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ADER-DG

swMATH ID: 26406
Software Authors: Rannabauer, Leonhard; Dumbser, Michael; Bader, Michael
Description: ADER-DG with a-posteriori finite-volume limiting to simulate tsunamis in a parallel adaptive mesh refinement framework. In this paper, we present the application of the ADER discontinuous Galerkin method with an -posteriori finite-volume limiter on the simulation of tsunamis. The goal is to obtain a method of high-order convergence in deep water areas while being able to handle wetting & drying at coast lines. Several adjustments of the original ADER-DG method are presented to preserve characteristics like the well-balanced property. We evaluate and confirm developed concepts by a series of numerical tests and present them in the context of reconstructed tsunamis.
Homepage: https://www.sciencedirect.com/science/article/pii/S0045793018300392
Keywords: tsunami simulation; wetting & drying; ADER discontinuous Galerkin; high-order
Related Software: HE-E1GODF; MOOD; ECHO; GEOCLAW; Peano; ReALE; DistMesh; PRMLT; FLASH; RIEMANN; HLLE; CoArray; LIBXSMM; RAMSES; AMRCLAW; CLAWPACK; NIRVANA; MLxtend; samoa2
Cited in: 17 Publications

Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
ADER-DG with a-posteriori finite-volume limiting to simulate tsunamis in a parallel adaptive mesh refinement framework. Zbl 1410.86006
Rannabauer, Leonhard; Dumbser, Michael; Bader, Michael
2018
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Cited by 32 Authors

6 Toro, Eleuterio Francisco
5 Dumbser, Michael
5 Montecinos, Gino I.
3 Li, Gang
3 Qian, Shouguo
2 Bader, Michael
2 Boscheri, Walter
2 Gaburro, Elena
2 Gao, Jinmei
2 Zhang, Yingjuan
1 Benkhaldoun, Fayssal
1 Castro, Cristóbal E.
1 Chen, Ziming
1 Chiocchetti, Simone
1 Fambri, Francesco
1 Graziani, Carlo
1 Kissami, Imad
1 Lecaros, Rodrigo
1 Lee, Bok Jik
1 Lee, Dongwook
1 Li, Jiaojiao
1 López-Ríos, Juan C.
1 Müller, Lucas Omar
1 Ortega, Jaime H.
1 Rannabauer, Leonhard
1 Reyes, Adam
1 Seaïd, Mohammed
1 Semplice, Matteo
1 Springel, Volker
1 Tavelli, Maurizio
1 Tzeferacos, Petros
1 Weinzierl, Tobias
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Cited in 9 Serials

6 Journal of Computational Physics
3 Computers and Fluids
2 Applied Mathematics and Computation
1 Computers & Mathematics with Applications
1 Journal of Scientific Computing
1 Computational and Applied Mathematics
1 Communications in Computational Physics
1 Advances in Applied Mathematics and Mechanics
1 Axioms
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Cited in 6 Fields

14 Numerical analysis (65-XX)
14 Fluid mechanics (76-XX)
7 Partial differential equations (35-XX)
2 Biology and other natural sciences (92-XX)
1 Mechanics of deformable solids (74-XX)
1 Geophysics (86-XX)

Citations by Year