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BOUNDARY CONDITIONS FOR FINITE ELEMENT SIMULATIONS OF CONVECTIVE FLOWS WITH ARTIFICIAL BOUNDARIES
Author(s) -
HEINRICH J. C.,
IDELSOHN S. R.,
OÑATE E.,
VIONNET C. A.
Publication year - 1996
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19960330)39:6<1053::aid-nme896>3.0.co;2-n
Subject(s) - boundary value problem , boundary conditions in cfd , finite element method , boundary knot method , boundary (topology) , no slip condition , compressibility , mechanics , singular boundary method , mathematics , mathematical analysis , different types of boundary conditions in fluid dynamics , robin boundary condition , mixed boundary condition , boundary element method , physics , thermodynamics
We examine the use of natural boundary conditions and conditions of the Sommerfeld type for finite element simulations of convective transport in viscous incompressible flows. We show that natural boundary conditions are superior in the sense that they always provide a correct boundary condition, as opposed to the Sommerfeld‐type conditions, which can lead to a singular formulation and a great loss of accuracy. For the Navier–Stokes equations, the natural boundary conditions must be combined with a simple method to eliminate perturbations on the pressure at the open boundary, which is the source of most errors.