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AN ARTIFICIAL BOUNDARY CONDITION FOR TWO‐DIMENSIONAL INCOMPRESSIBLE VISCOUS FLOWS USING THE METHOD OF LINES
Author(s) -
HAN HOUDE,
BAO WEIZHU
Publication year - 1996
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/(sici)1097-0363(19960330)22:6<483::aid-fld331>3.0.co;2-5
Subject(s) - boundary value problem , neumann boundary condition , mathematics , mathematical analysis , navier–stokes equations , mixed boundary condition , robin boundary condition , no slip condition , cauchy boundary condition , singular boundary method , vorticity , slip (aerodynamics) , dirichlet boundary condition , boundary conditions in cfd , computational fluid dynamics , compressibility , mechanics , physics , vortex , boundary element method , finite element method , thermodynamics
We design an artificial boundary condition for the steady incompressible Navier–Stokes equations in streamfunction–vorticity formulation in a flat channel with slip boundary conditions on the wall. The new boundary condition is derived from the Oseen equations and the method of lines. A numerical experiment for the non‐linear Navier–Stokes equations is presented. The artificial boundary condition is compared with Dirichlet and Neumann boundary conditions for the flow past a rectangular cylinder in a flat channel. The numerical results show that our boundary condition is more accurate.