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Constructing a Volume Geometry Map for Hexahedra with Curved Boundary Geometries

Elsweijer, Sandro and Holke, Johannes and Kleinert, Jan and Reith, Dirk (2022) Constructing a Volume Geometry Map for Hexahedra with Curved Boundary Geometries. In: SIAM International Meshing Roundtable Workshop 2022. SIAM International Meshing Roundtable Workshop 2022, 22. - 25. Feb. 2022, Online. (In Press)

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: In (dynamic) adaptive mesh refinement (AMR), a given input mesh is refined and coarsened during the computation to optimally adapt the resolution of the computational mesh to specific requirements. The input mesh is often the output of a mesh generator and provides information on the geometry of the domain. It is desired to keep its resolution as coarse as possible in order to benefit from the AMR mesh hierarchy and efficient mesh indexing algorithms. We present a novel approach to equip the coarse mesh with high-order geometry data and evaluate this geometry on the fine mesh elements in order to ensure geometric accuracy of the refined mesh elements, even for coarse input meshes. To this end, we construct a volume geometry map for hexahedral cells from given curved boundary geometry data and discuss our implementation in a state-of-the-art AMR library.

Item URL in elib:https://elib.dlr.de/186570/
Document Type:Conference or Workshop Item (Speech)
Title:Constructing a Volume Geometry Map for Hexahedra with Curved Boundary Geometries
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Elsweijer, SandroUNSPECIFIEDhttps://orcid.org/0000-0002-2753-3873
Holke, JohannesUNSPECIFIEDhttps://orcid.org/0000-0002-2783-3286
Kleinert, JanUNSPECIFIEDhttps://orcid.org/0000-0002-2709-214X
Reith, DirkUNSPECIFIEDhttps://orcid.org/0000-0003-1480-6745
Date:February 2022
Journal or Publication Title:SIAM International Meshing Roundtable Workshop 2022
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:No
Status:In Press
Keywords:adaptive mesh refinement, computational geometry, hexahedron, high-order meshes, mesh generation
Event Title:SIAM International Meshing Roundtable Workshop 2022
Event Location:Online
Event Type:international Conference
Event Dates:22. - 25. Feb. 2022
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: Köln-Porz
Institutes and Institutions:Institute for Software Technology > High-Performance Computing
Institute for Software Technology
Deposited By: Holke, Johannes
Deposited On:30 May 2022 10:03
Last Modified:30 May 2022 10:03

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