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Mod-01 Lec-08 Finite differences, Laplace equation
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Classroom Contents
Introduction to CFD
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- 1 Mod-01 Lec-01 Introduction, Why and how we need computers
- 2 Mod-01 Lec-02 Representing Arrays and functions on computers
- 3 Mod-01 Lec-03 Representing functions - Box functions
- 4 Mod-01 Lec-04 Representing functions - Polynomials & Hat functions
- 5 Mod-01 Lec-05 Hat functions, Quadratic & Cubic representations
- 6 Mod-01 Lec-06 Demo - Hat functions, Aliasing
- 7 Mod-01 Lec-07 Representing Derivatives - finite differences
- 8 Mod-01 Lec-08 Finite differences, Laplace equation
- 9 Mod-01 Lec-09 Laplace equation - Jacobi iterations
- 10 Mod-01 Lec-10 Laplace equation - Iteration matrices
- 11 Mod-01 Lec-11 Laplace equation - convergence rate
- 12 Mod-01 Lec-12 Laplace equation - convergence rate Continued
- 13 Mod-01 Lec-13 Demo - representation error, Laplace equation
- 14 Mod-01 Lec-14 Demo - Laplace equation, SOR
- 15 Mod-01 Lec-15 Laplace equation - final, Linear Wave equation
- 16 Mod-01 Lec-16 Linear wave equation - Closed form & numerical solution, stability analysis
- 17 Mod-01 Lec-17 Generating a stable scheme & Boundary conditions
- 18 Mod-01 Lec-18 Modified equation
- 19 Mod-01 Lec-19 Effect of higher derivative terms on Wave equation
- 20 Mod-01 Lec-20 Artificial dissipation, upwinding, generating schemes
- 21 Mod-01 Lec-21 Demo - Modified equation, Wave equation
- 22 Mod-01 Lec-22 Demo - Wave equation / Heat Equation
- 23 Mod-01 Lec-23 Quasi-linear One-Dimensional. wave equation
- 24 Mod-01 Lec-24 Shock speed, stability analysis, Derive Governing equations
- 25 Mod-01 Lec-25 One-Dimensional Euler equations - Attempts to decouple
- 26 Mod-01 Lec-26 Derive Eigenvectors, Writing Programs
- 27 Mod-01 Lec-27 Applying Boundary conditions
- 28 Mod-01 Lec-28 Implicit Boundary conditions
- 29 Mod-01 Lec-29 Flux Vector Splitting, setup Roe’s averaging
- 30 Mod-01 Lec-30 Roe’s averaging
- 31 Mod-01 Lec-31 Demo - One Dimensional flow
- 32 Mod-01 Lec-32 Accelerating convergence - Preconditioning, dual time stepping
- 33 Mod-01 Lec-33 Accelerating convergence, Intro to Multigrid method
- 34 Mod-01 Lec-34 Multigrid method
- 35 Mod-01 Lec-35 Multigrid method - final, Parallel Computing
- 36 Mod-01 Lec-36 Calculus of Variations - Three Lemmas and a Theorem
- 37 Mod-01 Lec-37 Calculus of Variations - Application to Laplace Equation
- 38 Mod-01 Lec-38 Calculus of Variations -final & Random Walk
- 39 Mod-01 Lec-39 Overview and Recap of the course
