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| Contribution to a conference proceedings/Contribution to a book | FZJ-2018-02922 |
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2018
Forschungszentrum Jülich GmbH, Zentralbibliothek
Jülich
Please use a persistent id in citations: http://hdl.handle.net/2128/18504
Abstract: We discuss the development of parallel algorithms for adaptive mesh refinement (AMR) and their application to large-scale problems in simulating fluid dynamics. Our approach to AMR can be described as using a forest of octrees (or quadtrees in 2D) that are adaptively refined. The storage of elements is distributed in parallel, and fast and scalable algorithms exist for dynamic refinement/coarsening and other important tasks, such as partitioning and the extraction of one layer of off-process (ghost) neighbours. Our contributions are twofold: (a) We use the p4est software as a basis to create numerical applications to simulate the flow of gas in the atmosphere (advection equations), variably saturated subsurface flow (Richards), and the free flow of liquid (Navier-Stokes). (b) In addition to using quadrilateral/cubic elements, we are developing space filling curves and high-level AMR algorithms for triangles and tetrahedra. We include scalability results and simulation snapshots obtained on the JUQUEEN supercomputer.
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