Two Dimensional Modeling of Dam-Break Flows
|
|
- Cora Richard
- 5 years ago
- Views:
Transcription
1 Rver Flow 1 - Dttrch, Koll, Aberle & Gesenhaner (eds) - 1 Bundesanstalt für Wasserbau ISBN wo Dmensonal Modelng of Dam-Break Flows Ahmad ahershams & Mahnaz Ghaen Hessaroeyeh Department of Cvl Engneerng, Amrkabr Unversty of echnology, ehran, Iran Masoud Montazer Namn Department of Cvl Engneerng, Unversty of ehran, ehran, Iran ABSRAC: A two-dmensonal flow model based on shallow water equatons s developed. he spatal dscretsaton s obtaned by the FVM cell centered type method. he numercal system s solved n explct way. he flux modelng has been deployed by VD WAF scheme wth a second order accuracy both n space and tme. he local Remann problem s solved by the HLLC method. Verfcaton of the model was carred out by comparson of model results and analytcal and numercal solutons. Comparson of these two set of results present a reasonable degree of smlarty. Fnally, the results of numercal model were compared wth avalable expermental data of dam- break test case. Keywords: Numercal models, Dam falure, Shallow water equatons, VD WAF method 1 INRODUCION In recent years free-surface flow models have been ncreasngly developed usng explct schemes. Because the result of numercal models behave better when used to smulate flows wth sharp gradent free surfaces, such as dam-break flows (Namn et al. 4). Several technques have been publshed n the lterature concernng the use of the fnte volume method to solve the shallow water equatons to model free surface flows. Shock capturng technques n the framework of fnte volume dscretsaton, especally Godunov type methods, have recently drawn more attentons. At least fve approxmate Remann solvers.e. Roe, FVS, Osher, HLL and HLLC can be found n the lterature, all of whch are based on the characterstcs theory (oro, 1). Zoppou and Roberts (3) examned explct conservatve schemes for the soluton of the one dmensonal homogeneous shallow water equatons. In the concluson, for the ease of mplementaton, effcency and robustness, the HLLC and Osher schemes have been recommended for frst-order schemes. Also n comprehensve study of Erduran et al. (), the performance of the approxmate Remann solvers has been evaluated accordng to fve crtera ncludng ease of mplementaton, accuracy, applcablty, smulaton tme and stablty. Fnally, HLL and HLLC method were determned as the hgh-ranked schemes n terms of ease of mplementaton. It was hghlghted that a frst-order accurate soluton algorthm usng ether Osher or HLLC schemes can be recommended for the smulaton of all knds of applcatons. here have been a number of studes, amed at developng numercal models to predct dambreak flows. Fraccarollo and oro (1995) utlzed a numercal model usng a shock-capturng method of Godunov type. hey used HLL method for modelng fluxes at the cell nterface and VD WAF method for achevng the second order accuracy. hey compared the numercal model wth ther experments of dam-break flow. Soares- Frazão and Zech () used numercal smulatons of the flow wth three Roe-type fnte volume schemes, ncludng 1D, D and the hybrd approaches. hey compared the results of numercal models wth ther expermental data for the dam break waves n a channel wth a 9 bend. Valan et al. () smulated the flood wave usng a Godunov-type method. In the model, the local Remann problem s solved by the HLL method. hey used the VD MUSCL technque n order to acheve second order accuracy n space and also tme. hey utlzed the model for smulatng Malpasset dam-break. Yu-chuan and Dong (7) smulated dam-break flows n curved boundares by the fnte-dfference method, n a 555
2 channel-ftted orthogonal curvlnear coordnate system. In ths paper, the HLLC approxmate Remann solver s selected for computng the fluxes n the nterface of the cells. In order to acheve secondorder accuracy, the Weghted Average Flux (WAF) method whch was ntroduced by oro (1989) s used. he followng part conssts of how to develop a two dmensonal fnte volume model. hen the model s verfed by dam-break wth a left dry bed and partal dam-break through a sluce gate. hen the model s appled for the dam-break n channel wth 9 bend (CADAM test). whch yelds by applcaton of the dvergence theorem: NUMERICAL MODEL.1 Governng equatons Under the assumpton of hydrostatc pressure, and neglectng the dffuson terms and Corols and wnd effects, the obtaned two-dmensonal model of depth averaged shallow water equatons appears as: U t F( U ) H ( U ) + + = S( U ) x y U = ( h, hu, hv) F ( U ) = ( hu, hu + gh /, huv) + H ( U ) = ( hv, huv, hv gh / ) S ( U ) = (, gh( S S ), gh( S S )) ox fx oy fy (1) where h = water depth, u, v = depth-averaged velocty components n the x and y drectons, g = acceleraton due to gravty, S ox, S oy = bed slopes n the x and y drectons, S f x, S f y = frcton terms n the x and y drectons, respectvely (Valan et al., ). S oy z, y S ox z () x n v u v n u u, 4/3 4/ v S fy S fx = (3) h h where n = Mannng s roughness coeffcent.. Dscretsaton he computatonal doman s dvded nto a set of quadrlateral fnte volumes. hen the governng equatons are ntegrated over each control volume, Fgure 1. Generc control volume and notatons U d S( U )dv (4) t V + G( U ) nds = v s v where G ( U ) = ( F, H ), n =the unt normal vector outward from control volume that s shown n Fgure 1. Equaton (4) can be rewrtten as: du ΔV dt m j= 1 G( U ) n j ds j + S ( U ) ΔV (5) where ΔV= the area of each control volume, m= the number of cell sdes, ds j =the length of sde j. he Rotatonal Invarance Property s utlzed between F and H over each sde (oro, 199): du ΔV dt m j= 1 1 nj F( nj U, nj U ) ds j j + S ( U ) ΔV (6) Consequently, n order to compute the fluxes n the cell nterface, the local one-dmensonal Remann problems are utlzed n the normal drectons of the cell sdes. Whch F( nj U, nj U j ) s resolved va an HLLC method. he numercal flux of HLLC, F +1/, evaluated as follows (oro et al., 1994): FL f SL F* L f SL S* F + 1/ = (7) F* R f S* SR FR f SR where S L, S * and S R are the speeds of the left, contact and rght waves, respectvely that s shown n Fgure, and F L =F(U L ), F R =F(U R ), U L and U R are the left and rght Remann states of a local cell nterface, respectvely, F *L and F *R are the numercal fluxes n the left and rght sdes of 556
3 the star regon of the Remann soluton whch s dvded by a contact wave (oro et al., 1994). Fgure Wave structure of HLLC Remann solver In order to acheve second-order accuracy, the WAF method was selected. he WAF scheme, as beng second-order accurate n space and tme, produces spurous oscllatons near steep gradents, and so needs VD stablzaton. Accordng to VD WAF scheme the flux at the cell nterface s calculated by the relaton (oro, 199): VD WAF 3 ( k) ( k ) + 1 / = 1/ ( F + F + 1) 1/ = sgn( C ) + Δ k 1 k A 1/ F + 1/ F (8) ( k ) ( k+ 1) ( k ) = F( U ), ΔF + 1/ = F + 1/ F + 1/, Ck = ( Δt / Δx Sk (9) ( k ) A + 1/ s a WAF flux lmter functon. F ) where here are varous choces for computng the lmter functon n the present model such as Superbee, Van Leer, Van Albada and Mnbee lmter functons (oro, 1). In modelng the bottom slope source terms, the numercal pontwse treatment of S o s not so dffcult f the bottom slope n the x and y drectons can be easly determned. However, generally the four vertces of each cell do not le on the same plane; therefore the slope of the cell s not trvally computable. o avod ths problem, the technque has been developed by Valan et al. () s used. he test has been desgned by oro (1). he computatonal doman s a channel 5 m long, unt wdth, frctonless and horzontal bed. he downstream secton of the dam s dry n ths test case. Let h L =, h R =1 m, u L = and u R =, depth and velocty n the left and rght sde of x =3 m whch s the poston of ntal dscontnuty. In Fgure, the model results and analytcal water surface profles are shown at t= 4 s. he soluton conssts of a sngle rght rarefacton wave, wth the wet/dry front attached to the tal of t. he propagaton of wet/dry front at the correct speed s one major dffculty of numercal methods. In a real applcaton n whch such fronts are to be propagated by several klometers, the propagaton speed and thus the predcted wave arrval tme wll suffer from consderable errors (oro, 1). he model result s shown n Fgure by the VD WAF scheme wth Superbee lmter functon. he model has a good agreement wth analytcal soluton especally n the begnnng of the rarefacton part that s ndcated by a crcle n Fgure. Most of the models wth the second order accuracy are more dffusve n ths part. h (x ) Exact x (m) Fgure 3. Dam-break problem wth left dry bed 3. Partal Dam-break through a sluce-gate he am of ths test case s to study the capacty of the present model to smulate the front wave propagaton over a dry bed. he spatal doman s a m flat regon (Fgure 4). 3 MODEL ESING 3.1 Dam break problem wth left dry bed Fgure 4. Partal dam-break layout (Loukl and Soulaïman, 7) he bottom s frctonless. he computatonal doman s a 4 4 square mesh. he upstream dscharge s zero. he ntal water levels are 1 m upstream and m n downstream. he asymmetrc breach s 75 m wde. here s no analytcal reference soluton for ths test case, but n the lterature numercal results of varous authors are avalable e.g. Mngham and Causon (1998), Loukl and Soulaïman (7). Fgures 5 and 6 show the re- 557
