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Quadrature-free Discontinuous Galerkin Method for Shallow-water Equations

Title data

Faghih-Naini, Sara ; Aizinger, Vadym ; Kuckuk, Sebastian ; Zint, Daniel ; Köstler, Harald ; Grosso, Roberto:
Quadrature-free Discontinuous Galerkin Method for Shallow-water Equations.
2019
Event: 9th International Congress on Industrial and Applied Mathematics , 2019 July 15-19 , Valencia, Spain.
(Conference item: Conference , Speech )

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Abstract in another language

The shallow water equations (SWE) are a commonly used model to study tsunamis, tides, and coastal ocean circulation. However, there exist various approaches to discretize and solve them efficiently. Which of them is best for a certain scenario is often not known and, in addition, depends heavily on the used HPC platform. From a simulation software perspective, this places a premium on the ability to adapt easily to different numerical methods and hardware architectures. One solution to this problem is to apply code generation techniques and to express methods and specific hardware-dependent implementations on different levels of abstraction. In this talk, we introduce a new quadrature-free discontinuous Galerkin (DG) formulation for the shallow water equation. Furthermore, we present parts of the toolchain for automated code generation and also demonstrate the convergence of our method for higher order DG discretizations. Finally, we show some simulation results on realistic computational grids.

Further data

Item Type: Conference item (Speech)
Refereed: No
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Lehrstuhl Wissenschaftliches Rechnen
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics >
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > >
Research Institutions
Research Institutions > Research Centres
Research Institutions > Research Centres > Forschungszentrum für Modellbildung und Simulation (MODUS)
Research Institutions > Research Centres > Forschungszentrum für Wissenschaftliches Rechnen an der Universität Bayreuth - HPC-Forschungszentrum
Result of work at the UBT: Yes
DDC Subjects: 000 Computer Science, information, general works
000 Computer Science, information, general works > 004 Computer science
500 Science
500 Science > 500 Natural sciences
500 Science > 510 Mathematics
500 Science > 550 Earth sciences, geology
600 Technology, medicine, applied sciences
600 Technology, medicine, applied sciences > 600 Technology
Date Deposited: 19 Nov 2019 08:42
Last Modified: 19 Nov 2019 08:42
URI: https://eref.uni-bayreuth.de/id/eprint/53267