Highly Accurate Discretization of the Navier–Stokes Equations in Streamfunction Formulation

DOI10.1007/978-3-642-15337-2_16zbMath1430.76114OpenAlexW985416711MaRDI QIDQ2998524

Jean-Pierre Croisille, Matania Ben-Artzi, Dalia Fishelov

Publication date: 18 May 2011

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-15337-2_16

zbMATH Keywords

biharmonic operatorStokes equationbiharmonic problemhigh order compactscalar boundary condition

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05)

Related Items (2)

A center compact scheme for the shallow water equations on the sphere ⋮ A fourth order Hermitian box-scheme with fast solver for the Poisson problem in a square

Cites Work

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• A high order compact scheme for the pure-streamfunction formulation of the Navier-Stokes equations
• The stability of numerical boundary treatments for compact high-order finite-difference schemes
• Uncoupled finite element solution of biharmonic problems for vector potentials
• A Compact Difference Scheme for the Biharmonic Equation in Planar Irregular Domains
• A Fast Direct Solver for the Biharmonic Problem in a Rectangular Grid

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