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A highly parallel multigrid-like method for the solution of the Euler equations. (English) Zbl 0742.76068
A highly parallel multigrid-like method for the solution of the two- dimensional steady Euler equations is considered. The filtering algorithm is generalized to a version suitable for nonlinear problems. It is emphasized that this generalization is conceptually straightforward and relatively easy to implement. In particular, no explicit linearization (e.g., formation of Jacobians) needs to be performed (similar to the FAS multigrid approach). The nonlinear version is illustrated by applying it to the Euler equations and presenting numerical results. Finally, a performance evaluation is made based on execution time models and convergence information obtained from numerical experiments.

MSC:
76N15 Gas dynamics (general theory)
65Y05 Parallel numerical computation
65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
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