Stabilized spectral element computations of high Reynolds number incompressible flows

Authors:
Chuanju Xu;Richard Pasquetti
Affiliations:
Department of Mathematics, Xiamen University, Xiamen, PR China;Lab. J.A. Dieudonné, UMR CNRS 6621, Université de Nice-Sophia Antipolis, Nice, France
Venue:
Journal of Computational Physics
Year:
2004

Citing 13
Cited 6

Convergence of spectral methods for nonlinear conservation laws

SIAM Journal on Numerical Analysis
An operator-integration-factor splitting method for time-dependent problems: application to incompressible fluid flow

Journal of Scientific Computing
Legendre pseudospectral viscosity method for nonlinear conservation laws

SIAM Journal on Numerical Analysis
An analysis of the fractional step method

Journal of Computational Physics
A fast Schur complement method for the spectral element discretization of the incompressible Navier-Stokes equations

Journal of Computational Physics
A Legendre pseudospectral viscosity method

Journal of Computational Physics
An overlapping Schwarz method for spectral element solution of the incompressible Navier-Stokes equations

Journal of Computational Physics
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

Journal of Computational Physics
A spectral vanishing viscosity method for large-eddy simulations

Journal of Computational Physics
A vorticity-based method for incompressible unsteady viscous flows

Journal of Computational Physics
Spectral Vanishing Viscosity Method For Nonlinear Conservation Laws

SIAM Journal on Numerical Analysis
High-Order Algorithms for Large-Eddy Simulation of Incompressible Flows

Journal of Scientific Computing
Comments on "Filter-based stabilization of spectral element methods"

Journal of Computational Physics

Spectral Vanishing Viscosity Method for Large-Eddy Simulation of Turbulent Flows

Journal of Scientific Computing
Stabilization Methods for Spectral Element Computations of Incompressible Flows

Journal of Scientific Computing
The parabolised stability equations for 3D-flows: implementation and numerical stability

Applied Numerical Mathematics
Variational multiscale turbulence modelling in a high order spectral element method

Journal of Computational Physics
Adapting the spectral vanishing viscosity method for large-eddy simulations in cylindrical configurations

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

Journal of Scientific Computing

Quantified Score

Hi-index	31.46

Visualization

Abstract

The possibility of using the spectral vanishing viscosity method for the spectral element computation of high Reynolds number incompressible flows is investigated. An exponentially accurate stabilized formulation is proposed and then applied to the computation of the 2D wake of a cylinder. Such a formulation call be easily implemented in existing spectral element solvers, since only modifying the computation of the viscous term while preserving the symmetry of the corresponding bilinear form.