4 sults of present model for water surface and water depth contours. he duraton of the smulaton s 7. s. Fgure 7 shows the water depth contour of Loukl and Soulaïman (7). he present model result shows a good agreement wth the publshed results. the calculaton s taken equal to.11 s.m -1/3 (Prokof ev, ). Fgure 5. Results of present model for water depth contour Fgure 6. he results of present model for water surface 3.3 Dam-break n channel wth 9 bend hs test problem s the expermental case desgned by Soares-Frazão et al. (1998) for verfyng the capablty of numercal methods to smulate dam-break flows. he flow doman conssts of a square reservor and L-shaped channel as shown n Fgure 8. he bottom level of the channel s.33 m hgher than the bottom level of the reservor, whch means that there s a step at the entrance of the channel. Intally, the water depth was.53 m n the reservor whch s separated by a gate from the channel and then the gate s suddenly opened to produce a dam-break stuaton. he water depth n the channel was set to.1 m. akng nto account the effect of the bottom and the chute walls the average frcton coeffcent n Fgure 7. Results of Loukl and Soulaïman for water depth contour (Loukl and Soulaïman, 7) he varaton of water surface elevaton wth tme s compared wth the expermental data at the dfferent gauge postons as shown n Fgure 9. he comparson of results for gauge P1 s satsfactory as t shown n Fgure 9 (a). It shows that the numercal model computes the rght dscharge comng n to the channel. Fgure 9(b) shows the arrval of the frst shock travelng downstream of the reservor and the arrval of the second shock reflected from the channel bend. he agreement for the second shock s very good. However, there are dfferences at P3 and P4 for the arrval of second shock. At most gauge postons, there s good agreement between the present model results and the expermental data. he devaton between the model results and expermental data may be due to the local head loss caused by sudden change n flow geometry at the entrance to the channel and due to eddy losses, whch are not taken nto account n the numercal computatons. Fgure 8 Plane vew of Channel wth 9 bend (dmensons n cm) (Prokof ev, ) 558
5 Experment (a) P (b) P (c) P3 (d) P Experment WAF (superbee) Experment Experment Experment (f) P6 Fgure 9. Dam-break flows on wet bed at dfferent gauges It s reported some dscrepancy between the results of numercal models and the expermental data at the gauge statons P and P5 by prevous researchers such as Prokof ev (). However, the results of the present model at the mentoned statons are good agreement wth expermental data whch can be caused by good accuracy of VD WAF method as mentoned n secton CONCLUSIONS A two dmensonal fnte volume model has been developed based on shallow water equatons. In the current study the VD WAF method wth second order accuracy both n space and tme has been used for modelng fluxes at the nterface of the cells. Model verfcaton has been made by comparson of the model results wth analytcal and numercal solutons. Comparson of the two set of results represent a reasonable degree of smlarty. Fnally, the model was appled to one of CADAM test and the results of numercal model compared wth measurements. he results of present model ndcate that: - he model s applcable when the bed s dry. - he model has a good agreement n the begnnng of the rarefacton wave n 1-D dam break problem. - Comparson of the model results and expermental data n dfferent gauge statons n channel wth 9 bend shows that the model operates well n predctng the wave caused by dam-break..5. Experment REFERENCES h(m) (e) P t(s) Mngham, C.G., Causon, D.M Hgh-Resoluton Fnte Volume Method for Shallow Water Flows. Journal of Hydraulc Engneerng, 14(6), Erduran, K.S., Kutja, V., and Hewett, C. J. M.. Performance of Fnte Volume Solutons to the Shallow Water Equatons wth Shock-Capturng Schemes. Internatonal Journal for Numercal Methods n Fluds, 4,
