An Exascale aware and Un-crashable Space-Time-Adaptive Discontinuous Spectral Element Solver for Non-Linear Conservation Laws

Project Information

Extreme

Grant agreement ID: 714487

DOI

10.3030/714487

Project closed

EC signature date 21 November 2016

Start date 1 April 2017

End date 31 March 2022

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 495 875,00

EU contribution

€ 1 495 875,00

Coordinated by

UNIVERSITAT ZU KOLN
Germany

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Conference proceedings (2)

Stability of Wall Boundary Condition Procedures for Discontinuous Galerkin Spectral Element Approximations of the Compressible Euler Equations

Author(s): Hindenlang, Florian J.; Gassner, Gregor J.; Kopriva, David A.
Published in: 2020, ISBN 978-3-030-39647-3
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-39647-3_1

A Subcell Finite Volume Positivity-Preserving Limiter for DGSEM Discretizations of the Euler Equations

Author(s): Andrés M. Rueda-Ramírez; Gregor J. Gassner
Published in: Proceedings of 14th WCCM-ECCOMAS Congress, 2021
Publisher: Online
DOI: 10.23967/wccm-eccomas.2020.038

Peer reviewed articles (23)

A provably entropy stable subcell shock capturing approach for high order split form DG for the compressible Euler equations

Author(s): Sebastian Hennemann; Andrés M. Rueda-Ramírez; Florian Hindenlang; Gregor J. Gassner
Published in: Journal of Computational Physics, Issue 426, 2021, ISSN 0021-9991
Publisher: Academic Press
DOI: 10.1016/j.jcp.2020.109935

Preventing Pressure Oscillations Does Not Fix Local Linear Stability Issues of Entropy-Based Split-Form High-Order Schemes

Author(s): Hendrik Ranocha; Gregor J. Gassner
Published in: Communications on Applied Mathematics and Computation, 2021, ISSN 2661-8893
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/s42967-021-00148-z

A Novel Robust Strategy for Discontinuous Galerkin Methods in Computational Fluid Mechanics: Why? When? What? Where?

Author(s): Gregor J. Gassner; Andrew R. Winters
Published in: Frontiers in Physics, Issue Vol 8, 2021, ISSN 2296-424X
Publisher: Frontiers
DOI: 10.3389/fphy.2020.500690

Stability Issues of Entropy-Stable and/or Split-form High-order Schemes

Author(s): Gassner, Gregor J.; Svärd, Magnus; Hindenlang, Florian J.
Published in: Journal of Scientific Computing, Issue volume 90, number 3, 2022, ISSN 0885-7474
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10915-021-01720-8

Entropy-stable p-nonconforming discretizations with the summation-by-parts property for the compressible Navier–Stokes equations

Author(s): David C. Del Rey Fernández; David C. Del Rey Fernández; Mark H. Carpenter; Lisandro Dalcin; Lucas Fredrich; Andrew R. Winters; Gregor J. Gassner; Matteo Parsani
Published in: Computers & Fluids, Issue 210, 2020, ISSN 0045-7930
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.compfluid.2020.104631

Ideal GLM-MHD: About the entropy consistent nine-wave magnetic field divergence diminishing ideal magnetohydrodynamics equations

Author(s): Dominik Derigs, Andrew R. Winters, Gregor J. Gassner, Stefanie Walch, Marvin Bohm
Published in: Journal of Computational Physics, Issue 364, 2018, Page(s) 420-467, ISSN 0021-9991
Publisher: Academic Press
DOI: 10.1016/j.jcp.2018.03.002

On the use of kinetic energy preserving DG-schemes for large eddy simulation

Author(s): David Flad, Gregor Gassner
Published in: Journal of Computational Physics, Issue 350, 2017, Page(s) 782-795, ISSN 0021-9991
Publisher: Academic Press
DOI: 10.1016/j.jcp.2017.09.004

An Entropy Stable h / p Non-Conforming Discontinuous Galerkin Method with the Summation-by-Parts Property

Author(s): Lucas Friedrich, Andrew R. Winters, David C. Del Rey Fernández, Gregor J. Gassner, Matteo Parsani, Mark H. Carpenter
Published in: Journal of Scientific Computing, Issue 77/2, 2018, Page(s) 689-725, ISSN 0885-7474
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10915-018-0733-7

Correction to: The BR1 Scheme is Stable for the Compressible Navier–Stokes Equations

Author(s): Gregor J. Gassner, Andrew R. Winters, Florian J. Hindenlang, David A. Kopriva
Published in: Journal of Scientific Computing, Issue 77/1, 2018, Page(s) 201-203, ISSN 0885-7474
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10915-018-0758-y

A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations

Author(s): Andrew R. Winters, Rodrigo C. Moura, Gianmarco Mengaldo, Gregor J. Gassner, Stefanie Walch, Joaquim Peiro, Spencer J. Sherwin
Published in: Journal of Computational Physics, Issue 372, 2018, Page(s) 1-21, ISSN 0021-9991
Publisher: Academic Press
DOI: 10.1016/j.jcp.2018.06.016

An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part I: Theory and numerical verification

Author(s): Marvin Bohm, Andrew R. Winters, Gregor J. Gassner, Dominik Derigs, Florian Hindenlang, Joachim Saur
Published in: Journal of Computational Physics, 2018, ISSN 0021-9991
Publisher: Academic Press
DOI: 10.1016/j.jcp.2018.06.027

