Some experiments with high order compact methods using a computer algebra software. I

DOI10.1016/J.AMC.2005.05.015zbMath1138.76300OpenAlexW2094335548MaRDI QIDQ2489326

Roland Hunt, Paulo F. A. Mancera

Publication date: 16 May 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2005.05.015

zbMATH Keywords

Compact methodFourth order methodSteady 2D Navier-Stokes equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Software, source code, etc. for problems pertaining to fluid mechanics (76-04)

Related Items (1)

Some experiments with high order compact methods using a computer algebra software. II: Non-uniform grid

Uses Software

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Cites Work

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• The accuracy of finite difference schemes for the numerical solution of the Navier-Stokes equations
• A fourth-order accurate method for the incompressible Navier-Stokes equations on overlapping grids
• A study of a numerical solution of the steady two dimensions Navier--Stokes equations in a constricted channel problem by a compact fourth order method.
• The numerical solution of the flow in a general bifurcating channel at moderately high Reynolds number using boundary‐fitted co‐ordinates, primitive variables and Newton iteration
• A compact fourth‐order finite difference scheme for the steady incompressible Navier‐Stokes equations
• High‐order compact scheme for the steady stream‐function vorticity equations
• High accuracy solutions of incompressible Navier-Stokes equations

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