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On simulation of outflow boundary conditions in finite difference calculations for incompressible fluid
Author(s) -
Ol'shanskii M. A.,
Staroverov V. M.
Publication year - 2000
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 - 10.1002/1097-0363(20000630)33:4<499::aid-fld19>3.0.co;2-7
Subject(s) - outflow , mathematics , boundary value problem , compressibility , reynolds number , navier–stokes equations , boundary (topology) , computational fluid dynamics , different types of boundary conditions in fluid dynamics , boundary conditions in cfd , mathematical analysis , incompressible flow , dirichlet boundary condition , no slip condition , mechanics , flow (mathematics) , mixed boundary condition , robin boundary condition , geometry , physics , turbulence , meteorology
For incompressible Navier–Stokes equations in primitive variables, a method of setting absorbing outflow boundary conditions on an artificial boundary is considered. The advection equations used on the outflow boundary are convenient for finite difference (FD) methods, where a weak formulation of a problem is inapplicable. An unsteady viscous incompressible Navier–Stokes flow in a channel with a moving damper is modeled. An accurate comparison and analysis of numerical and mechanical situations are carried out for a variety of boundary conditions and Reynolds numbers. The proposed outflow conditions provide that the problem with Dirichlet boundary conditions should be solved on each time step.