Application of the least-squares spectral element method using Chebyshev polynomials to solve the incompressible Navier-Stokes equations

zbMath1064.76079MaRDI QIDQ1773077

Michael M. J. Proot, M. I. Gerritsma

Publication date: 25 April 2005

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

lid-driven cavity flow

Mathematics Subject Classification ID

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

Related Items (11)

An improved time-splitting method for simulating natural convection heat transfer in a square cavity by Legendre spectral element approximation ⋮ A post-processing technique for stabilizing the discontinuous pressure projection operator in marginally-resolved incompressible inviscid flow ⋮ Least-squares spectral collocation with the overlapping Schwarz method for the incompressible Navier-Stokes equations ⋮ Conservation of mass and momentum of the least-squares spectral collocation scheme for the Stokes problem ⋮ Haar wavelet approximation for magnetohydrodynamic flow equations ⋮ An adaptive least-squares spectral collocation method with triangular elements for the incompressible Navier-Stokes equations ⋮ An adaptive spectral least-squares scheme for the Burgers equation ⋮ A direct solver for the least-squares spectral collocation system on rectangular elements for the incompressible Navier-Stokes equations ⋮ Mass and momentum conservation of the least-squares spectral collocation method for the Navier-Stokes equations ⋮ \(hp\)-adaptive least squares spectral element method for hyperbolic partial differential equations ⋮ Chebyshev polynomial approximation for high‐order partial differential equations with complicated conditions

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