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Curved Domain Adaptive Mesh Refinement with Hexahedra

Elsweijer, Sandro (2021) Curved Domain Adaptive Mesh Refinement with Hexahedra. Project thesis, Hochschule Bonn-Rhein-Sieg.

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In tree-based adaptive mesh refinement (AMR) we store refinement trees in the cells of an unstructured coarse mesh. This lets us combine the speed and simpler management of structured refinement trees with the more flexible mesh generation of the unstructured coarse mesh. But this creates a conflict between performance and geometrical accuracy. If we favor speed we reduce the cells in our coarse mesh and hence reduce the accuracy of our geometrical representation. If we want more accurate results we generate a finer coarse mesh and lose performance by managing more cells in our unstructured coarse mesh. To mitigate this conflict we present the prototype of an geometry description which we implement in an already existing library. With this description we build geometry adapted hexahedral refinement trees, which also support high-order curved boundary cells. We also present examples on how to use this description. Moreover, we test the speedup of this new algorithm compared with coarse meshes with different geometrical errors.

Item URL in elib:https://elib.dlr.de/143537/
Document Type:Thesis (Project thesis)
Additional Information:Erstgutachter: Prof. Dr. Dirk Reith Betreuer: Jan Kleinert, Johannes Holke
Title:Curved Domain Adaptive Mesh Refinement with Hexahedra
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Date:19 July 2021
Refereed publication:No
Open Access:Yes
Number of Pages:18
Keywords:Geometry, Adaptive mesh refinement, High-performance Computing, high order, Software, h-refinement, p-refinement
Institution:Hochschule Bonn-Rhein-Sieg
Department:Elektrotechnik, Maschinenbau und Technikjournalismus
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 Aug 2021 08:46
Last Modified:07 Dec 2021 10:10

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