Governing Equations and Approximations

  • 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 familiarize the reader with the equations governing the motion of atmospheres and the oceans. It introduces the well-known Boussinesq and hydrostatic approximations, and outlines the way the shallow water equations and the quasi-geostrophic equations follow from these approximations. The importance of boundary conditions is also emphasized. Readers who are familiar with these equations, approximations, and conditions may skip this chapter without loss of continuity.


Shallow Water Equations Hydrostatic Approximation Quasi-geostrophic Equations Potential Vorticity Vertical Turbulent Momentum Flux 
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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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