Stabilization Methods for Spectral Element Computations of Incompressible Flows

Authors:
Chuanju Xu
Affiliations:
Department of Mathematics, Xiamen University, Xiamen, China
Venue:
Journal of Scientific Computing
Year:
2006

Citing 9
Cited 1

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Legendre pseudospectral viscosity method for nonlinear conservation laws

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Two comments on filtering (artificial viscosity) for Chebyshev and legendre spectral and spectral element methods: preserving boundary conditions and interpretation of the filter as a diffusion

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Comments on "Filter-based stabilization of spectral element methods"

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Stabilized spectral element computations of high Reynolds number incompressible flows

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Stabilization of the Spectral Element Method in Convection Dominated Flows by Recovery of Skew-Symmetry

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Abstract

A stabilization method for the spectral element computation of incompressible flow problems is investigated. It is based on a filtering procedure which consists in filtering the velocity field by a spectral vanishing Helmholtz-type operator at each time step. Relationship between this filtering procedure and SVV-stabilization method, introduced recently in [JCP, 2004, 196(2), p680], is established. A number of numerical examples are presented to show the accuracy and stabilization capability of the method.