Development of an artificial compressibility methodology using flux vector splitting. (English) Zbl 0888.76059
The authors propose an efficient solution based on the principle of artificial compressibility by using flux vector splitting. The solution is written for laminar, steady, incompressible two-dimensional flows, discretized in a general coordinate system. The unfactored discretized equations are solved with an implicit first-order-accurate time scheme together with the Gauss-Seidel relaxation technique. The authors report that the use of upwind schemes makes the coefficient matrices diagonally dominant, thus permitting CFL numbers up to 10.000. Thereby the convergence is markedly accelerated. The solution is compared with experimental data and other numerical results. Extension of the method to the computation of unsteady flows is under investigation.
Reviewer: E.Krause (Aachen)
MSC:
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
Keywords:
diagonally dominant coefficient matrix; general coordinate system; implicit first-order-accurate time scheme; Gauss-Seidel relaxation technique; upwind schemesReferences:
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