Stability analysis for different formulations of the nonlinear term in \(P_N-P_{N-2}\) spectral element discretizations of the Navier-Stokes equations

DOI10.1006/jcph.2001.6912zbMath1106.76414OpenAlexW2087249174MaRDI QIDQ5956651

Dirk Wilhelm, Leonhard Kleiser

Publication date: 28 February 2002

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

Full work available at URL: https://doi.org/10.1006/jcph.2001.6912

zbMATH Keywords

Navier-Stokes equationsspectral element methodnumerical instabilityincompressible flowformulation of nonlinear term

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Spectral methods applied to problems in fluid mechanics (76M22) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (4)

A high-order discontinuous Galerkin method for the unsteady incompressible Navier-Stokes equations ⋮ Stabilization of the spectral element method in convection dominated flows by recovery of skew-symmetry ⋮ Reduced aliasing formulations of the convective terms within the Navier-Stokes equations for a compressible fluid ⋮ An application of domain decomposition methods with non-conforming spectral element/Fourier expansions for the incompressible Navier-Stokes equations

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