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p-adaptive discontinuous Galerkin method for the shallow water equations on heterogeneous computing architectures

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00008909
URN to cite this document: urn:nbn:de:bvb:703-epub-8909-0

Title data

Faghih-Naini, Sara ; Aizinger, Vadym ; Kuckuk, Sebastian ; Angersbach, Richard ; Köstler, Harald:
p-adaptive discontinuous Galerkin method for the shallow water equations on heterogeneous computing architectures.
In: GEM : International Journal on Geomathematics. Vol. 16 (2025) . - 8.
ISSN 1869-2672
DOI der Verlagsversion: https://doi.org/10.1007/s13137-025-00267-2

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Project's official title
Project's id
Rechenleistungsoptimierte Software-Strategien für auf unstrukturierten Gittern basierende Anwendungen in der Ozeanmodellierung
320126236
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Project financing: Deutsche Forschungsgemeinschaft

Abstract

Heterogeneous computing and exploiting integrated CPU–GPU architectures has become a clear current trend since the flattening of Moore’s Law. In this work, we propose a numerical and algorithmic re-design of a p-adaptive quadrature-free discontinuous Galerkin (DG) method for the shallow water equations. Our new approach separates the computations of the non-adaptive (lower-order) and adaptive (higher-order) parts of the discretization from each other. Thereby, we can overlap computations of the lower-order and the higher-order DG solution components. Furthermore, we investigate execution times of main computational kernels and use automatic code generation to optimize their distribution between the CPU and GPU. Several setups, including a prototype of a tsunami simulation in a tide-driven flow scenario, are investigated, and the results show that significant performance improvements can be achieved in suitable setups.

Further data

Item Type: Article in a journal
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
500 Science > 510 Mathematics
500 Science > 550 Earth sciences, geology
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 > Chair Numerics of Partial Differential Equations
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Numerics of Partial Differential Equations > Chair 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-8909-0
Date Deposited: 20 Feb 2026 13:48
Last Modified: 20 Feb 2026 13:49
URI: https://epub.uni-bayreuth.de/id/eprint/8909

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