TY - JOUR

T1 - A multigrid method for an invariant formulation of the incompressible Navier-Stokes equations in general co-ordinates

AU - Oosterlee, C. W.

AU - Wesseling, P.

PY - 1992

Y1 - 1992

N2 - The stationary incompressible Navier-Stokes equations are discretized with a finite volume method in curvilinear co- ordinates. The arbitrarily shaped domain is mapped onto a rectangular block, resulting in a boundary-fitted grid. In order to obtain accurate discretizations of the transformed equations, some requirements on geometric quantities should be met. The choice of velocity components is also of importance. Contravariant flux unknowns and pressure p are used as primary unknowns on a staggered grid arrangement. The system of discretized equations is solved with a non-linear multigrid algorithm, into which a smoother, called Symmetric Coupled Gauss-Seidel, is implemented. Cell by cell, all unknowns in the grid cell are updated by solving four momentum equations and a continuity equation simultaneously. The solution algorithm shows satisfying average reduction factors for several domains. (A)

AB - The stationary incompressible Navier-Stokes equations are discretized with a finite volume method in curvilinear co- ordinates. The arbitrarily shaped domain is mapped onto a rectangular block, resulting in a boundary-fitted grid. In order to obtain accurate discretizations of the transformed equations, some requirements on geometric quantities should be met. The choice of velocity components is also of importance. Contravariant flux unknowns and pressure p are used as primary unknowns on a staggered grid arrangement. The system of discretized equations is solved with a non-linear multigrid algorithm, into which a smoother, called Symmetric Coupled Gauss-Seidel, is implemented. Cell by cell, all unknowns in the grid cell are updated by solving four momentum equations and a continuity equation simultaneously. The solution algorithm shows satisfying average reduction factors for several domains. (A)

UR - http://www.scopus.com/inward/record.url?scp=0026809708&partnerID=8YFLogxK

U2 - 10.1002/cnm.1630081003

DO - 10.1002/cnm.1630081003

M3 - Article

AN - SCOPUS:0026809708

SN - 0748-8025

VL - 8

SP - 721

EP - 734

JO - Communications in Applied Numerical Methods

JF - Communications in Applied Numerical Methods

IS - 10

ER -