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Beyond One-Dimensional Transport

  • Dale R. Durran
Chapter
Part of the Texts in Applied Mathematics book series (TAM, volume 32)

Abstract

The basic properties of finite-difference methods were explored in Chap. 3 by applying each scheme to simple prototype problems involving advection and diffusion in one spatial dimension. The equations governing wavelike geophysical flows include additional complexities. In particular, the flow may depend on several unknown functions that are related by a system of partial differential equations, the unknowns may be functions of more than two independent variables, and the equations may be nonlinear. In this chapter we will examine some of the additional considerations that arise in the design and analysis of finite-difference schemes for the approximation of these more general problems.

Keywords

Phase Speed Average Scheme Fractional Step Advection Equation Aliasing Error 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of Atmospheric SciencesUniversity of WashingtonSeattleUSA

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