METR 5344 CFD Course Home Page (Fall 2007)

Instructor: Dr. Ming Xue
NWC 2502 (CAPS Office Suite)
Tel: 325 6037
Personal Web Page:

Lecture Time: Tuesday, Thursday 11:30-12:45 am
Location: NWC 5930

Office Hours: Tuesday and Thursday 1:30 - 2:30pm or by appointment
Location: NWC 2502

We will also use iThink for grade posting etc.
The address is

Chapter 0. Introduction to CFD and Computing

Chapter 1. Foundamentals of Partial Differential Equation

Homework 2.

Chapter 2. Finite Difference Method

2.1. Introduction
2.2. Methods for Obtaining FD Expressions

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

Homework 3.

2.3. Quantitative Properties of FD Schemes. Lecture notes

  • 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
  • Exam 1 Review Guide | Grade distribution

    Homework 4.

    2.4. Multi-Dimensional Problems

    Chapter 3. Finite Difference Methods for Hyperbolic Equations

    3.1. Introduction
    3.2. Linear convection – 1-D wave equation

    Notes for 3.1 and 3.2

    3.3. Phase and Amplitude Errors of 1-D Advection Equation

    3.4. Monotonicity of Advection Schemes

    3.5. Multi-Dimensional Advection

    Homework 5 .

    Exam 2 Review Guide | Grade distribution

    Chapter 4. Nonlinear Hyperbolic Problems

    4.1. Introduction
    4.2. Nonlinear Instability

    4.3. Controlling Nonlinear Instability

    4.4 System of Hyperbolic Equations - Shallow Water Equation model

    4.5. Boundary Conditions for Hyperbolic Equations

    Homework 6

    Chapter 5. Methods for Elliptic Equations

    Chapter 6. Introduction to Semi-Lagrangian Methods

    Chapter 7. Introduction to Spectral Methods

    Study Guide for 3rd Exam