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Removing Hanging Faces from Tree-Based Adaptive Meshes for Numerical Simulations

Becker, Florian and Gassner, Gregor J. and Holke, Johannes (2022) Removing Hanging Faces from Tree-Based Adaptive Meshes for Numerical Simulations. 2022 SIAM Annual Meeting, 2022-07-11 - 2022-07-15, Pittsburgh, U.S..

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Abstract

Adaptive mesh refinement (AMR) suffers from the problem of hanging faces in regions where elements of different refinement levels are neighbored, restricting its applicability when numerical solvers or methods are only compatible with conformal meshes. In our work, we develop a new feature for the tree-based AMR library t8code, that post-processes adaptive meshes and removes their hanging faces. In particular, we consider 2-dimensional quadrilateral refinements and insert transition cells of triangular subelements to ensure a one-to-one correspondence of elements faces and neighbors. The resulting conformal mesh is then called a transitioned mesh. We ensure that our method can properly be used in the context of AMR, where the mesh is constantly adapted and thus the transitioned mesh is as well. Furthermore, the neighbor-finding process in t8code is efficiently implemented via the Morton SFC index. We develop an extension of this approach for transitioned meshes, such that neighbor elements can efficiently be identified here, too. Numerical tests have proven the efficiency of our implementations and their applicability in a simple Finite Volume setting for the linear advection equation. Recently, progress has been made to enable MPI for these new features as well.

Item URL in elib:https://elib.dlr.de/191848/
Document Type:Conference or Workshop Item (Speech)
Title:Removing Hanging Faces from Tree-Based Adaptive Meshes for Numerical Simulations
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Becker, FlorianUNSPECIFIEDhttps://orcid.org/0000-0002-8384-9282UNSPECIFIED
Gassner, Gregor J.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Holke, JohannesUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Date:July 2022
Refereed publication:No
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Status:Published
Keywords:Hanging Faces, Adaptive Mesh Refinement, High-Performance Computing
Event Title:2022 SIAM Annual Meeting
Event Location:Pittsburgh, U.S.
Event Type:international Conference
Event Start Date:11 July 2022
Event End Date:15 July 2022
Organizer:SIAM
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:Institut of Simulation and Software Technology > High Performance Computing
Institute for Software Technology
Deposited By: Becker, Florian
Deposited On:21 Dec 2022 12:09
Last Modified:24 Apr 2024 20:53

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