EP711: CoAS 501, T/Th, 3:45--5:00

- Syllabus (8/21/2014)
- Final Exam (12/4/2014)

- Assignment 1: Describing The Atmosphere
- Assignment 2: Solving the Heat Equation
- Assignment 3: Linear and Nonlinear Acoustics w/Viscosity
- Assignment 4: Balancing an Atmosphere with Gravity

- Lecture Presentation #0 - Introduction to Modeling in Aeronomy (8/26)
- Lecture Presentation #1 - Standard Reference Atmospheres (8/28)
- Lecture Presentation #2 - Stability and Instability (9/2)
- Lecture Presentation #3 - Advection Equations and Conservation Laws (9/4)
- Lecture Presentation #4 - Finite Difference Methods for 1D Advection (9/9)
- Lecture Presentation #5 - Finite Difference Methods for 1D Diffusion (9/11)
- Lecture Presentation #6 - First Order FD Methods for Multi-Dimensional Problems (9/16)
- Lecture Presentation #7 - Second Order FD Methods for Multi-D Problems, plus BCs (9/18)
- Lecture Presentation #8 - Flux Form Finite Difference / Finite Volume Methods (9/23)
- Lecture Presentation #9 - Flux Limiters and TVD Criteria (9/25)
- Lecture Presentation #10 - FVMs for Systems of Hyperbolic PDEs (10/7)
- Lecture Presentation #11 - Inviscid Equations for Fluids (10/9)
- Lecture Presentation #12 - The Navier Stokes Equations (10/23)
- Lecture Presentation #13 - Case Studies: Acoustic/Gravity Waves (10/28)
- Lecture Presentation #14 - Case Studies: Constructing and Forcing Models (11/4)

- 1D Advection Equation (Lax-Friedrichs)
- 1D Advection Equation (Lax-Friedrichs / Lax-Wendroff)
- 1D Wave Equation (Lax-Friedrichs / Lax-Wendroff)
- 1D Linear Acoustics (Lax-Friedrichs / Lax-Wendroff)
- 1D Electromagnetics (Lax-Wendroff)
- 2D Advection (Lax, Dimensionally Split)
- 2D Advection (Lax, Multidimensional)
- 2D Advection (Lax-Wendroff, Dimensionally Split)
- 2D Advection (Lax-Wendroff, Multidimensional)
- 1D Advection (Flux Form, Flux Limited)
- 1D Linear Acoustics (LeVeque's Finite Volume Method)

**Methods for Geophysical and Atmospheric Problems:**- Durran, D.,
*Numerical Methods for Fluid Dynamics*, 2nd Ed., Springer, 2010. - Jacobson, M. Z.,
*Fundamentals of Atmospheric Modeling*, 2nd Ed., Cambridge, 2005. - Potter, D.,
*Computational Physics*, 1st Ed., Wiley, 1973 **General Numerical Methods (FD, FV):**- LeVeque, R. L.,
*Finite Volume Methods for Hyperbolic Problems*, 1st Ed., Cambridge, 2002. - LeVeque, R. L.,
*Finite Difference Methods for Ordinary and Partial Differential Equations*, 1st Ed., SIAM, 2007. - LeVeque, R. L.,
*Numerical Methods for Conservation Laws*, 2nd Ed., ETH, 2005. - Richtmeyer, R. D., and K. W. Morton,
*Difference Methods for Initial Value Problems*, 2nd Ed., Wiley Interscience, 1967. - Toro, E. F.,
*Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction*, 3rd Ed., Springer, 2009.

Last Updated: 9/9/2014,

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