Computational Fluid Dynamics for Incompressible Flows

Computational Fluid Dynamics for Incompressible Flows

NPTEL IIT Guwahati via YouTube Direct link

Lec 1: Applications of CFD

2 of 38

2 of 38

Lec 1: Applications of CFD

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Computational Fluid Dynamics for Incompressible Flows

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  1. 1 Computational Fluid Dynamics for Incompressible Flows: Intro Video
  2. 2 Lec 1: Applications of CFD
  3. 3 Lec 2: Basic equations of fluid dynamics and heat transfer
  4. 4 Lec 3: Initial and boundary conditions
  5. 5 Lec 4: System of second-order PDEs
  6. 6 Lec 5: System of first-order PDEs
  7. 7 Lec 6: Finite difference by Taylor series expansion
  8. 8 Lec 7: Finite difference by general approximation and polynomials
  9. 9 Lec 8: Finite difference in non-uniform grid
  10. 10 Lec 9: Types of error and accuracy of FD solutions
  11. 11 Lec 10: Finite difference formulations of Elliptic Equations with boundary condition treatment
  12. 12 Lec 11: Iterative Methods
  13. 13 Lec 12: Applications
  14. 14 Lec 13: Linear Solvers
  15. 15 Lec 14: Finite difference formulations of Parabolic Equations
  16. 16 Lec 15: Finite difference formulations of Parabolic Equations: Implicit Methods
  17. 17 Lec 16: Finite difference formulations of Parabolic Equations: Unsteady Two-Dimensional Equation
  18. 18 Lec 17: Finite difference formulations of Parabolic Equations: Unsteady Three-Dimensional Equation
  19. 19 Lec 18: Finite difference formulations of the first order wave equation: Explicit Method
  20. 20 Lec 19: Finite difference formulations of the first order wave equation: Implicit Method
  21. 21 Lec 20: Von Neumann stability analysis of different schemes for Parabolic equations
  22. 22 Lec 21: von Neumann stability analysis of different schemes for Parabolic equations
  23. 23 Lec 22: von Neumann stability analysis of different schemes for Hyperbolic equations
  24. 24 Lec 23: Modified equation, Artificial viscosity, Numerical diffusion
  25. 25 Lec 24: Discretization vorticity-stream function equations using FDM
  26. 26 Lec 25: Boundary conditions for flow problems
  27. 27 Lec 26: Solutions of vorticity-stream function equations
  28. 28 Lec 27: Solution of Navier-Stokes Equation using FDM
  29. 29 Lec 28: Solution of Navier-Stokes Equation using FDM (Continued)
  30. 30 Lec 29: Introduction to finite volume method
  31. 31 Lec 30: Finite volume discretization of steady diffusion equation
  32. 32 Lec 31: Finite volume discretization of unsteady diffusion equation
  33. 33 Lec 32: Finite volume discretization of steady convection- diffusion equation
  34. 34 Lec 33: Finite volume discretization of unsteady convection- diffusion equation
  35. 35 Lec 34: Convection Schemes
  36. 36 Lec 35: Solution of Navier-Stokes Equations using FVM
  37. 37 Lec 36: Solution of Navier-Stokes Equations using FVM - II
  38. 38 Lec 37: Boundary Conditions

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