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A review of some finite element methods to solve the stationary Navier‐Stokes equations
Author(s) -
Segal A.
Publication year - 1985
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650050306
Subject(s) - solenoidal vector field , penalty method , finite element method , polygon mesh , navier–stokes equations , mathematics , function (biology) , mathematical analysis , mathematical optimization , physics , mechanics , geometry , vector field , compressibility , evolutionary biology , biology , thermodynamics
In this paper the integrated solution approach, the penalty function approach and the solenoidal approach for the finite element solution of the stationary Navier‐Stokes equations are compared. It is shown that both the penalty function approach and the solenoidal approach compare favourably to the integrated solution method. For fine meshes the solenoidal approach appears to be the cheapest method.