METR 5344 CFD Course Home Page (Fall 2020)
Instructor: Dr. Ming Xue
mxue@ou.edu
NWC 2502 (CAPS Office Suite)
Tel: 325 6037
Personal Web Page: http://twister.ou.edu
Lecture Time: Tuesday, Thursday 1:002:15 pm
Location: NWC 5930
Office Hours: Tuesday and Thursday 11:00  12:30pm or by appointment
Location: NWC 2502
Chapter 0. Introduction to CFD and Computing
Chapter 1. Foundamentals of Partial Differential Equation
Chapter 2. Finite Difference Method
2.1. Introduction
2.2. Methods for Obtaining FD Expressions
2.3. Quantitative Properties of FD Schemes.
Homework 3.
Review 1 for Exam 1
2.4. MultiDimensional Problems
Homework 4.
Chapter 3. Finite Difference Methods for Hyperbolic Equations
3.1. Introduction
3.2. Linear convection – 1D wave equation
Notes for 3.1 and 3.2
3.3. Phase and Amplitude Errors of
1D Advection Equation
3.4. Monotonicity of Advection Schemes
3.5. MultiDimensional Advection
Chapter 4. Nonlinear Hyperbolic Problems
4.1. Introduction
4.2. Nonlinear Instability
4.3. Controlling Nonlinear Instability
Review for second exam.
Homework 5.
4.4 System of Hyperbolic Equations 
Shallow Water Equation model
4.5. Boundary Conditions for Hyperbolic
Equations
Chapter 5. Methods for Elliptic Equations
Chapter 6. Introduction to SemiLagrangian Methods
Chapter 7. Introduction to Spectral Methods
 Lecture Notes
 Durran book Chapter 4
 Temperton (2000) on
future of spectral method for ECMWF model
 Cullen et al (2000) on
key issuess for future development
of ECMWF model
 ECMWF model information
 Model based on theicosaherdral grid:
 Heikes, R. P., D. A. Randall, and C. S. Konor, 2013: Optimized Icosahedral Grids: Performance of FiniteDifference Operators and Multigrid Solver. Monthly Weather Review, 141, 44504469.
 Heikes, R. and D. A. Randall, 1995: Numerical Integration of the ShallowWater Equations on a Twisted Icosahedral Grid. Part I: Basic Design and Results of Tests. Monthly Weather Review, 123, 18621880.
 Heikes, R. and D. A. Randall, 1995: Numerical Integration of the ShallowWater Equations on a Twisted Icosahedral Grid. Part II. A Detailed Description of the Grid and an Analysis of Numerical Accuracy. Monthly Weather Review, 123, 18811887.
 GFDL CubicSphere Finite Volume (FV3, https://www.gfdl.noaa.gov/fv3/ ) model chosen as the new dynamic core of the National Weather Service nextgeneration global forecasting system (NGGPS), and potentially for the regional forecasting also.
Review for third exam.
