Chapter 0. Introduction to CFD and Computing

• Syllabus
  
  
• Introduction to CFD
  
  
  • Introduction - Presentation
  • Sample CFD Movies
    • CFD Gallery of Movies and Links to many more.
    • ARPS Simulation of a Supercell Storm (Mpeg movie)
    • ARPS Simulation of a Tornado (Mpeg movie) Movie (permission from Ming Xue needed to use the movies).
    • 2D Density Current Movie One and Two using Java Script.
    • More movies can be found at http://twister.ou.edu/density-current-2.html.
    • Side by side comparison of radar observation and WRF forecast at 2 km horizontal grid spacing.
    • Side by side comparison of radar observation and WRF forecast at 1 km horizontal grid spacing.
  • Reading Assignment: Chapter 1 of text book
    
    
• Computers, Programming and Optimization
  • Assignment - Go through presentation An Introduction to High-Performance Computing by Henry Neeman or a Local Copy of the same presentation
    
    
• Another Presentation by Henry Neeman on compiler optimization will also very be helpful.

• Homework 1. Code Optimization (posted on Canvas)

Chapter 1. Foundamentals of Partial Differential Equation

• Letcure notes

• Chapter 1 from Lapidus & Pinder book
• D'Alember's Solution of wave equation.
• Recording of Sept. 12.
• Recording of Sept. 20.

Homework 2 (Posted in Canvas)

Chapter 2. Finite Difference Method

2.1. Introduction
2.2. Methods for Obtaining FD Expressions

Recording of Sept. 22.

Tremback et al (1987 MWR) - an example of using interpolation and polynomial fitting to construct high-order advection scheme

5.1 Relexation Methods for Solving Elliptic Equations.

2.3. Quantitative Properties of FD Schemes.

• Durran Chapter 2 on Finite Different Methods
• Straka et al (1993) on numerical convergence and determination of order of accuracy
• Fletcher book sections on solving diffusion equations
• Pielke book section on stability of schemes for diffusion equations
• Handouts on solving tridiagonal system of equations
• Fletcher book sections on general concepts and numerical convergence

Homework 3 (to be assigned).

2.4. Multi-Dimensional Problems

Homework 4 (to be assigned).

 

Textbook (recommended but not required): 
 Computational Fluid Mechanics and Heat Transfer, 4th Edition. Amazon Link.
Computational Fluid Mechanics and Heat Transfer, 3rd Edition. Amazon Link.