-7482, Vols. 50-51, pp 262-265 do:10.4028/www.scentfc.net/amm.50-51.262 2011 Trans Tech Publcatons, Swtzerland Solvng two-person zero-sum game by
More informationParallelism for Nested Loops with Non-uniform and Flow Dependences
Parallelsm for Nested Loops wth Non-unform and Flow Dependences Sam-Jn Jeong Dept. of Informaton & Communcaton Engneerng, Cheonan Unversty, 5, Anseo-dong, Cheonan, Chungnam, 330-80, Korea. seong@cheonan.ac.kr
More informationSolutions to Programming Assignment Five Interpolation and Numerical Differentiation
College of Engneerng and Coputer Scence Mechancal Engneerng Departent Mechancal Engneerng 309 Nuercal Analyss of Engneerng Systes Sprng 04 Nuber: 537 Instructor: Larry Caretto Solutons to Prograng Assgnent
More informationA Fast Visual Tracking Algorithm Based on Circle Pixels Matching
A Fast Vsual Trackng Algorthm Based on Crcle Pxels Matchng Zhqang Hou hou_zhq@sohu.com Chongzhao Han czhan@mal.xjtu.edu.cn Ln Zheng Abstract: A fast vsual trackng algorthm based on crcle pxels matchng
More informationPositive Semi-definite Programming Localization in Wireless Sensor Networks
Postve Sem-defnte Programmng Localzaton n Wreless Sensor etworks Shengdong Xe 1,, Jn Wang, Aqun Hu 1, Yunl Gu, Jang Xu, 1 School of Informaton Scence and Engneerng, Southeast Unversty, 10096, anjng Computer
More informationContent Based Image Retrieval Using 2-D Discrete Wavelet with Texture Feature with Different Classifiers
IOSR Journal of Electroncs and Communcaton Engneerng (IOSR-JECE) e-issn: 78-834,p- ISSN: 78-8735.Volume 9, Issue, Ver. IV (Mar - Apr. 04), PP 0-07 Content Based Image Retreval Usng -D Dscrete Wavelet wth
More informationON SOME ENTERTAINING APPLICATIONS OF THE CONCEPT OF SET IN COMPUTER SCIENCE COURSE
Yordzhev K., Kostadnova H. Інформаційні технології в освіті ON SOME ENTERTAINING APPLICATIONS OF THE CONCEPT OF SET IN COMPUTER SCIENCE COURSE Yordzhev K., Kostadnova H. Some aspects of programmng educaton
More informationProper Choice of Data Used for the Estimation of Datum Transformation Parameters
Proper Choce of Data Used for the Estmaton of Datum Transformaton Parameters Hakan S. KUTOGLU, Turkey Key words: Coordnate systems; transformaton; estmaton, relablty. SUMMARY Advances n technologes and
More informationSENSITIVITY ANALYSIS WITH UNSTRUCTURED FREE MESH GENERATORS IN 2-D AND 3-D SHAPE OPTIMIZATION.
SENSITIVITY ANALYSIS WITH UNSTRUCTURED FREE MESH GENERATORS IN 2-D AND 3-D SHAPE OPTIMIZATION. P. Duysnx, W.H. Zhang, C. Fleury. Aerospace Laboratory, LTAS, Unversty of Lège B-4000 LIEGE, BELGIUM. ABSTRACT.
