Contribution to a conference proceedings/Contribution to a book FZJ-2018-02922

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Scalable Algorithms for Adaptive Mesh Refinement: Extension to General Element Types and Application to Fluid Dynamics

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2018
Forschungszentrum Jülich GmbH, Zentralbibliothek Jülich

NIC Symposium 2018
NIC Symposium 2018, JülichJülich, Germany, 22 Feb 2018 - 23 Feb 20182018-02-222018-02-23
Jülich : Forschungszentrum Jülich GmbH, Zentralbibliothek, NIC Series 49, 361 - 368 ()

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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.


Contributing Institute(s):
  1. John von Neumann - Institut für Computing (NIC)
  2. Agrosphäre (IBG-3)
Research Program(s):
  1. 255 - Terrestrial Systems: From Observation to Prediction (POF3-255) (POF3-255)

Appears in the scientific report 2018
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 Record created 2018-05-14, last modified 2021-01-29