ATM S 581, Autumn 1997

Numerical Modeling of Atmospheric Flows

Course Outline:

Introduction

• The difficulty of simulating low-viscosity flow.
• Overview of numerical solution strategies.

Elementary finite-difference methods

• Accuracy, consistency, stability and convergence
• Time differencing.
• Spatial differencing
• The combined effects of time and space differencing.

Series expansion methods

• General properties of series expansion methods
• The spectral method
• The pseudo-spectral method

Finite volume methods

• The necessity of conservation form when the solution is discontinous.
• Flux-corrected transport

Semi-Langrangian methods

• Scalar advection
• The shallow-water system

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