More informationA More Robust Multi-Parameter Conformal Mapping Method for Geometry Generation of any Arbitrary Ship Section
A More Robust Mult-Parameter Conformal Mappng Method for Geometry Generaton of any Arbtrary Shp Secton Mohammad Saleh a, Parvz Ghadm b*, Al Bakhshandeh Rostam c a Graduate Student at Dept. of Marne technology,
More informationComparison of h-, p- and hp-adaptation for convective heat transfer
Computatonal Methods and Expermental Measurements XIII 495 Comparson of h-, p- and hp-adaptaton for convectve heat transfer D. W. Pepper & X. Wang Nevada Center for Advanced Computatonal Methods, Unversty
More informationAn inverse problem solution for post-processing of PIV data
An nverse problem soluton for post-processng of PIV data Wt Strycznewcz 1,* 1 Appled Aerodynamcs Laboratory, Insttute of Avaton, Warsaw, Poland *correspondng author: wt.strycznewcz@lot.edu.pl Abstract
More informationAPPLICATION OF AN AUGMENTED REALITY SYSTEM FOR DISASTER RELIEF
APPLICATION OF AN AUGMENTED REALITY SYSTEM FOR DISASTER RELIEF Johannes Leebmann Insttute of Photogrammetry and Remote Sensng, Unversty of Karlsruhe (TH, Englerstrasse 7, 7618 Karlsruhe, Germany - leebmann@pf.un-karlsruhe.de
More informationSLAM Summer School 2006 Practical 2: SLAM using Monocular Vision
SLAM Summer School 2006 Practcal 2: SLAM usng Monocular Vson Javer Cvera, Unversty of Zaragoza Andrew J. Davson, Imperal College London J.M.M Montel, Unversty of Zaragoza. josemar@unzar.es, jcvera@unzar.es,
More informationKinematics of pantograph masts
Abstract Spacecraft Mechansms Group, ISRO Satellte Centre, Arport Road, Bangalore 560 07, Emal:bpn@sac.ernet.n Flght Dynamcs Dvson, ISRO Satellte Centre, Arport Road, Bangalore 560 07 Emal:pandyan@sac.ernet.n
More informationThe Codesign Challenge
ECE 4530 Codesgn Challenge Fall 2007 Hardware/Software Codesgn The Codesgn Challenge Objectves In the codesgn challenge, your task s to accelerate a gven software reference mplementaton as fast as possble.
More informationRECENT research on structured mesh flow solver for aerodynamic problems shows that for practical levels of
A Hgh-Order Accurate Unstructured GMRES Algorthm for Invscd Compressble Flows A. ejat * and C. Ollver-Gooch Department of Mechancal Engneerng, The Unversty of Brtsh Columba, 054-650 Appled Scence Lane,
More informationEnhanced Advancing Front Technique with Extension Cases for Initial Triangular Mesh Generation
, July 6-8, 2011, London, U.K. Enhanced Advancng Front Technque wth Extenson Cases for Intal Trangular Mesh Generaton Z. Abal Abas and S. Salleh Abstract Durng the element creaton procedure of ntal mesh
More informationCompiler Design. Spring Register Allocation. Sample Exercises and Solutions. Prof. Pedro C. Diniz
Compler Desgn Sprng 2014 Regster Allocaton Sample Exercses and Solutons Prof. Pedro C. Dnz USC / Informaton Scences Insttute 4676 Admralty Way, Sute 1001 Marna del Rey, Calforna 90292 pedro@s.edu Regster
More informationAMath 483/583 Lecture 21 May 13, Notes: Notes: Jacobi iteration. Notes: Jacobi with OpenMP coarse grain
AMath 483/583 Lecture 21 May 13, 2011 Today: OpenMP and MPI versons of Jacob teraton Gauss-Sedel and SOR teratve methods Next week: More MPI Debuggng and totalvew GPU computng Read: Class notes and references
More informationX- Chart Using ANOM Approach
ISSN 1684-8403 Journal of Statstcs Volume 17, 010, pp. 3-3 Abstract X- Chart Usng ANOM Approach Gullapall Chakravarth 1 and Chaluvad Venkateswara Rao Control lmts for ndvdual measurements (X) chart are
More informationSimplification of 3D Meshes
Smplfcaton of 3D Meshes Addy Ngan /4/00 Outlne Motvaton Taxonomy of smplfcaton methods Hoppe et al, Mesh optmzaton Hoppe, Progressve meshes Smplfcaton of 3D Meshes 1 Motvaton Hgh detaled meshes becomng
More informationComputer Animation and Visualisation. Lecture 4. Rigging / Skinning
Computer Anmaton and Vsualsaton Lecture 4. Rggng / Sknnng Taku Komura Overvew Sknnng / Rggng Background knowledge Lnear Blendng How to decde weghts? Example-based Method Anatomcal models Sknnng Assume
More informationREFRACTION. a. To study the refraction of light from plane surfaces. b. To determine the index of refraction for Acrylic and Water.
