Step 1: Problem Type Specification. (1) Open COMSOL Multiphysics 4.1. (2) Under Select Space Dimension tab, select 2D Axisymmetric.
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1 Step 1: Problem Type Specification (1) Open COMSOL Multiphysics 4.1. (2) Under Select Space Dimension tab, select 2D Axisymmetric. (3) Click on blue arrow next to Select Space Dimension title. (4) Click left of Chemical Species Transport to expand the option. (5) Click on Transport of Diluted Species (chds). (6) Click on blue arrow next to Add Physics title. (7) Click on Save icon. Save often to prevent losing your work. (8) Click on Time Dependent. (9) Click on the race flag icon.
2 Step 2: Geometry Creation (1) Right click on Geometry 1. (2) Select Rectangle. (3) Repeat (1) & (2) four more times. (4) Create five rectangles based on the following specifications: Width Height r z E Note that the dimension values in the table are in cm. COMSOL assumes the units in the SI system and displays accordingly, which is wrong in this case. Therefore, we will keep track of the units manually throughout the problem. (5) Click on Build All icon. (6) Click on Zoom Extents icon.
3 Step 3: Meshing (1) Right click on Mesh 1. (2) Select Mapped. (3) Right click on Mapped 1. (4) Select Distribution. (5) Repeat (3) & (4) five more times. You should then see Distribution 1 to 6 listed under Mapped 1 tab. (6) Select Distribution 1 and left right, right click on the boundaries 1 & 12. (7) Enter 40 in the Number of elements. (8) Click on Build All icon. (9) Similarly, for Distributions 2-6, repeat steps (6)- (8) by selecting and entering appropriate boundaries and number of elements (refer to the values given in the table right below). You will need to zoom in on the geometry in order to locate some of these boundaries. Distribution Boundaries Number of edge elements 1 1, , 4, 6, 8, 10, , , , , 16 20
4 Step 4: Governing equations, source terms, I.C., B.C. diffusion Subdomain settings Diffusion coefficient (1) Click on Transport of Diluted Species (chds). (2) Deselect Convection. (3) Right click on Transport of Diluted Species (chds). (4) Select Diffusion. (5) Repeat (3) & (4) three more times. In the end, you should be 5 Diffusions tabs in total under the Transport of Diluted Species chds tab. ( Diffusion, Diffusion 1, Diffusion 2, Diffusion 3, Diffusion 4 ) (6) Click on Diffusion 1 and add subdomain 2 by left clicking, then right clicking on it. (7) Enter 8.72e-9 (m 2 /s) for the diffusion coefficient (isotropic) value. (8) Similarly for Diffusion 2-4, add subdomains 3-5 (respectively) and enter the corresponding diffusion coefficient values provided in the table below. Tab name subdomain D (m 2 /s) Diffusion 1 5e-5 Diffusion e-9 Diffusion e-7 Diffusion 3 4 5e-5 Diffusion e-9 (9) Go to Transport of Diluted Species (chds) > Diffusion and enter 5e-5 (m 2 /s) for the diffusion coefficient value. This Diffusion tab, which had been set up automatically by COMSOL, should now be only selected with subdomain 1 because after steps (6)-(8), other subdomains have been overridden.
5 Source term (10)Right click on Transport of Diluted Species (chds). (11)Select Reaction. (12)Repeat (9) & (10) four more times. In the end, you should be 5 Reactions tab in total. ( Reactions 1-5 ) (13)Select Reactions 1 and add subdomain 1 by left clicking then right clicking on it. (14)Enter -1e-4*c for Rc (mol/m 3 s). Similarly for other subdomains, enter the following values. Initial Condition (15) Right click on Transport of Diluted Species (chds). (16) Select Initial Values. (17) Click on Initial Values 2. (18) Left click, then right click on domain 5. (19) Enter 46.5 (mol/m 3 ) for initial concentration Tab name subdomain Rc (mol/m 3 s) Reactions 1 1-1e-4*c Reactions Reactions Reactions *c Reactions Boundary settings All boundaries have zero species flux, either due to symmetry (left boundaries) or insulation (right boundaries), or are considered to be semi-infinite (bottom boundary). Since the default boundary condition of the solver if zero flux, we retain the default settings.
6 Step 6: Solver setting and solution (1) Click left of Study 1 to expand the option. (2) Select Step 1: Time Dependent. (3) Enter range (0,100,72000). (4) Right click on Study 1. (5) Select Compute.
7 Step 7: Postprocessing To generate the plot of drug lost from the lens and absorbed in the aqueous humor as functions of time: (1) Right click on Data Sets. (2) Select Evaluation > Integral. (3) Repeat (1) & (2). (4) Right click on Integral 1. (5) Select Add Selection. (6) Repeat (4) & (5) for Integral 2. (7) Click on Integral 1 > Selection. Change the geometric entity level to Domain and select subdomain 1 by left clicking, then right clicking on it. (8) Click on Integral 2 > Selection. Change the geometric entity level to Domain and select subdomain 5 by left clicking, then right clicking on it. (9) Right click on Results. (10)Select 1D Plot Group.
8 (11)Repeat (9) & 10). (12)Right click on 1D Plot Group 2. (13)Select Global. (14)Repeat (12) & (13) for 1D Plot Group 3. (15)Click on 1D Plot Group 2 > Global 1 and select Integral 1 from the Data set drop-down menu. (16)Click on the first row of the Expressions table. (17)Click on the Expression edit field below the table and enter the expression: 2*pi*r*c (18)Click Plot icon. (19)Click on 1D Plot Group 3 > Global 1 and select Integral 2 from the Data set drop-down menu. (20)Click on the first row of the Expression table. (21)Click on the Expression edit field below the table and and enter the expression: 2*pi*r*c (22)Click Plot icon.
9 This generates the following two figures. To generate a plot of concentration of the drug on the surface of the lens as a function of time: (1) Right click on Data Sets. (2) Select Cut Point 2D. (3) Enter 0 (m) for r and (m) for z. (4) Right click on Results. (5) Select 1D Plot Group. (6) Right click on 1D Plot Group 4. (7) Select Point Graph. (8) Select Cut Point 2D 1 under Data set dropdown menu. (9) Click Plot icon. This generates the following figure.
10 Step 8: Saving an image To save the image currently being displayed: (1) Click on the snap shot icon. (2) Under Output >> Target, select File. (3) Select JPEG. (4) Click Browse (5) Enter the file name (6) Click Save. (7) Click OK.
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v. 10.3 GMS 10.3 Tutorial Using MT3DMS with a conceptual model Objectives Learn how to use a conceptual model when using MT3DMS. Perform two transport simulations, analyzing the long-term potential for