EP711: Computational Atmospheric Dynamics (Spring 2018)

Jonathan B. Snively

EP711: CoAS 126, T/Th, 3:45-5:00
Office Hours: CoAS 319.21, T/Th, 9:45-11:00

Course Files:

• Syllabus (1/10/2018)
• Exam (4/26/2018)

Class Homework Assignments:

• 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 Note Presentations:

• 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)

Sample Codes:

• 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

References and Suggested Texts:

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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