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Viscosity‐splitting scheme for the Navier‐Stokes equations
Author(s) -
Lungan Ying
Publication year - 1991
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.1690070403
Subject(s) - mathematics , boundary value problem , navier–stokes equations , viscosity , convergence (economics) , scheme (mathematics) , mathematical analysis , tangent , stokes flow , slip (aerodynamics) , flow (mathematics) , geometry , mechanics , physics , compressibility , thermodynamics , economics , economic growth
A viscosity‐splitting scheme for the initial boundary value problems of the Navier‐Stokes equations is considered. In the scheme, the Stokes equation is solved in conjunction with a nonhomogeneous boundary condition which connects the tangent flow with a no‐slip flow. Convergence is proved.