METR 5344 CFD Course Home Page (Fall 2015)
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
We will also use http://ozone.ou.edu for grade posting etc.
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.
Review 1
Homework 3.
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
Homework 5.
Homework 5 Part II
Review 2.
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
Chapter 5. Methods for Elliptic Equations
Chapter 6. Introduction to SemiLagrangian Methods
Chapter 7. Introduction to Spectral Methods
 Model for Prediction Across Scalesâ€“Atmosphere (MPASA) NCAR developed recently:
 Skamarock, W. C., J. B. Klemp, M. G. Duda, L. D. Fowler, S.H. Park, and T. D. Ringler, 2012: A Multiscale Nonhydrostatic Atmospheric Model Using Centroidal Voronoi Tesselations and CGrid Staggering. Monthly Weather Review, 140, 30903105.
 A climate simulation model based on ICOSAherdraf 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.
 An Icosahedral global model NOAA/ESRL is developing (FIM and subsequnet nonhydrostatic version):
 Lee, J.L. and A. E. MacDonald, 2009: A FiniteVolume Icosahedral ShallowWater Model on a Local Coordinate. Monthly Weather Review, 137, 14221437.
 Bleck, R., S. Benjamin, J. Lee, and A. E. MacDonald, 2009: On the Use of an Adaptive, HybridIsentropic Vertical Coordinate in Global Atmospheric Modeling. Monthly Weather Review, 138, 21882210.
Review for 3rd Exam