Purpose Theory REFRACTION a. To study the refracton of lght from plane surfaces. b. To determne the ndex of refracton for Acrylc and Water. When a ray of lght passes from one medum nto another one of dfferent
More informationDetermining the Optimal Bandwidth Based on Multi-criterion Fusion
Proceedngs of 01 4th Internatonal Conference on Machne Learnng and Computng IPCSIT vol. 5 (01) (01) IACSIT Press, Sngapore Determnng the Optmal Bandwdth Based on Mult-crteron Fuson Ha-L Lang 1+, Xan-Mn
More informationOrder of Accuracy Study of Unstructured Grid Finite Volume Upwind Schemes
João Luz F. Azevedo et al. João Luz F. Azevedo joaoluz.azevedo@gmal.com Comando-Geral de Tecnologa Aeroespacal Insttuto de Aeronáutca e Espaço IAE 12228-903 São José dos Campos, SP, Brazl Luís F. Fguera
More informationModule 6: FEM for Plates and Shells Lecture 6: Finite Element Analysis of Shell
Module 6: FEM for Plates and Shells Lecture 6: Fnte Element Analyss of Shell 3 6.6. Introducton A shell s a curved surface, whch by vrtue of ther shape can wthstand both membrane and bendng forces. A shell
More informationImprovement of Spatial Resolution Using BlockMatching Based Motion Estimation and Frame. Integration
Improvement of Spatal Resoluton Usng BlockMatchng Based Moton Estmaton and Frame Integraton Danya Suga and Takayuk Hamamoto Graduate School of Engneerng, Tokyo Unversty of Scence, 6-3-1, Nuku, Katsuska-ku,
More informationAssignment # 2. Farrukh Jabeen Algorithms 510 Assignment #2 Due Date: June 15, 2009.
Farrukh Jabeen Algorthms 51 Assgnment #2 Due Date: June 15, 29. Assgnment # 2 Chapter 3 Dscrete Fourer Transforms Implement the FFT for the DFT. Descrbed n sectons 3.1 and 3.2. Delverables: 1. Concse descrpton
More informationHarmonic Coordinates for Character Articulation PIXAR
Harmonc Coordnates for Character Artculaton PIXAR Pushkar Josh Mark Meyer Tony DeRose Bran Green Tom Sanock We have a complex source mesh nsde of a smpler cage mesh We want vertex deformatons appled to
More informationLearning-Based Top-N Selection Query Evaluation over Relational Databases
Learnng-Based Top-N Selecton Query Evaluaton over Relatonal Databases Lang Zhu *, Wey Meng ** * School of Mathematcs and Computer Scence, Hebe Unversty, Baodng, Hebe 071002, Chna, zhu@mal.hbu.edu.cn **
More information3D Virtual Eyeglass Frames Modeling from Multiple Camera Image Data Based on the GFFD Deformation Method
NICOGRAPH Internatonal 2012, pp. 114-119 3D Vrtual Eyeglass Frames Modelng from Multple Camera Image Data Based on the GFFD Deformaton Method Norak Tamura, Somsangouane Sngthemphone and Katsuhro Ktama
More informationImmersed Boundary Method for the Solution of 2D Inviscid Compressible Flow Using Finite Volume Approach on Moving Cartesian Grid
Journal of Appled Flud Mechancs, Vol. 4, No. 2, Specal Issue, pp. 27-36, 2011. Avalable onlne at www.jafmonlne.net, ISSN 1735-3572, EISSN 1735-3645. Immersed Boundary Method for the Soluton of 2D Invscd
More informationAP PHYSICS B 2008 SCORING GUIDELINES
AP PHYSICS B 2008 SCORING GUIDELINES General Notes About 2008 AP Physcs Scorng Gudelnes 1. The solutons contan the most common method of solvng the free-response questons and the allocaton of ponts for
More informationModeling of Airfoil Trailing Edge Flap with Immersed Boundary Method
Downloaded from orbt.dtu.dk on: Sep 27, 2018 Modelng of Arfol Tralng Edge Flap wth Immersed Boundary Method Zhu, We Jun; Shen, Wen Zhong; Sørensen, Jens Nørkær Publshed n: ICOWEOE-2011 Publcaton date:
More informationSteps for Computing the Dissimilarity, Entropy, Herfindahl-Hirschman and. Accessibility (Gravity with Competition) Indices
Steps for Computng the Dssmlarty, Entropy, Herfndahl-Hrschman and Accessblty (Gravty wth Competton) Indces I. Dssmlarty Index Measurement: The followng formula can be used to measure the evenness between
More informationUNIT 2 : INEQUALITIES AND CONVEX SETS
UNT 2 : NEQUALTES AND CONVEX SETS ' Structure 2. ntroducton Objectves, nequaltes and ther Graphs Convex Sets and ther Geometry Noton of Convex Sets Extreme Ponts of Convex Set Hyper Planes and Half Spaces
More informationMode III fracture mechanics analysis with Fourier series method
