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Computation of 3D exterior stationary incompressible Navier‐Stokes flowswith non‐zero velocity at infinity
Author(s) -
Calgaro Caterina,
Deuring Paul,
Jennequin Delphine
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310536
Subject(s) - discretization , mathematics , compressibility , domain (mathematical analysis) , infinity , mathematical analysis , computation , stokes problem , zero (linguistics) , navier–stokes equations , boundary (topology) , boundary value problem , finite element method , pressure correction method , geometry , physics , mechanics , algorithm , linguistics , philosophy , thermodynamics
We aim to find numerical approximations of stationary incompressible Navier‐Stokes flows in 3D exterior domains. To this end, we consider the Navier‐Stokes system with local artificial boundary conditions on a truncated exterior domain. This boundary value problem is solved approximately by a finite element method. The corresponding error is estimated with respect to the discretisation depth and the size of the truncated exterior domain.