Shallow Water Problem

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


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.


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

Authors and Affiliations

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

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