{"id":38,"date":"2016-12-30T21:42:50","date_gmt":"2016-12-31T04:42:50","guid":{"rendered":"https:\/\/blogs.ubc.ca\/alivakil\/?page_id=38"},"modified":"2020-09-30T22:52:20","modified_gmt":"2020-10-01T05:52:20","slug":"mech-479-notes","status":"publish","type":"page","link":"https:\/\/blogs.ubc.ca\/alivakil\/teaching\/mech-479-computational-fluid-dynamics\/mech-479-notes\/","title":{"rendered":"MECH 479 Notes"},"content":{"rendered":"<div style=\"font-size: 18px;\">\n<p><span style=\"color: #000000;\"> 1.1 Review of Calculus:<\/span> <span style=\"color: #0000ff;\">Click here\u00a0<\/span><\/p>\n<p><span style=\"color: #000000;\">1.2 Review of Fourier Series:<\/span> <span style=\"color: #0000ff;\">Click here\u00a0<\/span><\/p>\n<p><span style=\"color: #000000;\">1.3 Review of Probability:<\/span> <span style=\"color: #0000ff;\">Click here\u00a0<\/span><\/p>\n<p><span style=\"color: #000000;\">1.4 Review of Governing Equations: <\/span> <span style=\"color: #0000ff;\">Click here\u00a0<\/span><\/p>\n<p><span style=\"color: #000000;\">1.5 Review of Governing Equations (2013): <\/span> <span style=\"color: #0000ff;\">Click here<\/span><\/p>\n<p><span style=\"color: #000000;\">1.6. Non-Newtonian Fluids:\u00a0 <\/span> <span style=\"color: #0000ff;\">Click here\u00a0<\/span><\/p>\n<p><span style=\"color: #000000;\">2. Notes on PDEs: <\/span> <span style=\"color: #0000ff;\">Click here\u00a0<\/span><\/p>\n<p><span style=\"color: #000000;\">3. Notes on Numerical Differentiation (BVPs) <\/span> <span style=\"color: #0000ff;\">Click here<\/span><span style=\"color: #000000;\">\u00a0<\/span><\/p>\n<p><span style=\"color: #000000;\">4. Notes on Numerical Integration (IVPs) <\/span> <span style=\"color: #0000ff;\">Click here<\/span><span style=\"color: #000000;\">\u00a0<\/span><\/p>\n<p><span style=\"color: #000000;\">5. Notes on Finite Volume: <\/span> <span style=\"color: #0000ff;\">Click here \u00a0<\/span><\/p>\n<p><span style=\"color: #000000;\">6. Notes on Finite Element: <\/span> <span style=\"color: #0000ff;\">Click here\u00a0<\/span><\/p>\n<p><span style=\"color: #000000;\">7. Notes on Heat Equation: <\/span> <span style=\"color: #0000ff;\">Click here \u00a0<\/span><\/p>\n<p><span style=\"color: #000000;\">8. Notes on Advection Equation (2018)<\/span>: <span style=\"color: #0000ff;\">Click here<\/span><\/p>\n<p><span style=\"color: #000000;\">8.1 Notes on Wave Equation<\/span>: <span style=\"color: #0000ff;\">Click here<\/span><\/p>\n<p><span style=\"color: #000000;\">9. Notes on Advection Diffusion Equation (2018):<\/span> <span style=\"color: #0000ff;\">Click here<\/span><\/p>\n<p><span style=\"color: #000000;\">9.1 Notes on Steady Advection Diffusion: <\/span> <span style=\"color: #0000ff;\">Click here\u00a0<\/span><\/p>\n<p><span style=\"color: #000000;\">9.2 Notes on Unsteady Advection Diffusion: <\/span> <span style=\"color: #0000ff;\">Click here\u00a0<\/span><\/p>\n<p><span style=\"color: #000000;\">10. Notes on Navier-Stokes Equation:<\/span> <span style=\"color: #0000ff;\">Click here<br \/>\n<\/span><\/p>\n<p><span style=\"color: #000000;\">11.1 Notes on Turbulence: <\/span> <span style=\"color: #0000ff;\">Click here \u00a0<\/span><\/p>\n<p><span style=\"color: #000000;\">11.2 Notes on Random Processes: <\/span> <span style=\"color: #0000ff;\">Click here\u00a0<\/span><\/p>\n<p><span style=\"color: #000000;\">11.3 Notes on Turbulence Modeling: <\/span> <span style=\"color: #0000ff;\"><span style=\"color: #0000ff;\">Click here<\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><br \/>\n<b><span style=\"font-size: x-large;\">MECH 479: Tutorials<\/span><\/b><\/span><\/p>\n<p><span style=\"color: #000000;\">1. Laplace&#8217;s Equation in Rectangular Coordinate:<\/span> <span style=\"color: #0000ff;\">Click here<\/span><\/p>\n<p><span style=\"color: #000000;\">1.1 MATLAB file: Click here<br \/>\n<\/span><\/p>\n<p><span style=\"color: #000000;\">1.2 Structured Mesh: Coarse\u00a0 Medium\u00a0 Fine<\/span><\/p>\n<p><span style=\"color: #000000;\">1.3 Unstructured Mesh: Coarse\u00a0 Medium Fine<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"color: #000000;\">2.1 MATLAB file: Click here<\/span><\/p>\n<p><span style=\"color: #000000;\">2.2 2D Heat Equation: Click here<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"color: #000000;\">3.1 Cylinder mesh2 mesh3 mesh4 mesh5 mesh6<\/span><\/p>\n<p><span style=\"color: #000000;\">3.2 MATLAB file: Click here<\/span><\/p>\n<p><span style=\"color: #000000;\">3.3. Flow around a cylinder in steady current: Click here<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"color: #000000;\">4.1. Airfoil mesh : Click here<\/span><\/p>\n<p><span style=\"color: #000000;\">Validation :\u00a0 Exp_F1_Cf, Exp_F2_Cf, Exp_F2_Cp<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"color: #000000;\">5.1. FLUENT Volume of Fluid (VOF) Model:<\/span><\/p>\n<p><span style=\"color: #000000;\">http:\/\/aerojet.engr.ucdavis.edu\/fluenthelp\/html\/ug\/node882.htm<\/span><\/p>\n<p><span style=\"color: #000000;\">Coarse Mesh (dx=0.1), Medium Mesh (dx-0.05), Fine Mesh (dx=0.025)<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"color: #000000;\">6.1. Dam-Break Revisions:<\/span><\/p>\n<p><span style=\"color: #000000;\">Revision.1\u00a0\u00a0\u00a0\u00a0 Revision.2\u00a0\u00a0 Revision.3<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"color: #000000;\"><b><span style=\"font-size: x-large;\">\u00a0ANSYS Workbench Tutorial<\/span><\/b><\/span><\/p>\n<p><span style=\"color: #000000;\">ANSYS Workbench Tutorial: Click here<\/span><\/p>\n<p><span style=\"color: #000000;\">Airfoil XY-Coordinate: Click here<\/span><\/p>\n<p><span style=\"color: #000000;\">Airfoil Mesh: Click here<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"color: #000000;\"><b><span style=\"font-size: x-large;\">\u00a0Projects<\/span><\/b><\/span><\/p>\n<p><span style=\"color: #000000;\">1. Airfoil.1\u00a0\u00a0 XY-Coordinate, mesh\u00a0 {NACA_M8}<\/span><\/p>\n<p><span style=\"color: #000000;\">2. Airfoil.2\u00a0\u00a0 XY-Coordinate, mesh\u00a0 {FX72_LS_160}<\/span><\/p>\n<p><span style=\"color: #000000;\">3. Airfoil.3\u00a0\u00a0 XY-Coordinate, mesh\u00a0 {EPPLER 420}<\/span><\/p>\n<p><span style=\"color: #000000;\">4. Airfoil.4\u00a0\u00a0 XY-Coordinate, mesh\u00a0 {WORTMANN FX72-MS-150B}<\/span><\/p>\n<p><span style=\"color: #000000;\">5. Airfoil.5\u00a0\u00a0 XY-Coordinate, mesh\u00a0 {5FX74-CL5-140}<\/span><\/p>\n<p><span style=\"color: #000000;\">6. Airfoil.6\u00a0\u00a0 XY-Coordinate, mesh\u00a0 {E423}<\/span><\/p>\n<p><span style=\"color: #000000;\">7. Airfoil.7\u00a0\u00a0 XY-Coordinate, mesh\u00a0 {JN-153}<\/span><\/p>\n<p><span style=\"color: #000000;\">8. Airfoil.8\u00a0\u00a0 XY-Coordinate, mesh\u00a0 {S1223-RTL}<\/span><\/p>\n<p><span style=\"color: #000000;\">9. Airfoil.9\u00a0\u00a0 XY-Coordinate, mesh\u00a0 {DEFIANT-CANARD-BL20}<\/span><\/p>\n<p><span style=\"color: #000000;\">10. Airfoil.10 XY-Coordinate, mesh\u00a0 {CLARK-YM-18}<\/span><\/p>\n<p><span style=\"color: #000000;\">11. Airfoil.11 XY-Coordinate, mesh\u00a0 {AG37}<\/span><\/p>\n<p><span style=\"color: #000000;\">12. Airfoil.12 XY-Coordinate, mesh\u00a0 {ONERA-OA206}<\/span><\/p>\n<p><span style=\"color: #000000;\">13. Airfoil.13 XY-Coordinate, mesh\u00a0 {NASA-SC-2-0406}<\/span><\/p>\n<p><span style=\"color: #000000;\">14. Airfoil.14 XY-Coordinate, mesh\u00a0 {BOEING-VERTOL-VR-9}<\/span><\/p>\n<p><span style=\"color: #000000;\">15. Airfoil.15 XY-Coordinate, mesh\u00a0 {Ornithopter}<\/span><\/p>\n<p><span style=\"color: #000000;\">16. Airfoil.16 XY-Coordinate, mesh\u00a0 {EPPLER-397}<\/span><\/p>\n<p><span style=\"color: #000000;\">17. Airfoil.17 XY-Coordinate, mesh\u00a0 {ONERA-NACA-CAMBRE}<\/span><\/p>\n<p><span style=\"color: #000000;\">18. Airfoil.18 XY-Coordinate, mesh\u00a0 {NPL-9660}<\/span><\/p>\n<p><span style=\"color: #000000;\">19. Airfoil.19 XY-Coordinate, mesh\u00a0 {HQ-1012}<\/span><\/p>\n<p><span style=\"color: #000000;\">20. Airfoil.20 XY-Coordinate, mesh\u00a0 {PT40}<\/span><\/p>\n<p><span style=\"color: #000000;\">21. Airfoil.21 XY-Coordinate, mesh\u00a0 {PSU-90-125WL}<\/span><\/p>\n<p><span style=\"color: #000000;\">22. Airfoil.22 XY-Coordinate, mesh\u00a0 {MH-200-1297}<\/span><\/p>\n<p><span style=\"color: #000000;\">23. Airfoil.23 XY-Coordinate, mesh\u00a0 {EPPLER-331}<\/span><\/p>\n<p><span style=\"color: #000000;\">24. Airfoil.24 XY-Coordinate, mesh\u00a0 {RONCZ-1046-VOYACER-CANARD}<\/span><\/p>\n<p><span style=\"color: #000000;\">25. Airfoil.25 XY-Coordinate, mesh\u00a0 {AH-93-K-13015}<\/span><\/p>\n<p><span style=\"color: #000000;\">26. Airfoil.26 XY-Coordinate, mesh\u00a0 {AH-63-K-12724}<\/span><\/p>\n<p><span style=\"color: #000000;\">27. Airfoil.27 XY-Coordinate, mesh\u00a0 {S8035-RC-Aerobatic}<\/span><\/p>\n<p><span style=\"color: #000000;\">28. Airfoil.28 XY-Coordinate, mesh\u00a0 {S1210-12}<\/span><\/p>\n<p><span style=\"color: #000000;\">29. Airfoil.29 XY-Coordinate, mesh\u00a0 {USNPS4}<\/span><\/p>\n<p><span style=\"color: #000000;\">30. Airfoil.30 XY-Coordinate, mesh\u00a0 {SPICA-11-73}<\/span><\/p>\n<p><span style=\"color: #000000;\">31. Airfoil.31 XY-Coordinate, mesh\u00a0 {MH-114-13-02}<\/span><\/p>\n<p><span style=\"color: #000000;\">32. Airfoil.32 XY-Coordinate, mesh\u00a0\u00a0{DAE-11}<br \/>\n<\/span><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>1.1 Review of Calculus: Click here\u00a0 1.2 Review of Fourier Series: Click here\u00a0 1.3 Review of Probability: Click here\u00a0 1.4 Review of Governing Equations: Click here\u00a0 1.5 Review of Governing Equations (2013): Click here 1.6. Non-Newtonian Fluids:\u00a0 Click here\u00a0 2. Notes on PDEs: Click here\u00a0 3. Notes on Numerical Differentiation (BVPs) Click here\u00a0 4. Notes [&hellip;]<\/p>\n","protected":false},"author":42447,"featured_media":0,"parent":25,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-38","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blogs.ubc.ca\/alivakil\/wp-json\/wp\/v2\/pages\/38","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ubc.ca\/alivakil\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.ubc.ca\/alivakil\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ubc.ca\/alivakil\/wp-json\/wp\/v2\/users\/42447"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ubc.ca\/alivakil\/wp-json\/wp\/v2\/comments?post=38"}],"version-history":[{"count":40,"href":"https:\/\/blogs.ubc.ca\/alivakil\/wp-json\/wp\/v2\/pages\/38\/revisions"}],"predecessor-version":[{"id":688,"href":"https:\/\/blogs.ubc.ca\/alivakil\/wp-json\/wp\/v2\/pages\/38\/revisions\/688"}],"up":[{"embeddable":true,"href":"https:\/\/blogs.ubc.ca\/alivakil\/wp-json\/wp\/v2\/pages\/25"}],"wp:attachment":[{"href":"https:\/\/blogs.ubc.ca\/alivakil\/wp-json\/wp\/v2\/media?parent=38"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}