6 Fraccarollo, L., oro, E.F Expermental and Numercal Assessment of the Shallow Water Model for wo Dmensonal Dam Break ype Problems. Journal of Hydraulc Research, 33(6), Loukl, Y., Soulaïman, A. 7. Numercal rackng of Shallow Water Waves by the Unstructured Fnte Volume WAF Approxmaton. Internatonal Journal for Computatonal Methods n Engneerng Scence and Mechancs, 8, Namn, M., Ln, B., Falconer, R.A. 4. Modelng Estuarne and Coastal Flows Usng an Unstructured rangular Fnte Volume Algorthm. Advances n Water Resources, 7, Prokof ev, V.A.. State-of-the-Art Numercal Schemes Based on the Control Volume Method for Modelng urbulent Flows and Dam-Break Waves. Power echnology and Engneerng, 36(4), Soares-Frazão, S., Sllen, X., Zech, Y Dam-break Flow through Sharp Bends Physcal Model and D Boltzmann Model Valdaton. Proceedng of the CA- DAM meetng, HR Wallngford, U.K. Soares-Frazão, S., Zech, Y.. Dam-Break n Channels wth 9 Bend. Journal of Hydraulc Engneerng, 18(11), oro, E. F A Weghted Average Flux Method for Hyperbolc Conservaton Laws. Proceedngs of the Royal Socety, London A43, oro, E. F Remann Problems and the WAF Method for Solvng the wo-dmensonal Shallow Water Equatons. Phlosophcal ransactons of the Royal Socety, London A338, oro, E.F., Spruce, M., Speares W Restoraton of the Contact Surface n the HLL Remann Solver. Shock Waves, 4, oro, E. F Remann Solvers and Numercal Methods for Flud Dynamcs. Sprnger-Verlag, Berln. oro, E.F. 1. Shock-Capturng Method for Free Surface Shallow Water Flows. J. Wley and Sons. Valan, A., Caleff, V., Zann, A.. Case study: Malpasset Dam-Break Smulaton Usng a wo-dmensonal Fnte Volume Method. Journal of Hydraulc Engneerng, 18(5), Yu-chuan, B., Dong, X. 7. Numercal Smulaton of wo-dmensonal Dam-Break Flows n Curved Channels. Journal of Hydrodynamcs, Ser. B, 19(6), Zoppou, C., Roberts, S. 3. Explct Schemes for Dam- Break Smulatons. Journal of Hydraulc Engneerng, 19(1),
NUMERICAL 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 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 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 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 informationAn 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 informationStorm Surge and Tsunami Simulator in Oceans and Coastal Areas
Proc. Int. Conf. on Montorng, Predcton and Mtgaton of Water-Related Dsasters, Dsaster Preventon Research Insttute, Kyoto Unv. (2005) Storm Surge and Tsunam Smulator n Oceans and Coastal Areas Taro Kaknuma
More informationNumerical investigation of free surface flood wave and solitary wave using incompressible SPH method
Journal of Hydraulc Structures J. Hydraul. Struct., 2016; 2(2):22-34 DOI: 10.22055/hs.2016.12849 Numercal nvestgaton of free surface flood wave and soltary wave usng ncompressble SPH method Mohammad Zounemat-Kerman
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 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 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 informationFRICTION SLOPE FORMULAE FOR THE TWO-DIMENSIONAL SHALLOW WATER MODEL
Annual Journal of Hydraulc Engneerng, JSCE, Vol.58, 2014, February FRICTION SLOPE FORMULAE FOR THE TWO-DIMENSIONAL SHALLOW WATER MODEL Hdekazu Yoshoka 1, Koch Unam 2 and Masayuk Fuhara 3 1 Member of JSCE,
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 informationNUMERICAL SIMULATION OF WATER ENTRY OF WEDGES BASED ON THE CIP METHOD
Journal of Marne Scence and Technology, Vol., No., pp. -5 (5) DOI:.69/JMST--6- NUMERICAL SIMULATION OF WATER ENTRY OF WEDGES BASED ON THE METHOD Zhao-Yu We,, He-ye Xao, Zh-dong Wang, and Xu-Hua Sh Key
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 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 informationJournal of Hydrology
Journal of Hydrology 59 (24) 23 32 Contents lsts avalable at ScenceDrect Journal of Hydrology journal homepage: www.elsever.com/locate/jhydrol Hgh resoluton numercal schemes for solvng knematc wave equaton
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 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 informationA HIGH-ORDER SPECTRAL (FINITE) VOLUME METHOD FOR CONSERVATION LAWS ON UNSTRUCTURED GRIDS
AIAA-00-058 A HIGH-ORDER SPECTRAL (FIITE) VOLUME METHOD FOR COSERVATIO LAWS O USTRUCTURED GRIDS Z.J. Wang Department of Mechancal Engneerng Mchgan State Unversty, East Lansng, MI 88 Yen Lu * MS T7B-, ASA
More informationCorner-Based Image Alignment using Pyramid Structure with Gradient Vector Similarity
Journal of Sgnal and Informaton Processng, 013, 4, 114-119 do:10.436/jsp.013.43b00 Publshed Onlne August 013 (http://www.scrp.org/journal/jsp) Corner-Based Image Algnment usng Pyramd Structure wth Gradent
More informationA high precision collaborative vision measurement of gear chamfering profile
Internatonal Conference on Advances n Mechancal Engneerng and Industral Informatcs (AMEII 05) A hgh precson collaboratve vson measurement of gear chamferng profle Conglng Zhou, a, Zengpu Xu, b, Chunmng
More informationNumerical Simulations of 3D Liquid Sloshing Flows by MPS Method