Mode III fracture mechancs analyss wth Fourer seres method F W M Kwok 3 L C Kang, and C R Steele Dvson of ppled Mechancs, Stanford Unversty, Stanford C 94305 numercal scheme based on the Fourer seres method
More informationc 2014 Xiaojia(Shelly) Zhang
c 2014 Xaoja(Shelly) Zhang MACRO-ELEMENT APPROACH FOR TOPOLOGY OPTIMIZATION OF TRUSSES USING A GROUND STRUCTURE METHOD BY XIAOJIA(SHELLY) ZHANG THESIS Submtted n partal fulfllment of the requrements for
More informationA Fast Content-Based Multimedia Retrieval Technique Using Compressed Data
A Fast Content-Based Multmeda Retreval Technque Usng Compressed Data Borko Furht and Pornvt Saksobhavvat NSF Multmeda Laboratory Florda Atlantc Unversty, Boca Raton, Florda 3343 ABSTRACT In ths paper,
More informationHigh resolution 3D Tau-p transform by matching pursuit Weiping Cao* and Warren S. Ross, Shearwater GeoServices
Hgh resoluton 3D Tau-p transform by matchng pursut Wepng Cao* and Warren S. Ross, Shearwater GeoServces Summary The 3D Tau-p transform s of vtal sgnfcance for processng sesmc data acqured wth modern wde
More informationIntra-Parametric Analysis of a Fuzzy MOLP
Intra-Parametrc Analyss of a Fuzzy MOLP a MIAO-LING WANG a Department of Industral Engneerng and Management a Mnghsn Insttute of Technology and Hsnchu Tawan, ROC b HSIAO-FAN WANG b Insttute of Industral
More informationClassifier Selection Based on Data Complexity Measures *
Classfer Selecton Based on Data Complexty Measures * Edth Hernández-Reyes, J.A. Carrasco-Ochoa, and J.Fco. Martínez-Trndad Natonal Insttute for Astrophyscs, Optcs and Electroncs, Lus Enrque Erro No.1 Sta.
More informationSum of Linear and Fractional Multiobjective Programming Problem under Fuzzy Rules Constraints
Australan Journal of Basc and Appled Scences, 2(4): 1204-1208, 2008 ISSN 1991-8178 Sum of Lnear and Fractonal Multobjectve Programmng Problem under Fuzzy Rules Constrants 1 2 Sanjay Jan and Kalash Lachhwan
More informationDifferential formulation of discontinuous Galerkin and related methods for compressible Euler and Navier-Stokes equations
Graduate Theses and Dssertatons Graduate College 2011 Dfferental formulaton of dscontnuous Galerkn and related methods for compressble Euler and Naver-Stokes equatons Hayang Gao Iowa State Unversty Follow
More informationDiscontinuous Galerkin methods for flow and transport problems in porous media
T COMMUNICATIONS IN NUMERICA METHODS IN ENGINEERING Commun. Numer. Meth. Engng 2; :1 6 [Verson: 2/3/22 v1.] Dscontnuous Galerkn methods for flow and transport problems n porous meda Béatrve Rvère and Mary
More informationSPH and ALE formulations for sloshing tank analysis
Int. Jnl. of Multphyscs Volume 9 Number 3 2015 209 SPH and ALE formulatons for sloshng tank analyss Jngxao Xu 1, Jason Wang 1 and Mhamed Soul*, 2 1 LSTC, Lvermore Software Technology Corp. Lvermore CA
More informationTHREE-DIMENSIONAL UNSTRUCTURED GRID GENERATION FOR FINITE-VOLUME SOLUTION OF EULER EQUATIONS
ICAS 2000 CONGRESS THREE-DIMENSIONAL UNSTRUCTURED GRID GENERATION FOR FINITE-VOLUME SOLUTION OF EULER EQUATIONS Karm Mazaher, Shahram Bodaghabad Sharf Unversty of Technology Keywords: Unstructured grd
More informationarxiv: v3 [cs.na] 18 Mar 2015
A Fast Block Low-Rank Dense Solver wth Applcatons to Fnte-Element Matrces AmrHossen Amnfar a,1,, Svaram Ambkasaran b,, Erc Darve c,1 a 496 Lomta Mall, Room 14, Stanford, CA, 9435 b Warren Weaver Hall,
More informationParallel matrix-vector multiplication
Appendx A Parallel matrx-vector multplcaton The reduced transton matrx of the three-dmensonal cage model for gel electrophoress, descrbed n secton 3.2, becomes excessvely large for polymer lengths more
More informationA 2D pre-processor for finite element programs based on a knowledge-based system
5th WSEAS / IASME Internatonal Conference on ENGINEERING EDUCATION (EE'08), Heraklon, Greece, July 22-24, 2008 A 2D pre-processor for fnte element programs based on a knowledge-based system DANIELA CÂRSTEA
More informationEcient Computation of the Most Probable Motion from Fuzzy. Moshe Ben-Ezra Shmuel Peleg Michael Werman. The Hebrew University of Jerusalem
Ecent Computaton of the Most Probable Moton from Fuzzy Correspondences Moshe Ben-Ezra Shmuel Peleg Mchael Werman Insttute of Computer Scence The Hebrew Unversty of Jerusalem 91904 Jerusalem, Israel Emal:
More informationWishing you all a Total Quality New Year!
