EP711: CoAS 126, T/Th, 3:45-5:00

Office Hours: CoAS 319.21, T/Th, 9:45-11:00

- Assignment 1: Describing The Atmosphere
- Assignment 2: Atmospheric Stability
- Assignment 3: Methods for Hyperbolic Problems
- Assignment 4: Methods for Parabolic Problems, and Some Physical Effects at High Altitude

- Lecture Presentation #0 - Introduction to Modeling in Aeronomy (1/11/18)
- Lecture Presentation #1 - Standard Atmospheres and Empirical Models (1/18/18)
- Lecture Presentation #2 - Equilibrium and Stability (1/25/18)
- Lecture Presentation #3 - Advection, Conservation, Systems, and Wave Eqns. (1/30/18)
- Lecture Presentation #4 - Finite Difference Methods for Hyperbolic Problems (2/1/18)
- Lecture Presentation #5 - Finite Difference Methods, Flux Form and Flux Limiters (2/6/18)
- Lecture Presentation #6 - Hyperbolic Systems of Equations, Characteristics, and Finite Volume Methods (2/13 /18)
- Lecture Presentation #7 - Finite Difference Methods for Parabolic Problems (2/20/18)
- Lecture Presentation #8 - Multi-Dimensional Problems (2/27/18)
- Lecture Presentation #9 - Inviscid Systems of Fluid Equations (3/6/18)
- Lecture Presentation #10 - Physical Test Cases: Acoustic-Gravity Waves (3/27/18)
- Lecture Presentation #11 - Physical Test Cases: Forcing or Initializing a Model (4/3/18)
- Lecture Presentation #12 - Navier-Stokes Systems for Atmospheric Dynamics (4/10/18)

- EP501 Example Codes Available Here
- 1D Advection Equation (Lax-Friedrichs)
- 1D Advection Equation (Lax-Friedrichs / Lax-Wendroff)
- 1D Wave Equation (Lax-Friedrichs / Lax-Wendroff)
- 1D Advection (Flux Form, Flux Limited)
- 1D Linear Acoustics (LeVeque's Finite Volume Method)
- 2D Advection Comparison (Split/Unsplit, Lax/Lax-Wendroff)
- 2D Euler Equations with Gravity (Split Lax-Wendroff 2-step) - acoustic wave
- 2D Euler Equations with Gravity, Simple Viscosity - gravity wave / critical level

**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: 4/12/2018,

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