Comments on ``Filter-based stabilization of spectral element methods.

DOI10.1006/jcph.2002.7178zbMath1090.76052OpenAlexW2070985789MaRDI QIDQ1868577

Richard Pasquetti, Chuanju Xu

Publication date: 28 April 2003

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/ec92800a2a5869c90863f3184f0c541e605fe6b2

zbMATH Keywords

spectral methodsstabilization techniques

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral methods applied to problems in fluid mechanics (76M22) Diffusion and convection (76R99)

Related Items

Stabilized spectral element computations of high Reynolds number incompressible flows ⋮ Stabilization of the spectral element method in convection dominated flows by recovery of skew-symmetry ⋮ Consistency of the full and reduced order models for evolve‐filter‐relax regularization of convection‐dominated, marginally‐resolved flows ⋮ Stabilization of the Spectral-Element Method in Turbulent Flow Simulations ⋮ Filtering in Legendre spectral methods ⋮ Numerical simulation of the Graetz problem in ducts with viscoelastic FENE-P fluids ⋮ Stabilization methods for spectral element computations of incompressible flows ⋮ Variational multiscale turbulence modelling in a high-order spectral element method ⋮ An Evolve-Filter-Relax Stabilized Reduced Order Stochastic Collocation Method for the Time-Dependent Navier--Stokes Equations

Cites Work

• 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
• Filter-based stabilization of spectral element methods
• Unnamed Item