A compact higher-order finite difference method for the incompressible Navier-Stokes equations

DOI10.1023/A:1015166529060zbMath1001.76064OpenAlexW1588196093MaRDI QIDQ1610568

Jonas Nilsson, Wendy Kress, Arnim Brüger

Publication date: 20 August 2002

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1015166529060

zbMATH Keywords

incompressible Navier-Stokes equationscompact fourth-order finite difference approximationorthogonal staggered gridstwo-dimensional curvilinear coordinates

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20)

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Time step restrictions using semi-explicit methods for the incompressible Navier-Stokes equations ⋮ Boundary conditions and estimates for the linearized Navier--Stokes equations on staggered grids ⋮ FFT-based high order central difference schemes for Poisson's equation with staggered boundaries ⋮ Meshless schemes for unsteady Navier--Stokes equations in vorticity formulation using radial basis functions ⋮ High-order accurate solution of the incompressible Navier--Stokes equations ⋮ High order accurate solution of flow past a circular cylinder ⋮ The spatial operator in the incompressible Navier-Stokes, Oseen and Stokes equations

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