Premium
Stream function solution of Navier‐Stokes problems with inter‐element penalties
Author(s) -
Utku M.,
Carey G. F.
Publication year - 1987
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.1650070207
Subject(s) - linearization , extension (predicate logic) , mathematics , stream function , stokes problem , finite element method , navier–stokes equations , function (biology) , element (criminal law) , flow (mathematics) , stokes flow , mathematical analysis , mathematical optimization , computer science , geometry , nonlinear system , mechanics , physics , compressibility , quantum mechanics , vortex , evolutionary biology , biology , political science , law , thermodynamics , programming language , vorticity
In this note, we apply a finite element stream function formulation with inter‐element penalties to the Navier‐Stokes equations. The approach is an extension of a technique previously introduced for Stokes, flow. The solution is obtained by iterative linearization using successive approximation, and results for a standard numerical test case are given.