Optimization and local time stepping of an ader-dg scheme for fully anisotropic wave propagation in complex geometries

Sebastian Wolf; Alice Agnes Gabriel; Michael Bader

doi:10.1007/978-3-030-50420-5_3

Optimization and local time stepping of an ader-dg scheme for fully anisotropic wave propagation in complex geometries

Sebastian Wolf, Alice Agnes Gabriel, Michael Bader

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

9 Scopus citations

Abstract

We present an extension of the earthquake simulation software SeisSol to support seismic wave propagation in fully triclinic anisotropic materials. To our best knowledge, SeisSol is one of the few open-source codes that offer this feature for simulations at petascale performance and beyond. We employ a Discontinuous Galerkin (DG) method with arbitrary high-order derivative (ADER) time stepping. Here, we present a novel implementation of fully physical anisotropy with a two-sided Godunov flux and local time stepping. We validate our implementation on various benchmarks and present convergence analysis with respect to analytic solutions. An application example of seismic waves scattering around the Zugspitze in the Bavarian Alps demonstrates the capabilities of our implementation to solve geophysics problems fast.

Original language	English (US)
Title of host publication	Lecture Notes in Computer Science
Publisher	Springer International Publishing
Pages	32-45
Number of pages	14
ISBN (Print)	9783030504199
DOIs	https://doi.org/10.1007/978-3-030-50420-5_3
State	Published - Jun 15 2020
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2022-06-30
Acknowledged KAUST grant number(s): ORS-2017-CRG6 3389.02
Acknowledgements: The research leading to these results has received funding from European Union Horizon 2020 research and innovation program (ENERXICO, grant agreement No. 828947), KAUST-CRG (FRAGEN, grant no. ORS-2017-CRG6 3389.02) and the European Research Council (TEAR, ERC Starting grant no. 852992). Computing resources were provided by the Leibniz Supercomputing Centre (project no. pr45fi on SuperMUC-NG).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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10.1007/978-3-030-50420-5_3

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title = "Optimization and local time stepping of an ader-dg scheme for fully anisotropic wave propagation in complex geometries",

abstract = "We present an extension of the earthquake simulation software SeisSol to support seismic wave propagation in fully triclinic anisotropic materials. To our best knowledge, SeisSol is one of the few open-source codes that offer this feature for simulations at petascale performance and beyond. We employ a Discontinuous Galerkin (DG) method with arbitrary high-order derivative (ADER) time stepping. Here, we present a novel implementation of fully physical anisotropy with a two-sided Godunov flux and local time stepping. We validate our implementation on various benchmarks and present convergence analysis with respect to analytic solutions. An application example of seismic waves scattering around the Zugspitze in the Bavarian Alps demonstrates the capabilities of our implementation to solve geophysics problems fast.",

author = "Sebastian Wolf and Gabriel, {Alice Agnes} and Michael Bader",

note = "KAUST Repository Item: Exported on 2022-06-30 Acknowledged KAUST grant number(s): ORS-2017-CRG6 3389.02 Acknowledgements: The research leading to these results has received funding from European Union Horizon 2020 research and innovation program (ENERXICO, grant agreement No. 828947), KAUST-CRG (FRAGEN, grant no. ORS-2017-CRG6 3389.02) and the European Research Council (TEAR, ERC Starting grant no. 852992). Computing resources were provided by the Leibniz Supercomputing Centre (project no. pr45fi on SuperMUC-NG). This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

year = "2020",

month = jun,

day = "15",

doi = "10.1007/978-3-030-50420-5_3",

language = "English (US)",

isbn = "9783030504199",

pages = "32--45",

booktitle = "Lecture Notes in Computer Science",

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AU - Wolf, Sebastian

AU - Gabriel, Alice Agnes

AU - Bader, Michael

N1 - KAUST Repository Item: Exported on 2022-06-30 Acknowledged KAUST grant number(s): ORS-2017-CRG6 3389.02 Acknowledgements: The research leading to these results has received funding from European Union Horizon 2020 research and innovation program (ENERXICO, grant agreement No. 828947), KAUST-CRG (FRAGEN, grant no. ORS-2017-CRG6 3389.02) and the European Research Council (TEAR, ERC Starting grant no. 852992). Computing resources were provided by the Leibniz Supercomputing Centre (project no. pr45fi on SuperMUC-NG). This publication acknowledges KAUST support, but has no KAUST affiliated authors.

PY - 2020/6/15

Y1 - 2020/6/15

N2 - We present an extension of the earthquake simulation software SeisSol to support seismic wave propagation in fully triclinic anisotropic materials. To our best knowledge, SeisSol is one of the few open-source codes that offer this feature for simulations at petascale performance and beyond. We employ a Discontinuous Galerkin (DG) method with arbitrary high-order derivative (ADER) time stepping. Here, we present a novel implementation of fully physical anisotropy with a two-sided Godunov flux and local time stepping. We validate our implementation on various benchmarks and present convergence analysis with respect to analytic solutions. An application example of seismic waves scattering around the Zugspitze in the Bavarian Alps demonstrates the capabilities of our implementation to solve geophysics problems fast.

AB - We present an extension of the earthquake simulation software SeisSol to support seismic wave propagation in fully triclinic anisotropic materials. To our best knowledge, SeisSol is one of the few open-source codes that offer this feature for simulations at petascale performance and beyond. We employ a Discontinuous Galerkin (DG) method with arbitrary high-order derivative (ADER) time stepping. Here, we present a novel implementation of fully physical anisotropy with a two-sided Godunov flux and local time stepping. We validate our implementation on various benchmarks and present convergence analysis with respect to analytic solutions. An application example of seismic waves scattering around the Zugspitze in the Bavarian Alps demonstrates the capabilities of our implementation to solve geophysics problems fast.

UR - http://hdl.handle.net/10754/679497

UR - http://link.springer.com/10.1007/978-3-030-50420-5_3

UR - http://www.scopus.com/inward/record.url?scp=85087274573&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-50420-5_3

DO - 10.1007/978-3-030-50420-5_3

M3 - Conference contribution

SN - 9783030504199

SP - 32

EP - 45

BT - Lecture Notes in Computer Science

PB - Springer International Publishing

ER -

Optimization and local time stepping of an ader-dg scheme for fully anisotropic wave propagation in complex geometries

Abstract

Bibliographical note

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