Total Qualty Management and Sx Sgma Post Graduate Program 214-15 Sesson 4 Vnay Kumar Kalakband Assstant Professor Operatons & Systems Area 1 Wshng you all a Total Qualty New Year! Hope you acheve Sx sgma
More informationLecture 5: Multilayer Perceptrons
Lecture 5: Multlayer Perceptrons Roger Grosse 1 Introducton So far, we ve only talked about lnear models: lnear regresson and lnear bnary classfers. We noted that there are functons that can t be represented
More informationAn Iterative Solution Approach to Process Plant Layout using Mixed Integer Optimisation
17 th European Symposum on Computer Aded Process Engneerng ESCAPE17 V. Plesu and P.S. Agach (Edtors) 2007 Elsever B.V. All rghts reserved. 1 An Iteratve Soluton Approach to Process Plant Layout usng Mxed
More informationAn accelerated value/policy iteration scheme for the solution of DP equations
An accelerated value/polcy teraton scheme for the soluton of DP equatons Alessandro Alla 1, Maurzo Falcone 2, and Dante Kalse 3 1 SAPIENZA - Unversty of Rome, Ple. Aldo Moro 2, Rome, Italy alla@mat.unroma1.t
More informationA Robust LS-SVM Regression
PROCEEDIGS OF WORLD ACADEMY OF SCIECE, EGIEERIG AD ECHOLOGY VOLUME 7 AUGUS 5 ISS 37- A Robust LS-SVM Regresson József Valyon, and Gábor Horváth Abstract In comparson to the orgnal SVM, whch nvolves a quadratc
More informationMULTISPECTRAL IMAGES CLASSIFICATION BASED ON KLT AND ATR AUTOMATIC TARGET RECOGNITION
MULTISPECTRAL IMAGES CLASSIFICATION BASED ON KLT AND ATR AUTOMATIC TARGET RECOGNITION Paulo Quntlano 1 & Antono Santa-Rosa 1 Federal Polce Department, Brasla, Brazl. E-mals: quntlano.pqs@dpf.gov.br and
More informationUrbaWind, a Computational Fluid Dynamics tool to predict wind resource in urban area
UrbaWnd, a Computatonal Flud Dynamcs tool to predct wnd resource n urban area Karm FAHSSIS a, Gullaume DUPONT a, Perre LEYRONNAS a a Meteodyn, Nantes, France Presentng Author: Karm.fahsss@meteodyn.com,
More informationWhat are the camera parameters? Where are the light sources? What is the mapping from radiance to pixel color? Want to solve for 3D geometry
Today: Calbraton What are the camera parameters? Where are the lght sources? What s the mappng from radance to pel color? Why Calbrate? Want to solve for D geometry Alternatve approach Solve for D shape
More informationy and the total sum of
Lnear regresson Testng for non-lnearty In analytcal chemstry, lnear regresson s commonly used n the constructon of calbraton functons requred for analytcal technques such as gas chromatography, atomc absorpton
More informationInterpolation of the Irregular Curve Network of Ship Hull Form Using Subdivision Surfaces
7 Interpolaton of the Irregular Curve Network of Shp Hull Form Usng Subdvson Surfaces Kyu-Yeul Lee, Doo-Yeoun Cho and Tae-Wan Km Seoul Natonal Unversty, kylee@snu.ac.kr,whendus@snu.ac.kr,taewan}@snu.ac.kr
More informationMOTION BLUR ESTIMATION AT CORNERS
Gacomo Boracch and Vncenzo Caglot Dpartmento d Elettronca e Informazone, Poltecnco d Mlano, Va Ponzo, 34/5-20133 MILANO boracch@elet.polm.t, caglot@elet.polm.t Keywords: Abstract: Pont Spread Functon Parameter
More information