Aerospace - Introduction to CFD
Unlock Computational Mastery: Dive into the World of Functions, Equations, and Multigrid Methods! Discover the Power of Laplace, Wave Equations, and Parallel Computing in Our Comprehensive 39-Lecture Series. Transform Theory into Code with Practical Demos!
4.0
(3)
42 learners
What you'll learn
- Understand the necessity and functionality of computers in problem-solving.
- Apply numerical methods to represent functions and derivatives on computers.
- Analyze the stability and convergence of solutions to Laplace and wave equations.
- Implement advanced computational techniques like multigrid methods and parallel computing.
This course includes
- 32 hours of video
- Certificate of completion
- Access on mobile and TV
Course content
1 modules • 39 lessons • 32 hours of video
Advanced Computational Techniques and Numerical Solutions
39 lessons
• 32 hours
Advanced Computational Techniques and Numerical Solutions
39 lessons
• 32 hours
- Mod-01 Lec-01 Introduction, Why and how we need computers 47:54
- Mod-01 Lec-02 Representing Arrays and functions on computers 40:51
- Mod-01 Lec-03 Representing functions - Box functions 47:45
- Mod-01 Lec-04 Representing functions - Polynomials & Hat functions 53:34
- Mod-01 Lec-05 Hat functions, Quadratic & Cubic representations 50:27
- Mod-01 Lec-06 Demo - Hat functions, Aliasing 50:58
- Mod-01 Lec-07 Representing Derivatives - finite differences 50:44
- Mod-01 Lec-08 Finite differences, Laplace equation 49:32
- Mod-01 Lec-09 Laplace equation - Jacobi iterations 50:12
- Mod-01 Lec-10 Laplace equation - Iteration matrices 51:18
- Mod-01 Lec-11 Laplace equation - convergence rate 33:01
- Mod-01 Lec-12 Laplace equation - convergence rate Continued 30:23
- Mod-01 Lec-13 Demo - representation error, Laplace equation 50:57
- Mod-01 Lec-14 Demo - Laplace equation, SOR 50:56
- Mod-01 Lec-15 Laplace equation - final, Linear Wave equation 51:24
- Mod-01 Lec-16 Linear wave equation - Closed form & numerical solution, stability analysis 50:45
- Mod-01 Lec-17 Generating a stable scheme & Boundary conditions 51:34
- Mod-01 Lec-18 Modified equation 51:11
- Mod-01 Lec-19 Effect of higher derivative terms on Wave equation 51:34
- Mod-01 Lec-20 Artificial dissipation, upwinding, generating schemes 51:48
- Mod-01 Lec-21 Demo - Modified equation, Wave equation 51:06
- Mod-01 Lec-22 Demo - Wave equation / Heat Equation 50:03
- Mod-01 Lec-23 Quasi-linear One-Dimensional. wave equation 31:32
- Mod-01 Lec-24 Shock speed, stability analysis, Derive Governing equations 51:50
- Mod-01 Lec-25 One-Dimensional Euler equations - Attempts to decouple 51:06
- Mod-01 Lec-26 Derive Eigenvectors, Writing Programs 52:14
- Mod-01 Lec-27 Applying Boundary conditions 50:53
- Mod-01 Lec-28 Implicit Boundary conditions 51:12
- Mod-01 Lec-29 Flux Vector Splitting, setup Roe’s averaging 51:13
- Mod-01 Lec-30 Roe’s averaging 51:59
- Mod-01 Lec-31 Demo - One Dimensional flow 51:34
- Mod-01 Lec-32 Accelerating convergence - Preconditioning, dual time stepping 52:41
- Mod-01 Lec-33 Accelerating convergence, Intro to Multigrid method 53:33
- Mod-01 Lec-34 Multigrid method 53:31
- Mod-01 Lec-35 Multigrid method - final, Parallel Computing 52:16
- Mod-01 Lec-36 Calculus of Variations - Three Lemmas and a Theorem 52:37
- Mod-01 Lec-37 Calculus of Variations - Application to Laplace Equation 50:56
- Mod-01 Lec-38 Calculus of Variations -final & Random Walk 52:39
- Mod-01 Lec-39 Overview and Recap of the course 53:47
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