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On the efficiency of linearization schemes and coupled multigrid methods in the simulation of a 3D flow around a cylinder
Author(s) -
John Volker
Publication year - 2006
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.1080
Subject(s) - multigrid method , discretization , mathematics , navier–stokes equations , linearization , cylinder , flow (mathematics) , compressibility , saddle point , mathematical analysis , nonlinear system , geometry , partial differential equation , mechanics , physics , quantum mechanics
Abstract This paper studies the efficiency of two ways to treat the non‐linear convective term in the time‐dependent incompressible Navier–Stokes equations and of two multigrid approaches for solving the arising linear algebraic saddle point problems. The Navier–Stokes equations are discretized by a second‐order implicit time stepping scheme and by inf–sup stable, higher order finite elements in space. The numerical studies are performed at a 3D flow around a cylinder. Copyright © 2005 John Wiley & Sons, Ltd.