Proceedngs of the Eleventh (14) Pacfc/Asa Offshore Mechancs Symposum Shangha, Chna, October 1-16, 14 Copyrght 14 by The Internatonal Socety of Offshore and Polar Engneers ISBN 978 1 88653 9-6: ISSN 1946-4X
More informationA proposal for the motion analysis method of skiing turn by measurement of orientation and gliding trajectory
Avalable onlne at www.scencedrect.com Proceda Engneerng 13 (211) 17 22 5 th Asa-Pacfc Congress on Sports Technology (APCST) A proposal for the moton analyss method of skng turn by measurement of orentaton
More informationNumerical Investigation on 1D and 2D Embankment Dams Failure Due to Overtopping Flow
Internatonal Journal of Hydraulc Engneerng 2016, 5(1): 9-18 DOI: 10.5923/.he.20160501.02 Numercal Investgaton on 1D and 2D Embankment Dams Falure Due to Overtoppng Flow Omd Saber 1,*, Gerald Zenz 2 1 PhD
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 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 information3D numerical simulation of tsunami runup onto a complex beach
Proc. Int. Symp. on Fluval and Coastal Dsasters -Copng wth Extreme Events and Regonal Dversty-, Dsaster Preventon Research Insttute, Kyoto Unv. (2005), pp. 221-228 3D numercal smulaton of tsunam runup
More informationSimulation: Solving Dynamic Models ABE 5646 Week 11 Chapter 2, Spring 2010
Smulaton: Solvng Dynamc Models ABE 5646 Week Chapter 2, Sprng 200 Week Descrpton Readng Materal Mar 5- Mar 9 Evaluatng [Crop] Models Comparng a model wth data - Graphcal, errors - Measures of agreement
More informationSolving the Savage Hutter equations for granular avalanche flows with a second-order Godunov type method on GPU
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS Int. J. Numer. Meth. Fluds 015; 77:381 399 Publshed onlne 18 December 014 n Wley Onlne Lbrary (wleyonlnelbrary.com)..3988 Solvng the Savage Hutter
More informationPRACTICAL NUMERICAL SIMULATION METHOD FOR ESTIMATING LOCAL SCOURING AROUND A PIER ~ BOTTOM VELOCITY COMPUTATION METHOD BASED ON DEPTH INTEGRATED MODEL
PRACTICAL NUMERICAL SIMULATION METHOD FOR ESTIMATING LOCAL SCOURING AROUND A PIER ~ BOTTOM VELOCITY COMPUTATION METHOD BASED ON DEPTH INTEGRATED MODEL T. Uchda 1 and S. Fukuoka 1. Research and Development
More informationSixth-Order Difference Scheme for Sigma Coordinate Ocean Models
064 JOURNAL OF PHYSICAL OCEANOGRAPHY VOLUME 7 Sxth-Order Dfference Scheme for Sgma Coordnate Ocean Models PETER C. CHU AND CHENWU FAN Department of Oceanography, Naval Postgraduate School, Monterey, Calforna
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 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 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 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 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 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 informationSnakes-based approach for extraction of building roof contours from digital aerial images
Snakes-based approach for extracton of buldng roof contours from dgtal aeral mages Alur P. Dal Poz and Antono J. Fazan São Paulo State Unversty Dept. of Cartography, R. Roberto Smonsen 305 19060-900 Presdente
More informationThe Research of Ellipse Parameter Fitting Algorithm of Ultrasonic Imaging Logging in the Casing Hole
Appled Mathematcs, 04, 5, 37-3 Publshed Onlne May 04 n ScRes. http://www.scrp.org/journal/am http://dx.do.org/0.436/am.04.584 The Research of Ellpse Parameter Fttng Algorthm of Ultrasonc Imagng Loggng
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 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 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 informationDesign for Reliability: Case Studies in Manufacturing Process Synthesis
Desgn for Relablty: Case Studes n Manufacturng Process Synthess Y. Lawrence Yao*, and Chao Lu Department of Mechancal Engneerng, Columba Unversty, Mudd Bldg., MC 473, New York, NY 7, USA * Correspondng
More informationPHANTOM VORTICITY IN EULER SOLUTIONS ON HIGHLY STRETCHED GRIDS
ICAS 000 CONGRESS PHANTOM VORTICITY IN EULER SOLUTIONS ON HIGHLY STRETCHED GRIDS S. A. Prnce, D. K. Ludlow, N. Qn Cranfeld College of Aeronautcs, Bedfordshre, UK Currently DERA Bedford, UK Keywords: Phantom
More informationFinite Element Analysis of Rubber Sealing Ring Resilience Behavior Qu Jia 1,a, Chen Geng 1,b and Yang Yuwei 2,c
Advanced Materals Research Onlne: 03-06-3 ISSN: 66-8985, Vol. 705, pp 40-44 do:0.408/www.scentfc.net/amr.705.40 03 Trans Tech Publcatons, Swtzerland Fnte Element Analyss of Rubber Sealng Rng Reslence Behavor
