Learn · Computational Fluid Dynamics

Lecture 3 of 43MATHEMATICAL MODELING

Conservation Laws and Mathematical Preliminaries

Dr. K. M. Singh · IIT Roorkee

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Computational Fluid Dynamics, IIT Roorkee (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. General Introduction: Historical Background and Spectrum of Applications Video
  2. CFD: Simulation Process and Course Outline Video
  3. Conservation Laws and Mathematical Preliminaries Video
  4. Mass Conservation: Continuity Equation Video
  5. Momentum Equation: Newton’s 2nd Law Video
  6. Momentum Equation: Navier-Stokes Equations Video
  7. Navier-Stokes Equation and its Simplified Forms Video
  8. Energy and Scalar Transport Equations Video
  9. Scalar Transport, Mathematical Classification and Boundary Conditions Video
  10. Finite Difference Method: Methodology and Grid Notation Video
  11. Finite Difference Approximation of First Order Derivatives Video
  12. Finite Difference Approximation of Second Order Derivatives Video
  13. Finite Difference Approximation of Second Order Derivatives-2 Video
  14. Approximation of Mixed Derivatives and Multi-Dimensional F.D. Formulae Video
  15. Implementation of Boundary Conditions and Finite Difference Algebraic System Video
  16. Applications of FDM to Scalar Transport Problems-1 Video
  17. Applications of FDM to Scalar Transport Problems-2 Video
  18. Application of FDM to Advection-Diffusion and Computer Implementation Aspects Video
  19. Computer Implementation of FDM for Steady State Heat Diffusion Problems Video
  20. Computer Implementation of FDM for Steady State Heat Diffusion Problems -2 Video
  21. Computer Implementation of FDM for Steady State Heat Diffusion Problems -3 Video
  22. Solution of Discrete Algebraic Systems Video
  23. Direct and Basic Iterative Methods for Linear Systems Video
  24. Accelerated Iterative Methods for Linear Systems Video
  25. Two Level and Multi-Level Methods for First Order IVPs Video
  26. Two Level and Multi-Level Methods for First Order IVPs-2 Video
  27. Application to Unsteady Transport Problems Video
  28. Introduction to Finite Volume Method Video
  29. Finite Volume Interpolation Schemes Video
  30. Application of FVM to Scalar Transport Video
  31. Introduction to Finite Element Method Video
  32. Finite Element Shape Functions and Numerical Integration Video
  33. Finite Element Shape Functions and Numerical Integration-2 Video
  34. Application of FEM to Scalar Transport Video
  35. Special Features of Navier-Stokes Equations Video
  36. Time Integration Techniques for Navier-Stokes Equations Video
  37. Implicit Pressure Correction Methods Video
  38. SIMPLEC, SIMPLER and Fractional Step Methods Video
  39. Turbulent Flows: Features and Simulation Strategies Video
  40. Reynolds Averaging and RANS Simulation Models Video
  41. RANS Turbulence Models and Large Eddy Simulation Video
  42. Introduction to Grid Generation Video
  43. Aspects of Practical CFD Analysis Video