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Quadraturefree Discontinuous Galerkin Method for Shallowwater Equations
Title data
FaghihNaini, Sara ; Aizinger, Vadym ; Kuckuk, Sebastian ; Zint, Daniel ; Köstler, Harald ; Grosso, Roberto:
Quadraturefree Discontinuous Galerkin Method for Shallowwater Equations.
2019
Event: 9th International Congress on Industrial and Applied Mathematics
, 2019 July 1519
, Valencia, Spain.
(Conference item: Conference
,
Speech
)
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 hardwaredependent implementations on different levels of abstraction. In this talk, we introduce a new quadraturefree 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 > Chair Scientific Computing 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 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  HPCForschungszentrum 
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.unibayreuth.de/id/eprint/53267 
