Staggered grid hybrid-dual spectral element method for second-order elliptic problems. Application to high-order time splitting methods for Navier-Stokes equations

DOI10.1016/S0045-7825(98)00069-3zbMath0969.76066OpenAlexW1965494387MaRDI QIDQ1818436

M. Grundmann, H. Khallouf, Mejdi Aza ıïez, Faker Ben Belgacem

Publication date: 2 February 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(98)00069-3

zbMATH Keywords

convergence ratesoptimalitysecond-order elliptic problemsfilteringstaggered gridspectral schemeunsteady incompressible Navier-Stokes flowsdivergence-free discrete velocityhigh-order time splittinghybrid dual formulationmixed spectral element method

Mathematics Subject Classification ID

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

Related Items (9)

The spectral implementation of the nonstationary Stokes problem with nonstandard boundary conditions ⋮ A mixed finite element method for Darcy’s equations with pressure dependent porosity ⋮ A priori error analysis of the implicit Euler, spectral discretization of a nonlinear equation for a flow in a partially saturated porous media ⋮ A new \(hp\) method for the \(-\mathrm{grad}(\mathrm{div})\) operator in non-Cartesian geometries ⋮ On a stable spectral method for the grad(div) eigenvalue problem ⋮ Incompressible Navier-Stokes solutions by a triangular spectral/\(p\) element projection method ⋮ A primal formulation for the Helmholtz decomposition ⋮ Legendre spectral methods for the - grad(div) operator ⋮ Penalty algorithm adapted for the spectral element discretization of the Darcy equations

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