WIAS Technical Report No. 1, (2001)

An operator-splitting finite-element approach to an 8:1 thermal cavity problem



Authors

  • Davis, Dominic
  • Bänsch, Eberhard

2010 Mathematics Subject Classification

  • 65N22 65Y20 65N30 65N50

Keywords

  • finite-element, advection, Navier-Stokes, CG method, GMRES, Galerkin

DOI

10.20347/WIAS.TECHREPORT.1

Abstract

This article describes the methodology for, and results obtained from, our contribution to a thermal-cavity benchmark test. Our solutions were obtained on graded rectangular grids for two different time-discretisation schemes by applying a finite-element procedure to the model equations, and a combination of conjugated-gradient (CG) and GMRES solvers to the resulting matrix systems.

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