Aerospace - Introduction to CFD (English)

   Saturday, May 03, 2025   

Starting a new Lecture Notes Series on Aerospace - Introduction to CFD

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Aerospace - Introduction to CFD By Lecture Notes together!

Lecture 1: Mod-01 Lec-01 Introduction, Why and how we need computers

Lecture 2: Mod-01 Lec-02 Representing Arrays and functions on computers

Lecture 3: Mod-01 Lec-03 Representing functions - Box functions

Lecture 4: Mod-01 Lec-04 Representing functions - Polynomials & Hat functions

Lecture 5: Mod-01 Lec-05 Hat functions, Quadratic & Cubic representations

Lecture 6: Mod-01 Lec-06 Demo - Hat functions, Aliasing

Lecture 7: Mod-01 Lec-07 Representing Derivatives - finite differences

Lecture 8: Mod-01 Lec-08 Finite differences, Laplace equation

Lecture 9: Mod-01 Lec-09 Laplace equation - Jacobi iterations

Lecture 10: Mod-01 Lec-10 Laplace equation - Iteration matrices

Lecture 11: Mod-01 Lec-11 Laplace equation - convergence rate

Lecture 12: Mod-01 Lec-12 Laplace equation - convergence rate Continued

Lecture 13: Mod-01 Lec-13 Demo - representation error, Laplace equation

Lecture 14: Mod-01 Lec-14 Demo - Laplace equation, SOR

Lecture 15: Mod-01 Lec-15 Laplace equation - final, Linear Wave equation

Lecture 16: Mod-01 Lec-16 Linear wave equation - Closed form & numerical solution, stability analysis

Lecture 17: Mod-01 Lec-17 Generating a stable scheme & Boundary conditions

Lecture 18: Mod-01 Lec-18 Modified equation

Lecture 19: Mod-01 Lec-19 Effect of higher derivative terms on Wave equation

Lecture 20: Mod-01 Lec-20 Artificial dissipation, upwinding, generating schemes

Lecture 21: Mod-01 Lec-21 Demo - Modified equation, Wave equation

Lecture 22: Mod-01 Lec-22 Demo - Wave equation / Heat Equation

Lecture 23: Mod-01 Lec-23 Quasi-linear One-Dimensional. wave equation

Lecture 24: Mod-01 Lec-24 Shock speed, stability analysis, Derive Governing equations

Lecture 25: Mod-01 Lec-25 One-Dimensional Euler equations - Attempts to decouple

Lecture 26: Mod-01 Lec-26 Derive Eigenvectors, Writing Programs

Lecture 27: Mod-01 Lec-27 Applying Boundary conditions

Lecture 28: Mod-01 Lec-28 Implicit Boundary conditions

Lecture 29: Mod-01 Lec-29 Flux Vector Splitting, setup Roe’s averaging

Lecture 30: Mod-01 Lec-30 Roe’s averaging

Lecture 31: Mod-01 Lec-31 Demo - One Dimensional flow

Lecture 32: Mod-01 Lec-32 Accelerating convergence - Preconditioning, dual time stepping

Lecture 33: Mod-01 Lec-33 Accelerating convergence, Intro to Multigrid method

Lecture 34: Mod-01 Lec-34 Multigrid method

Lecture 35: Mod-01 Lec-35 Multigrid method - final, Parallel Computing

Lecture 36: Mod-01 Lec-36 Calculus of Variations - Three Lemmas and a Theorem

Lecture 37: Mod-01 Lec-37 Calculus of Variations - Application to Laplace Equation

Lecture 38: Mod-01 Lec-38 Calculus of Variations -final & Random Walk

Lecture 39: Mod-01 Lec-39 Overview and Recap of the course