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The key innovation in this paper is an open-source, high-performanceiterative solver for high contrast, strongly anisotropic elliptic partialdifferential equations implemented within dune-pdelab. The iterative solverexploits a robust, scalable two-level additive Schwarz preconditioner, GenEO(Spillane et al. 2014). The development of this solver has been motivated bythe need to overcome the limitations of commercially available modeling toolsfor solving structural analysis simulations in aerospace compositeapplications. Our software toolbox dune-composites encapsulates themathematical complexities of the underlying packages within an efficient C++framework, providing an application interface to our new high-performancesolver. We illustrate its use on a range of industrially motivated examples,which should enable other scientists to build on and extend dune-composites andthe GenEO preconditioner for use in their own applications. We demonstrate thescalability of the solver on more than 15,000 cores of the UK nationalsupercomputer Archer, solving an aerospace composite problem with over 200million degrees of freedom in a few minutes. This scale of computation bringscomposites problems that would otherwise be unthinkable into the feasiblerange. To demonstrate the wider applicability of the new solver, we alsoconfirm the robustness and scalability of the solver on SPE10, a challengingbenchmark in subsurface flow/reservoir simulation.

High-performance dune modules for solving large-scale, strongly anisotropic elliptic problems with applications to aerospace composites