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The Power of Modular Tree-Based AMR - Resolving Hanging Nodes and Cutting Holes

Holke, Johannes and Knapp, David and Dreyer, Lukas and Elsweijer, Sandro and Ünlü, Veli and Burstedde, Carsten and Lilikakis, Ioannis and Böing, Niklas and Becker, Florian and Gassner, Gregor J. (2023) The Power of Modular Tree-Based AMR - Resolving Hanging Nodes and Cutting Holes. SIAM Conference on Computational Science and Engineering (CSE23), 26.02. - 03.03.2023, Amsterdam, Niederlande.

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We discuss recent developments in scalable adaptive mesh refinement (AMR). The t8code library offers fast and efficient tree-based (space-filling curve) adaptive mesh refinement solutions for application codes that require meshes. t8code extends the space-filling curve (SFC) techniques from quadrilaterals and hexahedra to all element shapes via an abstract interface. In particular we offer implementations for vertices, lines, quads, triangles, tetrahedra, hexahedra, prisms and pyramids, and also support meshes including different element shapes. The abstract interface allows us to further extend the SFC techniques to non-standard use cases that enable fast and scalable AMR for a variety of use cases. In particular we present the feature deleting elements from the mesh and the feature subelements. Subelements itself are very powerful in that they allow for a variety of new AMR option. One application of us is to remove hanging nodes from quad based AMR. Other applications include the definition of boundary layer (for example around airfoils), anisotropic refinement or subgrids for GPU computations.

Item URL in elib:https://elib.dlr.de/194399/
Document Type:Conference or Workshop Item (Speech)
Title:The Power of Modular Tree-Based AMR - Resolving Hanging Nodes and Cutting Holes
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Holke, JohannesUNSPECIFIEDhttps://orcid.org/0000-0002-2783-3286UNSPECIFIED
Knapp, DavidGerman Aerospace Center (DLR), Linder Höhe, 51147 Köln, Germanyhttps://orcid.org/0000-0002-6305-1572UNSPECIFIED
Dreyer, LukasUNSPECIFIEDhttps://orcid.org/0000-0001-7484-3674UNSPECIFIED
Elsweijer, SandroUNSPECIFIEDhttps://orcid.org/0000-0002-2753-3873UNSPECIFIED
Ünlü, VeliGerman Aerospace Center (DLR), Linder Höhe, 51147 Köln, GermanyUNSPECIFIEDUNSPECIFIED
Burstedde, CarstenInstitut für Numerische Simulation (INS), Endenicher Allee 19b, 53115 Bonn, Germanyhttps://orcid.org/0000-0001-9843-1041UNSPECIFIED
Böing, NiklasGerman Aerospace Center (DLR), Linder Höhe, 51147 Köln, GermanyUNSPECIFIEDUNSPECIFIED
Becker, FlorianUNSPECIFIEDhttps://orcid.org/0000-0002-8384-9282UNSPECIFIED
Gassner, Gregor J.University of Cologne, Mathematics Dept.https://orcid.org/0000-0002-1752-1158UNSPECIFIED
Date:March 2023
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:No
Keywords:adaptive mesh refinement, HPC, high-performance computing, t8code, AMR, numerical mathematics
Event Title:SIAM Conference on Computational Science and Engineering (CSE23)
Event Location:Amsterdam, Niederlande
Event Type:international Conference
Event Dates:26.02. - 03.03.2023
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Space System Technology
DLR - Research area:Raumfahrt
DLR - Program:R SY - Space System Technology
DLR - Research theme (Project):R - Tasks SISTEC
Location: Braunschweig , Köln-Porz
Institutes and Institutions:Institute for Software Technology > High-Performance Computing
Institute for Software Technology
Deposited By: Holke, Johannes
Deposited On:17 Apr 2023 09:45
Last Modified:17 Apr 2023 09:45

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