A multigrid solver for the steady incompressible Navier-Stokes equations on curvilinear coordinate systems
- State Key Lab. of Scientific and Engineering Computing, Beijing (China)
A multigrid solver for the steady incompressible Navier-Stokes equations on a curvilinear grid is constructed. The Cartesian velocity components are used in the discretization of the momentum equations. A staggered, geometrically symmetric distribution of velocity components is adopted which eliminates spurious pressure oscillations and facilitates the transformation between Cartesian and co-or contra-variant velocity components. The SCGS (symmetrical collective Gauss-Seidel) relaxation scheme proposed by Vanka on a Cartesian grid is extended to this case to serve as the smoothing procedure of the multigrid solver, in both [open quotes]box[close quotes] and [open quotes]box-line[close quotes] versions. Due to the symmetric distribution of velocity components of this scheme, the convergence rate and numerical accuracy are not affected by grid orientation, in contrast to a scheme proposed in the literature in which difficulties arise when the grid lines turn 90 from the Cartesian coordinates. Some preliminary numerical experiences with this scheme are presented. 13 refs., 15 figs., 1 tab.
- OSTI ID:
- 7013952
- Journal Information:
- Journal of Computational Physics; (United States), Vol. 113:1; ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
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99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
INCOMPRESSIBLE FLOW
COMPUTERIZED SIMULATION
MESH GENERATION
CURVILINEAR COORDINATES
NAVIER-STOKES EQUATIONS
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ACCURACY
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