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 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 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 informationComparing Sloshing Phenomena in a Rectangular Container with and without a Porous Medium Using Explicit Nonlinear 2-D BEM-FDM
Transacton B: Mechancal Engneerng Vol. 7, No., pp. 93{0 c Sharf Unversty of Technology, Aprl 00 Comparng Sloshng Phenomena n a Rectangular Contaner wth and wthout a Porous Medum Usng Explct Nonlnear -D
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 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 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 informationAn Image Fusion Approach Based on Segmentation Region
Rong Wang, L-Qun Gao, Shu Yang, Yu-Hua Cha, and Yan-Chun Lu An Image Fuson Approach Based On Segmentaton Regon An Image Fuson Approach Based on Segmentaton Regon Rong Wang, L-Qun Gao, Shu Yang 3, Yu-Hua
More informationAnalysis on the Workspace of Six-degrees-of-freedom Industrial Robot Based on AutoCAD
Analyss on the Workspace of Sx-degrees-of-freedom Industral Robot Based on AutoCAD Jn-quan L 1, Ru Zhang 1,a, Fang Cu 1, Q Guan 1 and Yang Zhang 1 1 School of Automaton, Bejng Unversty of Posts and Telecommuncatons,
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 informationVirtual Machine Migration based on Trust Measurement of Computer Node
Appled Mechancs and Materals Onlne: 2014-04-04 ISSN: 1662-7482, Vols. 536-537, pp 678-682 do:10.4028/www.scentfc.net/amm.536-537.678 2014 Trans Tech Publcatons, Swtzerland Vrtual Machne Mgraton based 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 informationFlow over Broad Crested Weirs: Comparison of 2D and 3D Models
Journal of Cvl Engneerng and Archtecture 11 (2017) 769-779 do: 10.17265/1934-7359/2017.08.005 D DAVID PUBLISHING Flow over Broad Crested Wers: Comparson of 2D and 3D Models Shaymaa A. M. Al-Hashm 1, Huda
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 informationStructured Grid Generation Via Constraint on Displacement of Internal Nodes
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
More informationStructural Optimization Using OPTIMIZER Program
SprngerLnk - Book Chapter http://www.sprngerlnk.com/content/m28478j4372qh274/?prnt=true ق.ظ 1 of 2 2009/03/12 11:30 Book Chapter large verson Structural Optmzaton Usng OPTIMIZER Program Book III European
More informationCOMPARISON OF TWO MODELS FOR HUMAN EVACUATING SIMULATION IN LARGE BUILDING SPACES. University, Beijing , China
COMPARISON OF TWO MODELS FOR HUMAN EVACUATING SIMULATION IN LARGE BUILDING SPACES Bn Zhao 1, 2, He Xao 1, Yue Wang 1, Yuebao Wang 1 1 Department of Buldng Scence and Technology, Tsnghua Unversty, Bejng
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 informationAnalysis of Continuous Beams in General
Analyss of Contnuous Beams n General Contnuous beams consdered here are prsmatc, rgdly connected to each beam segment and supported at varous ponts along the beam. onts are selected at ponts of support,
More informationStudy on Fuzzy Models of Wind Turbine Power Curve
Proceedngs of the 006 IASME/WSEAS Internatonal Conference on Energy & Envronmental Systems, Chalkda, Greece, May 8-0, 006 (pp-7) Study on Fuzzy Models of Wnd Turbne Power Curve SHU-CHEN WANG PEI-HWA HUANG
More informationComparison of Heuristics for Scheduling Independent Tasks on Heterogeneous Distributed Environments
Comparson of Heurstcs for Schedulng Independent Tasks on Heterogeneous Dstrbuted Envronments Hesam Izakan¹, Ath Abraham², Senor Member, IEEE, Václav Snášel³ ¹ Islamc Azad Unversty, Ramsar Branch, Ramsar,
More informationMulti-scale simulation with a hybrid Boussinesq-RANS hydrodynamic model
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS Int. J. Numer. Meth. Fluds (2009) Publshed onlne n Wley InterScence (www.nterscence.wley.com)..2056 Mult-scale smulaton wth a hybrd Boussnesq-RANS
More informationPerformance Evaluation of an ANFIS Based Power System Stabilizer Applied in Multi-Machine Power Systems
Performance Evaluaton of an ANFIS Based Power System Stablzer Appled n Mult-Machne Power Systems A. A GHARAVEISI 1,2 A.DARABI 3 M. MONADI 4 A. KHAJEH-ZADEH 5 M. RASHIDI-NEJAD 1,2,5 1. Shahd Bahonar Unversty
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 informationDynamic wetting property investigation of AFM tips in micro/nanoscale
Dynamc wettng property nvestgaton of AFM tps n mcro/nanoscale The wettng propertes of AFM probe tps are of concern n AFM tp related force measurement, fabrcaton, and manpulaton technques, such as dp-pen
More informationBioTechnology. An Indian Journal FULL PAPER. Trade Science Inc.
