Calculations of viscous flows with a multigrid method
The continuing evolution of supercomputers is shifting the optimal trade off between computational costs and completeness of the mathematical model toward the solution of the full set of nonlinear conservation laws. During the last decade, the development of effective methods for solving the inviscid form of the conservation laws has provided the necessary framework for attempting the analysis of viscous flows by solving the compressible Navier-Stokes and Reynolds-averaged equations. This work carries out this extension for 2-D transonic viscous flows past airfoils. Two multigrid schemes for the solution of the 2-D viscous compressible conservation equations are developed and validated. The unknown variables are stored at the cell centers in the first approach and at the cell vertices in the second. A finite-volume formulation is used to discretize the spatial operators, and several discretization formulas for the viscous terms are studied. Validation of the schemes is carried out in several steps. The validation of two efficient, robust, and accurate multigrid methods brings numerical simulation of the Navier Stokes and Reynolds-averaged equations to a new plateau.
- Research Organization:
- Princeton Univ., NJ (USA)
- OSTI ID:
- 7029684
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
420400* -- Engineering-- Heat Transfer & Fluid Flow
99 GENERAL AND MISCELLANEOUS
990210 -- Supercomputers-- (1987-1989)
AIRFOILS
COMPUTER CALCULATIONS
CONSERVATION LAWS
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
NAVIER-STOKES EQUATIONS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
VISCOUS FLOW