A combined BEM-FEM model for the velocity-vorticity formulation of the Navier-Stokes equations in three dimensions

DOI10.1016/S0955-7997(00)00010-2zbMath0970.76060OpenAlexW2083860737MaRDI QIDQ1577784

N. Delaunay

Publication date: 16 October 2001

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0955-7997(00)00010-2

zbMATH Keywords

Navier-Stokes equationsiterative schemevelocity-vorticity formulationvorticity transport equationscombined boundary element and finite element modelcubic cavity flowvelocity Poisson equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Boundary element methods applied to problems in fluid mechanics (76M15) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (7)

Numerical simulation of dilute particle laden flows by wavelet BEM-FEM ⋮ A single domain velocity-vorticity fast multipole boundary domain element method for three dimensional incompressible fluid flow problems. II ⋮ BEM simulation of compressible fluid flow in an enclosure induced by thermoacoustic waves ⋮ 3-D boundary element-finite element method for velocity-vorticity formulation of the Navier-Stokes equations ⋮ Arbitrary Lagrangian-Eulerian finite element analysis of free surface flow using a velocity-vorticity formulation. ⋮ Solution of 2D Navier-Stokes equation by coupled finite difference-dual reciprocity boundary element method ⋮ Numerical solution of 2D Navier-Stokes equation discretized via boundary elements method and finite difference approximation

Cites Work

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• A pseudospectral method for solution of the three-dimensional incompressible Navier-Stoke equations
• Finite-difference methods for calculating steady incompressible flows in three dimensions
• A multistep technique with implicit difference schemes for calculating two- or three-dimensional cavity flows
• On finite element approximations of the streamfunction‐vorticity and velocity‐vorticity equations
• Investigation of the stability of boundary layers by a finite-difference model of the Navier—Stokes equations

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