Modified finite difference schemes for geophysical flows

Research output: Contribution to journalArticle

Abstract

In previous works we developed a method to improve both the accuracy and computational efficiency of a given finite difference scheme used to simulate a geophysical flow. The resulting modified scheme is at least as accurate as the original, has the same time step, and often uses the same spatial stencil. However, in certain parameter regimes it is higher order. In this paper we apply the method to more realistic settings. Specifically, we apply the method to the Navier-Stokes equations and to a sea breeze model.

Original languageEnglish (US)
Pages (from-to)60-68
Number of pages9
JournalMathematics and Computers in Simulation
Volume124
DOIs
StatePublished - Jun 1 2016

Fingerprint

Geophysical Flows
Computational efficiency
Finite Difference Scheme
Navier Stokes equations
Computational Efficiency
Navier-Stokes Equations
Higher Order
Model

Keywords

  • Geophysical flows
  • Higher order finite difference schemes
  • PDEs

ASJC Scopus subject areas

  • Modeling and Simulation
  • Numerical Analysis
  • Applied Mathematics
  • Theoretical Computer Science
  • Computer Science(all)

Cite this

Modified finite difference schemes for geophysical flows. / Jones, Donald.

In: Mathematics and Computers in Simulation, Vol. 124, 01.06.2016, p. 60-68.

Research output: Contribution to journalArticle

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