Skip to main content

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

Publications

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
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
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
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
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
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
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
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
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
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
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
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
DOI: 10.1007/s10915-019-01036-8

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


Published in: ISSN 1061-8562
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
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
DOI: 10.1007/s10915-020-01171-7