Learn · Computational Fluid Dynamics For Incompressible Flows

Lecture 15 of 44Week 5 : Parabolic equations

Lec 2: Finite difference formulations of Parabolic Equations: Implicit Methods

Prof. Amaresh Dalal · IIT Guwahati

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Computational Fluid Dynamics For Incompressible Flows, IIT Guwahati (at NPTEL)
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CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
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All the lectures

  1. Lec 1: Applications of CFD Video
  2. Lec 2: Basic equations of fluid dynamics and heat transfer Video
  3. Lec 3: Initial and boundary conditions Video
  4. Physical Classification, System of first-order PDEs Video
  5. System of second-order PDEs Video
  6. Lec 1: Finite difference by Taylor series expansion Video
  7. Lec 2: Finite difference by general approximation and polynomials Video
  8. Lec 3: Finite difference in non-uniform grid Video
  9. Lec 4: Types of error and accuracy of FD solutions Video
  10. Lec 1: Finite difference formulations of Elliptic Equations with boundary condition treatment Video
  11. Lec 2: Iterative Methods Video
  12. Lec 3: Applications Video
  13. Lec 4: Linear Solvers Video
  14. Lec 1: Finite difference formulations of Parabolic Equations Video
  15. Lec 2: Finite difference formulations of Parabolic Equations: Implicit Methods Video
  16. Lec 3: Finite difference formulations of Parabolic Equations: Unsteady Two-Dimensional Equation Video
  17. Lec 4: Finite difference formulations of Parabolic Equations: Unsteady Three-Dimensional Equation Video
  18. Lec 1: Finite difference formulations of the first order wave equation: Explicit Method Video
  19. Lec 2: Finite difference formulations of the first order wave equation: Implicit Method Video
  20. Lec 1: von Neumann stability analysis of different schemes for Parabolic equations Video
  21. Lec 2: von Neumann stability analysis of different schemes for Parabolic equations Video
  22. Lec 3: von Neumann stability analysis of different schemes for Hyperbolic equations Video
  23. Lec 4: Modified equation, Artificial viscosity, Numerical diffusion Video
  24. Lec 1: Discretization vorticity-stream function equations using FDM Video
  25. Lec 2: Boundary conditions for flow problems Video
  26. Lec 3: Solutions of vorticity-stream function equations Video
  27. Lec 1:Solution of Navier-Stokes Equation using FDM Video
  28. Lec 2: Solution of Navier-Stokes Equation using FDM (Continued) Video
  29. Lec 1: Introduction to finite volume method Video
  30. Lec 2: Finite volume discretization of steady diffusion equation Video
  31. Lec 3: Finite volume discretization of unsteady diffusion equation Video
  32. Lec 1: Finite volume discretization of steady convection- diffusion equation Video
  33. Lec 2: Finite volume discretization of unsteady convection- diffusion equation Video
  34. Lec 3: Convection Schemes Video
  35. Lec 1: Solution of Navier-Stokes Equations using FVM Video
  36. Lec 2: Solution of Navier-Stokes Equations using FVM - II Video
  37. Lec 3: Boundary Conditions Video
  38. Live Session 24-02-2020 Video
  39. Live Session 19-03-2020 Video
  40. Live Session 06-05-2020 Video
  41. Live Session 21-02-2022 Video
  42. Live Session 10-02-2025 Video
  43. Live Session 03-03-2025 Video
  44. Live Session 24-03-2025 Video