Speaker
Description
A three dimensional parallel implementation of Multiscale Mixed Methods based on non-overlapping domain decomposition is proposed and its computational performance is assessed by means of numerical experiments. As a prototypical method the Multiscale Robin Coupled Method [1] is chosen and its implementation is explained in detail. Numerical results for problems ranging from millions up to more than 2 billion computational cells in highly heterogeneous anysotropic rock formations based on the SPE10 benchmark [2] are shown. The proposed implementation relies on direct solvers for both the local problems and the interface coupling system. It exhibits good weak and strong scalalability as compared against a state-of-the-art global fine grid solver based on Algebric Multigrid preconditioning [3] in single and two-phase flow problems.
Keywords: Porous media, Darcy's law, Two-phase flow, High Performance Computing,
Multiscale method, Domain Decomposition
References
[1] R. T. Guiraldello, R. F. Ausas, F. S. Sousa, F. Pereira, and G. C. Buscaglia. The multiscale Robin coupled method for flows in porous media. Journal of Computational Physics, 355:1–21, 2018.
[2] M. Christie and M. J. Blunt. Tenth SPE comparative solution project: a comparison of upscaling techniques. 2001. SPE Reservoir Simulation Symposium 2001.
[3] R. Falgout. Hypre user’s manual. http://www.llnl.gov/CASC/hypre, 2017. Accessed: 2020-11-30.
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