# Multigrid and defect correction for the efficient solution of the steady Euler equations

B. Koren, S.P. Spekreijse

## Samenvatting

An efficient iterative solution method for second-order accurate discretizations of the 20 Steady Euler equations is described and results are shown. The method is based on a nonlinear multigrid method and on the defect correction principle. 80th first- and second-order accurate finite-volume upwind discretizations are considered. In the second-order discretization a limiter is used. An Iterative Defect Correction process is used to approximately solve the system of second-order discretized equations. In each iteration ot this process, a solution is computed of the first-order system with an appropriate right-hand side. This solution is computed by a nonlinear multigrid method, where Symmetric Gauss-Seidel relaxation is used as the smoothing procedure. The computational method does not require any tuning of parameters. Flow solutions are presented for an airfoil and a bi-airfoil with propeller disk. The solutions show good resolution of all flow phenomena and are obtained at low computational cost. Particularly With respect to efficiency, the method contributes to the state of the art in computing steady Euler flows with discontinuities.
Originele taal-2 Engels Research in Numerical Fluid Mechanics : Proceedings of the 25th Meeting of the Dutch Association for Numerical Fluid Mechanics, 20 October 1986, Delft, The Netherlands P. Wesseling Braunschweig/Wiesbaden Vieweg 87-100 Gepubliceerd - 1987 conference; 25th Meeting of the Dutch Association for Numerical Fluid Mechanics; 1986-10-20; 1986-10-20 - Duur: 20 okt. 1986 → 20 okt. 1986

### Publicatie series

Naam Notes on Numerical Fluid Mechanics 17 0179-9614

### Congres

Congres conference; 25th Meeting of the Dutch Association for Numerical Fluid Mechanics; 1986-10-20; 1986-10-20 20/10/86 → 20/10/86 25th Meeting of the Dutch Association for Numerical Fluid Mechanics

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