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

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

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

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

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