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Erschienen in:
2018 | OriginalPaper | Buchkapitel
Efficient Solution Techniques for Multi-phase Flow in Porous Media
verfasst von : Henrik Büsing
Erschienen in: Large-Scale Scientific Computing
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Abstract
Multi-phase flow in porous media is relevant for many applications, e.g. geothermal energy production, groundwater remediation, CO\(_2\) sequestration, enhanced oil recovery or nuclear waste storage. The arising non-linear partial differential equations are highly non-linear and thus often solved in a fully implicit way. We present a Schur complement reduction method relying on algebraic multigrid methods for solving the arising linear systems. This method is compared to a classical Constrained Pressure Residual (CPR-AMG) approach. It turns out that the new method is competitive to the classical approach with the advantage that it relies only on scalable algebraic multigrid (AMG) and not on incomplete LU (ILU) preconditioning. Scaling results are presented for both methods on the Jülich high performance computer JUQUEEN.