Mass- and Momentum Conservation of the Least-Squares Spectral Element Method for the Stokes Problem

  • Authors:

  • Michael M. Proot;Marc I. Gerritsma

  • Affiliations:

  • Aff1 Aff3;Aerospace Engineering, Aerodynamics Section, Delft University of Technology, Delft, The Netherlands 2629 HS

  • Venue:
  • Journal of Scientific Computing
  • Year:
  • 2006

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Abstract

The opinion that least-squares methods are not useful due to their poor mass conserving property should be revised. It will be shown that least-squares spectral element methods perform poorly with respect to mass conservation, but this is compensated with a superior momentum conservation. With these new insights, one can firmly state that the least-squares spectral element method remains an interesting alternative for the commonly used Galerkin spectral element formulation