Lectures 1 - 17 on Finite Difference Method
Lecture 1: Introduction to the finite-difference method
Lecture 2: One-dimensional steady-state heat conduction
Lecture 3: Flux boundary condition and non-dimensionalization
Lecture 4: Two-dimensional heat conduction and ADI
Lecture 5: Methods for unsteady problems
Lecture 6: Unsteady one-dimensional heat conduction; Introduction to stability considerations
Lecture 7: Stability considerations and CFL condition
Lecture 8: Consistency in finite-difference method
Lecture 9: Disipative and dispersive errors; Some schemes for the one-dimensional wave equation
Lecture 10: Point-by-point Gauss-Seidel iteration method
Lecture 11: Line-by-line Gauss-Seidel method; Overrelaxation and underrelaxation
Lecture 12: Some schemes for two- and three-dimensional transient heat conduction problems
Lecture 13: Convection and diffusion-forward time central space differencing (FTCS) scheme
Lecture 14: Convection and diffusion-heuristic stability analysis and upwind differencing
Lecture 15: HIgher-order schemes for one-dimensional wave equation
Lecture 16: Some robust schemes for convection-diffusion problems
Lecture 17: Vorticity-stream function approach and lid-driven cavity implementation
Lectures 18 - 29 on Finite Volume Method
Lecture 18: Introduction to the finite volume method
Lecture 19: Basic rules and interface conductivity
Lecture 20: Source term linearization and boundary conditions
Demo 3: Demonstration of finite volume method: Solution of steady one-dimensional heat conduction equation
Lecture 21: Unsteady heat conduction
Lecture 22: Geometric consideration and other coordinate systems
Lecture 23: Convection and diffusion-central difference and upwind schemes
Lecture 24: Convection and diffusion-hybrid and power-law schemes
Lecture 25: Convection and diffusion-Accuracy of schemes and treatment of 2D problems
Lecture 26: QUICK scheme
Lecture 27: One-way space coordinate and introduction to flow-field calculation
Lecture 28: Staggered grid and flow calculation
Lecture 29: SIMPLE algorithm and boundary conditions