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2ND-ORDER UPWIND DIFFERENCING IN A RECIRCULATING FLOW

AIAA JOURNAL 1987年第11期25卷 1435-1441页

作者： VANKA, SP Argonne National Laboratory Argonne Illinois

In this study, we have investigated the accuracy and stability of the second-order upwind differencing scheme originally suggested by Price et al. and recently used by several others. The solution algorithm employed is based on a coupled solution of the nonlinear finite-difference equations by the multigrid technique. Calculations have been made of the driven cavity flow for several Reynolds numbers and finite-difference grids. We observe that, in comparison with the hybrid differencing, the second-order upwind differencing is somewhat more accurate but that it is not monotonically accurate with mesh refinement. Also, the convergence of the solution algorithm deteriorates with the use of the second-order upwind differencing. © 1987 American Institute of Aeronautics and Astronautics, Inc., All rights reserved.

关键词： Reynolds Numbers multigrid algorithm Kinematic Viscosity Upwind Scheme Peclet Number Continuity Equation Computer Programs Finite Difference Coefficient Relative Stability multigrid Methods

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FINITE VOLUME SOLUTION OF THE TWO-DIMENSIONAL EULER EQUATIONS ON A REGULAR TRIANGULAR MESH

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AIAA JOURNAL 1986年第4期24卷 611-618页

作者： JAMESON, A MAVRIPLIS, D Princeton University Princeton New Jersey

The two-dimensional Euler equations have been solved on a triangular grid by a multigrid scheme using the finite volume approach. By careful construction of the dissipative terms, the scheme is designed to be secondorder accurate in space, provided the grid is smooth, except in the vicinity of shocks, where it behaves as firstorder accurate. In its present form, the accuracy and convergence rate of the triangle code are comparable to that of the quadrilateral mesh code of Jameson. © 1986 American Institute of Aeronautics and Astronautics, Inc., All rights reserved.

关键词： Euler Equations Drag Coefficient Angle of Attack Potential Flow Triangular Element NACA 0012 Finite Volume Formulation multigrid algorithm Computing Effort Pressure Switches

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