Abstract
We present a constrained pressure residual (CPR) two-stage preconditioner applied to a discontinuous Galerkin discretization of a two-phase flow in strongly heterogeneous porous media. We consider a fully implicit, locally conservative, higher order discretization on adaptively generated meshes. The implementation is based on the open-source PDE software framework Dune and its PETSc binding.
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Acknowledgements
The author acknowledges the German Research Foundation through the Cluster of Excellence in Simulation Technology (EXC310) at the University of Stuttgart for support.
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Kane, B. (2021). Multistage Preconditioning for Adaptive Discretization of Porous Media Two-Phase Flow. In: Vermolen, F.J., Vuik, C. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2019. Lecture Notes in Computational Science and Engineering, vol 139. Springer, Cham. https://doi.org/10.1007/978-3-030-55874-1_56
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DOI: https://doi.org/10.1007/978-3-030-55874-1_56
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