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