An entropy stable discontinuous Galerkin method for the shallow water equations on curvilinear meshes with wet/dry fronts accelerated by GPUs

Author(s): Niklas Wintermeyer, Andrew R. Winters, Gregor J. Gassner, Timothy Warburton
Published in: Journal of Computational Physics, Issue 375, 2018, Page(s) 447-480, ISSN 0021-9991
Publisher: Academic Press
DOI: 10.1016/j.jcp.2018.08.038

Entropy Stable Finite Volume Approximations for Ideal Magnetohydrodynamics

Author(s): Dominik Derigs, Gregor J. Gassner, Stefanie Walch, Andrew R. Winters
Published in: Jahresbericht der Deutschen Mathematiker-Vereinigung, Issue 120/3, 2018, Page(s) 153-219, ISSN 0012-0456
Publisher: Springer Verlag
DOI: 10.1365/s13291-018-0178-9

Entropy Stable Space–Time Discontinuous Galerkin Schemes with Summation-by-Parts Property for Hyperbolic Conservation Laws

Author(s): Lucas Friedrich, Gero Schnücke, Andrew R. Winters, David C. Del Rey Fernández, Gregor J. Gassner, Mark H. Carpenter
Published in: Journal of Scientific Computing, Issue 80/1, 2019, Page(s) 175-222, ISSN 0885-7474
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10915-019-00933-2

Free-Stream Preservation for Curved Geometrically Non-conforming Discontinuous Galerkin Spectral Elements

Author(s): David A. Kopriva, Florian J. Hindenlang, Thomas Bolemann, Gregor J. Gassner
Published in: Journal of Scientific Computing, Issue 79/3, 2019, Page(s) 1389-1408, ISSN 0885-7474
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10915-018-00897-9

Entropy stable numerical approximations for the isothermal and polytropic Euler equations

Author(s): Andrew R. Winters,Christof Czernik,Moritz B. Schily,Gregor J. Gassner
Published in: BIT Numerical Mathematics, 2019, ISSN 1572-9125
Publisher: Springer Netherlands
DOI: 10.1007/s10543-019-00789-w

Multi-element SIAC Filter for Shock Capturing Applied to High-Order Discontinuous Galerkin Spectral Element Methods

Author(s): Marvin Bohm, Sven Schermeng, Andrew R. Winters, Gregor J. Gassner, Gustaaf B. Jacobs
Published in: Journal of Scientific Computing, Issue 81/2, 2019, Page(s) 820-844, ISSN 0885-7474
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10915-019-01036-8

Subcell finite volume multigrid preconditioning for high-order discontinuous Galerkin methods

Author(s): Philipp Birken, Gregor J. Gassner, Lea M. Versbach
Published in: International Journal of Computational Fluid Dynamics, Issue 33/9, 2019, Page(s) 353-361, ISSN 1061-8562
Publisher: Taylor & Francis
DOI: 10.1080/10618562.2019.1667983

The BR1 Scheme is Stable for the Compressible Navier–Stokes Equations

Author(s): Gregor J. Gassner, Andrew R. Winters, Florian J. Hindenlang, David A. Kopriva
Published in: Journal of Scientific Computing, Issue 77/1, 2018, Page(s) 154-200, ISSN 0885-7474
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10915-018-0702-1

Entropy Stable Discontinuous Galerkin Schemes on Moving Meshes for Hyperbolic Conservation Laws

Author(s): Gero Schnücke, Nico Krais, Thomas Bolemann, Gregor J. Gassner
Published in: Journal of Scientific Computing, Issue 82/3, 2020, ISSN 0885-7474
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10915-020-01171-7

FLEXI: A high order discontinuous Galerkin framework for hyperbolic–parabolic conservation laws

Author(s): Nico Krais; Andrea Beck; Thomas Bolemann; Hannes Frank; David Flad; Gregor J. Gassner; Florian Hindenlang; Malte Hoffmann; Thomas Kuhn; Matthias Sonntag; Claus-Dieter Munz
Published in: Computers and Mathematics with Applications, Issue 81, 2021, ISSN 0898-1221
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.camwa.2020.05.004

Split form ALE discontinuous Galerkin methods with applications to under-resolved turbulent low-Mach number flows

Author(s): Nico Krais; Gero Schnücke; Thomas Bolemann; Gregor J. Gassner
Published in: Journal of Computational Physics, Issue 421, 2020, ISSN 0021-9991
Publisher: Academic Press
DOI: 10.1016/j.jcp.2020.109726

An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part II: Subcell finite volume shock capturing

Author(s): Andrés M. Rueda-Ramírez; Sebastian Hennemann; Florian J. Hindenlang; Andrew R. Winters; Gregor J. Gassner
Published in: Journal of Computational Physics, Issue 444, 2021, ISSN 0021-9991
Publisher: Academic Press
DOI: 10.1016/j.jcp.2021.110580

Book chapters (1)

On the Order Reduction of Entropy Stable DGSEM for the Compressible Euler Equations

Author(s): Florian Hindenlang; Gregor J. Gassner
Published in: Lecture Notes in Computational Science and Engineering ISBN: 9783030396466, 2020
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-39647-3_2