SEARCH

SEARCH BY CITATION

Keywords:

  • mixed finite element;
  • energy conservation;
  • shallow-water equations

Abstract

This article presents families of spatial discretizations of the nonlinear rotating shallow-water equations that conserve both energy and potential enstrophy. These are based on two-dimensional mixed finite-element methods and hence, unlike some finite-difference methods, do not require an orthogonal grid. Numerical verification of the aforementioned properties is also provided.