Bastian, Peter; Lang, Stefan Couplex benchmark computations obtained with the software toolbox UG. (English) Zbl 1060.86001 Comput. Geosci. 8, No. 2, 125-147 (2004). 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. Cited in 7 Documents 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 Keywords:Discontinuous Galerkin scheme; finite volume scheme; flow; multigrid; parallel computation; transport Software:COUPLEX; UG PDFBibTeX XMLCite \textit{P. Bastian} and \textit{S. Lang}, Comput. Geosci. 8, No. 2, 125--147 (2004; Zbl 1060.86001) Full Text: DOI