elib
DLR-Header
DLR-Logo -> http://www.dlr.de
DLR Portal Home | Impressum | Datenschutz | Kontakt | English
Schriftgröße: [-] Text [+]

Evaluation and generic application scenarios for curved hexahedral adaptive mesh refinement

Elsweijer, Sandro (2022) Evaluation and generic application scenarios for curved hexahedral adaptive mesh refinement. Masterarbeit, Hochschule Bonn-Rhein-Sieg. doi: 10.13140/RG.2.2.34714.11203.

[img] PDF
43MB

Kurzfassung

In (dynamic) adaptive mesh refinement (AMR) an input mesh is refined or coarsened to the need of the numerical application. This refinement happens with no respect to the originally meshed domain and is therefore limited to the geometrical accuracy of the original input mesh. We presented a novel approach to equip this input mesh with additional geometry information, to allow refinement and high-order cells based on the geometry of the original domain. We already showed a limited implementation of this algorithm. Now we evaluate this prototype with a numerical application and we prove its influence on the accuracy of certain numerical results. To be as practical as possible, we implement the ability to import meshes generated by Gmsh and equip them with the needed geometry information. Furthermore, we improve the mapping algorithm, which maps the geometry information of the boundary of a cell into the cell's volume. With these preliminary steps done, we use out new approach in a simulation of the advection of a concentration along the boundary of a sphere shell and past the boundary of a rotating cylinder. We evaluate the accuracy of our approach in comparison to the conventional refinement of cells to answer our research question: How does the performance and accuracy of the hexahedral curved domain AMR algorithm compare to linear AMR when solving the advection equation with the linear finite volume method? To answer this question, we show the influence of curved AMR on our simulation results and see, that it is even able to outperform far finer linear meshes in terms of accuracy. We also see that the current implementation of this approach is too slow for practical usage. We can therefore prove the benefits of curved AMR in certain, geometry-related application scenarios and show possible improvements to make it more feasible and practical in the future.

elib-URL des Eintrags:https://elib.dlr.de/186561/
Dokumentart:Hochschulschrift (Masterarbeit)
Titel:Evaluation and generic application scenarios for curved hexahedral adaptive mesh refinement
Autoren:
AutorenInstitution oder E-Mail-AdresseAutoren-ORCID-iDORCID Put Code
Elsweijer, SandroSandro.Elsweijer (at) dlr.dehttps://orcid.org/0000-0002-2753-3873NICHT SPEZIFIZIERT
Datum:2022
Referierte Publikation:Nein
Open Access:Ja
DOI:10.13140/RG.2.2.34714.11203
Seitenanzahl:54
Status:veröffentlicht
Stichwörter:adaptive mesh refinement, computational geometry, hexahedron, high-order meshes, mesh generation
Institution:Hochschule Bonn-Rhein-Sieg
Abteilung:Fachbereich Elektrotechnik, Maschinenbau und Technikjournalismus
HGF - Forschungsbereich:Luftfahrt, Raumfahrt und Verkehr
HGF - Programm:Raumfahrt
HGF - Programmthema:Technik für Raumfahrtsysteme
DLR - Schwerpunkt:Raumfahrt
DLR - Forschungsgebiet:R SY - Technik für Raumfahrtsysteme
DLR - Teilgebiet (Projekt, Vorhaben):R - Aufgaben SISTEC
Standort: Köln-Porz
Institute & Einrichtungen:Institut für Softwaretechnologie > High-Performance Computing
Institut für Softwaretechnologie
Hinterlegt von: Elsweijer, Sandro
Hinterlegt am:09 Jun 2022 10:44
Letzte Änderung:13 Jun 2022 13:03

Nur für Mitarbeiter des Archivs: Kontrollseite des Eintrags

Blättern
Suchen
Hilfe & Kontakt
Informationen
electronic library verwendet EPrints 3.3.12
Gestaltung Webseite und Datenbank: Copyright © Deutsches Zentrum für Luft- und Raumfahrt (DLR). Alle Rechte vorbehalten.