[Type text] [Type text] [Type text] ISSN : 0974-74 Volume 0 Issue BoTechnology 04 An Indan Journal FULL PAPER BTAIJ 0() 04 [684-689] Revew on Chna s sports ndustry fnancng market based on market -orented
More informationThe motion simulation of three-dof parallel manipulator based on VBAI and MATLAB Zhuo Zhen, Chaoying Liu* and Xueling Song
Internatonal Conference on Automaton, Mechancal Control and Computatonal Engneerng (AMCCE 25) he moton smulaton of three-dof parallel manpulator based on VBAI and MALAB Zhuo Zhen, Chaoyng Lu* and Xuelng
More informationDomain decomposition in shallow-water modelling for practical flow applications
Doman decomposton n shallow-water modellng for practcal flow applcatons Mart Borsboom 1, Menno Genseberger 1, Bas van t Hof 2, and Edwn Spee 1 1 Introducton For the smulaton of flows n rvers, lakes, and
More informationA Background Subtraction for a Vision-based User Interface *
A Background Subtracton for a Vson-based User Interface * Dongpyo Hong and Woontack Woo KJIST U-VR Lab. {dhon wwoo}@kjst.ac.kr Abstract In ths paper, we propose a robust and effcent background subtracton
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 informationDesign of Structure Optimization with APDL
Desgn of Structure Optmzaton wth APDL Yanyun School of Cvl Engneerng and Archtecture, East Chna Jaotong Unversty Nanchang 330013 Chna Abstract In ths paper, the desgn process of structure optmzaton wth
More informationApplication of Improved Fish Swarm Algorithm in Cloud Computing Resource Scheduling
, pp.40-45 http://dx.do.org/10.14257/astl.2017.143.08 Applcaton of Improved Fsh Swarm Algorthm n Cloud Computng Resource Schedulng Yu Lu, Fangtao Lu School of Informaton Engneerng, Chongqng Vocatonal Insttute
More information(This is a sample cover image for this issue. The actual cover is not yet available at this time.)
(Ths s a sample cover mage for ths ssue. The actual cover s not yet avalable at ths tme.) Ths artcle appeared n a journal publshed by Elsever. The attached copy s furnshed to the author for nternal non-commercal
More informationVISCOELASTIC SIMULATION OF BI-LAYER COEXTRUSION IN A SQUARE DIE: AN ANALYSIS OF VISCOUS ENCAPSULATION
VISCOELASTIC SIMULATION OF BI-LAYER COEXTRUSION IN A SQUARE DIE: AN ANALYSIS OF VISCOUS ENCAPSULATION Mahesh Gupta Mchgan Technologcal Unversty Plastc Flow, LLC Houghton, MI 49931 Hancock, MI 49930 Abstract
More informationHelsinki University Of Technology, Systems Analysis Laboratory Mat Independent research projects in applied mathematics (3 cr)
Helsnk Unversty Of Technology, Systems Analyss Laboratory Mat-2.08 Independent research projects n appled mathematcs (3 cr) "! #$&% Antt Laukkanen 506 R ajlaukka@cc.hut.f 2 Introducton...3 2 Multattrbute
More informationQuerying by sketch geographical databases. Yu Han 1, a *
4th Internatonal Conference on Sensors, Measurement and Intellgent Materals (ICSMIM 2015) Queryng by sketch geographcal databases Yu Han 1, a * 1 Department of Basc Courses, Shenyang Insttute of Artllery,
More informationOptimal Design of Nonlinear Fuzzy Model by Means of Independent Fuzzy Scatter Partition
Optmal Desgn of onlnear Fuzzy Model by Means of Independent Fuzzy Scatter Partton Keon-Jun Park, Hyung-Kl Kang and Yong-Kab Km *, Department of Informaton and Communcaton Engneerng, Wonkwang Unversty,
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 informationThe Performance of Geothermal Field Modeling in Distributed Component Environment
Porows A., Peta A., Kowal A., Dane T.: The Performance of Geothermal Feld Modelng n Dstrbuted Component Envronment. In: Innovatons n Computng Scences and Software Engneerng, Sprnger,, pp 79-83. 79 Ths
More informationDYNAMIC THERMAL BUILDING ANALYSIS WITH CFD MODELLING RADIATION
