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p-adaptive discontinuous Galerkin method for the shallow water equations with a parameter-free error indicator

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00007027
URN to cite this document: urn:nbn:de:bvb:703-epub-7027-8

Title data

Faghih-Naini, Sara ; Aizinger, Vadym:
p-adaptive discontinuous Galerkin method for the shallow water equations with a parameter-free error indicator.
In: GEM : International Journal on Geomathematics. Vol. 13 (2022) Issue 1 . - No. 18.
ISSN 1869-2672
DOI der Verlagsversion: https://doi.org/10.1007/s13137-022-00208-3

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Project information

Project title:
Project's official title
Project's id
Performance optimized software strategies for unstructured-mesh applications in ocean modeling
AI 117/6-1

Project financing: Deutsche Forschungsgemeinschaft

Abstract

We propose a p-adaptive quadrature-free discontinuous Galerkin method for the shallow water equations based on a computationally efficient adaptivity indicator which works without any problem-dependent parameters. The error and smoothness of the solution are detected using the information collected for slope limiting and, for piecewise constant discretizations, by carrying out a reconstruction procedure. The accuracy and robustness of the new scheme are evaluated using several benchmarks and compared to other adaptivity indicators. Our results indicate that the proposed indicator finds a good balance between solution quality and computational overhead.

Further data

Item Type: Article in a journal
Keywords: s p-adaptivity; Error and smoothness indicator; Discontinuous Galerkin method; Quadrature-free; Shallow water equations; Ocean modeling
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
000 Computer Science, information, general works > 010 Bibliography
500 Science > 510 Mathematics
500 Science > 550 Earth sciences, geology
600 Technology, medicine, applied sciences
600 Technology, medicine, applied sciences > 600 Technology
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Scientific Computing
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Scientific Computing > Chair Scientific Computing - Univ.-Prof. Dr. Mario Bebendorf
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Professor Numerics of Partial Differential Equations
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Professor Numerics of Partial Differential Equations > Professor Numerics of Partial Differential Equations - Univ.-Prof. Dr. Vadym Aizinger
Profile Fields > Advanced Fields > Nonlinear Dynamics
Research Institutions > Central research institutes > Bayreuth Research Center for Modeling and Simulation - MODUS
Research Institutions > Central research institutes > Forschungszentrum für Wissenschaftliches Rechnen an der Universität Bayreuth - HPC-Forschungszentrum
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Profile Fields
Profile Fields > Advanced Fields
Research Institutions
Research Institutions > Central research institutes
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-7027-8
Date Deposited: 09 Jun 2023 06:10
Last Modified: 09 Jun 2023 06:11
URI: https://epub.uni-bayreuth.de/id/eprint/7027

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