Computational Fluid Dynamics

Computational Fluid Dynamics

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Mod-07 Lec-40 Need for special methods for dealing with irregular fl ow geometry

40 of 47

40 of 47

Mod-07 Lec-40 Need for special methods for dealing with irregular fl ow geometry

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Computational Fluid Dynamics

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  1. 1 Mod-01 Lec-01 Motivation for CFD and Introduction to the CFD approach
  2. 2 Mod-01 Lec-02 Illustration of the CFD approach through a worked out example
  3. 3 Mod-02 Lec-03 Eulerian approach, Conservation Equation, Derivation of Mass Conservation Equation
  4. 4 Mod-02 Lec-04 Eulerian approach, Conservation Equation, Derivation of Mass Conservation Equation
  5. 5 Mod-02 Lec-05 Forces acting on a control volume; Stress tensor;
  6. 6 Mod-02 Lec-06 Kinematics of deformation in fluid flow; Stress vs strain rate relation
  7. 7 Mod-02 Lec-07 Equations governing flow of incompressible flow;
  8. 8 Mod-03 Lec-08 Cut out the first 30s; Spatial discretization of a simple flow domain;
  9. 9 Mod-03 Lec-09 Finite difference approximation of pth order of accuracy for qth order derivative;
  10. 10 Mod-03 Lec-10 One-sided high order accurate approximations,Explicit and implicit formulations
  11. 11 Mod-03 Lec-11 Numerical solution of the unsteady advection equation using different finite.
  12. 12 Mod-03 Lec-12 Need for analysis of a discretization scheme; Concepts of consistency
  13. 13 Mod-03 Lec-13 Statement of the stability problem
  14. 14 Mod-03 Lec-14 Consistency and stability analysis of the unsteady diffusion equation
  15. 15 Mod-03 Lec-15 Interpretation of the stability condition,Stability analysis of the generic scalar equ
  16. 16 Mod-04 Lec-16 Template for the generic scalar transport equation and its extension to the solution
  17. 17 Mod-04 Lec-17 Illustration of application of the template using the MacCormack scheme
  18. 18 Mod-04 Lec-18 Stability limits of MacCormack scheme
  19. 19 Mod-04 Lec-19 Artificial compressibility method and the streamfunction-vorticity method
  20. 20 Mod-04 Lec-20 Pressur e equation method for the solution of NS equations
  21. 21 Mod-04 Lec-21 Pressure-correction approach to the solution of NS equations on a staggered grid
  22. 22 Mod-05 Lec-22 Need for effici ent solution of linear algebraic equations
  23. 23 Mod-05 Lec-23 Direct methods for linear algebraic equations; Gaussian elimination method
  24. 24 Mod-05 Lec-24 Gauss-Jordan method; LU decomposition method; TDMA and Thomas algorithm
  25. 25 Mod-05 Lec-25 Basic iterative methods for linear algebraic equations: Description of point -Jacobi
  26. 26 Mod-05 Lec-26 Convergence analysis of basic iterative schemes,Diagonal dominance condition
  27. 27 Mod-05 Lec-27 Application to the Laplace equation
  28. 28 Mod-05 Lec-28 Advanced iterative methods: Alternating Direction Implicit Method; Operator splitting
  29. 29 Mod-05 Lec-29 Advanced iterative methods,Strongly Implicit Procedure,Conjugate gradient method
  30. 30 Mod-05 Lec-30 Illustration of the Multigrid method for the Laplace equation
  31. 31 Mod-06 Lec-31 Overview of the approach of numerical solution of NS equations for simple domains
  32. 32 Mod-06 Lec-32 Derivation of the energy conservation equation
  33. 33 Mod-06 Lec-33 Derivation of the species conservation equation; dealing with chemical reactions
  34. 34 Mod-06 Lec-34 Turbulence,Characteri stics of turbulent flow,Dealing with fluctuations
  35. 35 Mod-06 Lec-35 Derivation of the Reynolds -averaged Navier -Stokes equations
  36. 36 Mod-06 Lec-36 Reynol ds stresses in turbulent flow,Time and length scales of turbulence
  37. 37 Mod-06 Lec-37 One-equation model for turbulent flow
  38. 38 Mod-06 Lec-38 Two -equation model for turbulent flow; Numerical calculation of turbulent
  39. 39 Mod-06 Lec-39 Calculation of near-wall region in turbulent flow; wall function approach
  40. 40 Mod-07 Lec-40 Need for special methods for dealing with irregular fl ow geometry
  41. 41 Mod-07 Lec-41 Transformation of the governing equations; Illustration for the Laplace equation
  42. 42 Mod-07 Lec-42 Finite volume method for complicated flow domain
  43. 43 Mod-07 Lec-43 Finite volume method for the general case
  44. 44 Mod-07 Lec-44 Generation of a structured grid for irregular flow domain; Algebraic methods
  45. 45 Mod-07 Lec-45 Unstructured grid generation,Domain nodalization
  46. 46 Mod-07 Lec-46 Delaunay triangulation method for unstructured grid generation
  47. 47 Mod-07 Lec-47 Co -located grid approach for irregular geometries; Pressure correction equations

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