Proceedngs: Buldng Smulaton 2007 DYNAMIC THERMAL BUILDING ANALYSIS WITH CFD MODELLING RADIATION Ztzmann T. 1, Pfrommer P. 1, Cook M.J. 2 1 Unversty of Apples Scences Coburg, Germany 2 Insttute of Energy
More informationCell Count Method on a Network with SANET
CSIS Dscusson Paper No.59 Cell Count Method on a Network wth SANET Atsuyuk Okabe* and Shno Shode** Center for Spatal Informaton Scence, Unversty of Tokyo 7-3-1, Hongo, Bunkyo-ku, Tokyo 113-8656, Japan
More informationPositivity-Preserving Well-Balanced Discontinuous Galerkin Methods for the Shallow Water Equations on Unstructured Triangular Meshes
Postvty-Preservng Well-Balanced Dscontnuous Galerkn Methods for the Shallow Water Equatons on Unstructured Trangular Meshes The MIT Faculty has made ths artcle openly avalable. Please share how ths access
More informationSecond-Order Accurate Godunov Scheme for Multicomponent Flows on Moving Triangular Meshes
J Sc Comput (2008) 34: 64 86 DOI 10.1007/s10915-007-9162-8 Second-Order Accurate Godunov Scheme for Multcomponent Flows on Movng Trangular Meshes Guoxan Chen Huazhong Tang Pngwen Zhang Receved: 2 November
More informationSURFACE PROFILE EVALUATION BY FRACTAL DIMENSION AND STATISTIC TOOLS USING MATLAB
SURFACE PROFILE EVALUATION BY FRACTAL DIMENSION AND STATISTIC TOOLS USING MATLAB V. Hotař, A. Hotař Techncal Unversty of Lberec, Department of Glass Producng Machnes and Robotcs, Department of Materal
More informationThree dimensional CFD simulations with large displacement of the geometries using a connectivity change moving mesh approach
Engneerng wth Computers (2019) 35:397 422 https://do.org/10.1007/s00366-018-0607-5 ORIGINAL ARTICLE Three dmensonal CFD smulatons wth large dsplacement of the geometres usng a connectvty change movng mesh
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 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 informationTHE PATH PLANNING ALGORITHM AND SIMULATION FOR MOBILE ROBOT
Journal of Theoretcal and Appled Informaton Technology 30 th Aprl 013. Vol. 50 No.3 005-013 JATIT & LLS. All rghts reserved. ISSN: 199-8645 www.jatt.org E-ISSN: 1817-3195 THE PATH PLANNING ALGORITHM AND
More informationVISUAL SELECTION OF SURFACE FEATURES DURING THEIR GEOMETRIC SIMULATION WITH THE HELP OF COMPUTER TECHNOLOGIES
UbCC 2011, Volume 6, 5002981-x manuscrpts OPEN ACCES UbCC Journal ISSN 1992-8424 www.ubcc.org VISUAL SELECTION OF SURFACE FEATURES DURING THEIR GEOMETRIC SIMULATION WITH THE HELP OF COMPUTER TECHNOLOGIES
More informationChapter 9. Model Calibration. John Hourdakis Center for Transportation Studies, U of Mn
Chapter 9 Model Calbraton John Hourdaks Center for Transportaton Studes, U of Mn Hourd00@tc.umn.edu Why Calbrate? Computers Cannot Magcally Replcate Realty! Smulaton Models Are Desgned to be General Drver
More informationApplication of Residual Distribution (RD) schemes to the geographical part of the Wave Action Equation
Applcaton of Resdual Dstrbuton (RD) schemes to the geographcal part of the Wave Acton Equaton Aron Roland Insttute for Hydraulc and Water Resources Engneerng, Technsche Unverstät Darmstadt, Germany Abstract
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 informationDistance Calculation from Single Optical Image
17 Internatonal Conference on Mathematcs, Modellng and Smulaton Technologes and Applcatons (MMSTA 17) ISBN: 978-1-6595-53-8 Dstance Calculaton from Sngle Optcal Image Xao-yng DUAN 1,, Yang-je WEI 1,,*
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 informationCOMBINED VERTEX-BASED CELL-CENTRED FINITE VOLUME METHOD FOR FLOWS IN COMPLEX GEOMETRIES
Thrd Internatonal Conference on CFD n the Mnerals and Process Industres CSIRO, Melbourne, Australa 1-1 December 3 COMBINED VERTEX-BASED CELL-CENTRED FINITE VOLUME METHOD FOR FLOWS IN COMPLEX GEOMETRIES
More information