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Shallow Water Problem

  • Lars Petter RøedEmail author
Chapter
  • 687 Downloads
Part of the Springer Textbooks in Earth Sciences, Geography and Environment book series (STEGE)

Abstract

The purpose of this chapter is to learn how to solve a simple subset of the momentum equations ( 1.1) numerically. The focus is on the shallow water equations, and in particular their depth integrated versions ( 1.33) and ( 1.34). Despite their simplicity, the shallow water equations include the essence of the momentum equations. For instance, we retain the possibility of a geostrophic balance and the impact of nonlinear terms on the dynamics.

Keywords

Shallow Water Equations Geostrophic Balance Forward-backward Scheme Inertia-gravity Waves Rossby Deformation Radius 
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 Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of GeosciencesUniversity of OsloOsloNorway
  2. 2.Norwegian Meteorological InstituteOsloNorway

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