A superlinearly convergent finite volume method for the incompressible Navier-Stokes equations on staggered unstructured grids

Authors:
D. Vidović;A. Segal;P. Wesseling
Affiliations:
J. M. Burgers Center and Department of Applied Mathematical Analysis, Delft University of Technology, Delft, The Netherlands;J. M. Burgers Center and Department of Applied Mathematical Analysis, Delft University of Technology, Delft, The Netherlands;J. M. Burgers Center and Department of Applied Mathematical Analysis, Delft University of Technology, Delft, The Netherlands
Venue:
Journal of Computational Physics
Year:
2004

Citing 4
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A superlinearly convergent Mach-uniform finite volume method for the Euler equations on staggered unstructured grids

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Abstract

A method for linear reconstruction of staggered vector fields with special treatment of the divergence is presented. An upwind-biased finite volume scheme for solving the unsteady incompressible Navier-Stokes equations on staggered unstructured triangular grids that uses this reconstruction is described. The scheme is applied to three benchmark problems and is found to be superlinearly convergent in space.