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Couplex benchmark computations obtained with the software toolbox UG. (English) Zbl 1060.86001

Summary: This paper describes the numerical results for the COUPLEX benchmark obtained with the simulation software UG using vertex centered finite volume and higher order discontinuous Galerkin schemes. Multigrid solvers on unstructured grids, local mesh refinement and parallel computation are employed to yield very accurate solutions. Since the full range of results required in the benchmarks is too large to be displayed in this paper we focus on the comparison of discretization schemes, assessment of numerical errors and the presentation of parallel computations.

MSC:

86-08 Computational methods for problems pertaining to geophysics
86A05 Hydrology, hydrography, oceanography
76S05 Flows in porous media; filtration; seepage
76M12 Finite volume methods applied to problems in fluid mechanics
76M10 Finite element methods applied to problems in fluid mechanics
65Y05 Parallel numerical computation

Software:

COUPLEX; UG
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