Universität zu Köln

2021

Gassner, Gregor J. and Winters, Andrew R. (2021). A Novel Robust Strategy for Discontinuous Galerkin Methods in Computational Fluid Mechanics: Why? When? What? Where? Front. Physics, 8. LAUSANNE: FRONTIERS MEDIA SA. ISSN 2296-424X

Rueda-Ramirez, Andres M., Hennemann, Sebastian, Hindenlang, Florian J., Winters, Andrew R. and Gassner, Gregor J. (2021). An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part II: Subcell finite volume shock capturing. J. Comput. Phys., 444. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2716

Rueda-Ramírez, Andrés M. ORCID: 0000-0001-6557-9162, Hennemann, Sebastian, Hindenlang, Florian J. ORCID: 0000-0002-0439-249X, Winters, Andrew R. ORCID: 0000-0002-5902-1522 and Gassner, Gregor J. ORCID: 0000-0002-1752-1158 (2021). An Entropy Stable Nodal Discontinuous Galerkin Method for the resistive MHD Equations. Part II: Subcell Finite Volume Shock Capturing. Technical Report.

Schlottke-Lakemper, Michael, Winters, Andrew R., Ranocha, Hendrik ORCID: 0000-0002-3456-2277 and Gassner, Gregor J. (2021). A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics. J. Comput. Phys., 442. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2716

2020

Bohm, Marvin, Winters, Andrew R., Gassner, Gregor J., Derigs, Dominik, Hindenlang, Florian and Saur, Joachim (2020). An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part I: Theory and numerical verification. J. Comput. Phys., 422. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2716

Del Rey Fernandez, David C., Carpenter, Mark H., Dalcin, Lisandro, Friedrich, Lucas, Winters, Andrew R., Gassner, Gregor J. and Parsani, Matteo (2020). Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Navier-Stokes Equations. Technical Report.

Fernandez, David C. Del Rey, Carpenter, Mark H., Dalcin, Lisandro, Fredrich, Lucas, Winters, Andrew R., Gassner, Gregor J. and Parsani, Matteo ORCID: 0000-0001-7300-1280 (2020). Entropy-stable p-nonconforming discretizations with the summation-by-parts property for the compressible Navier-Stokes equations. Comput. Fluids, 210. OXFORD: PERGAMON-ELSEVIER SCIENCE LTD. ISSN 1879-0747

Schlottke-Lakemper, Michael, Winters, Andrew R., Gassner, Gregor J. and Ranocha, Hendrik (2020). A purely hyperbolic discontinuous Galerkin approach for self- gravitating gas dynamics. Technical Report.

Winters, Andrew R., Czernik, Christof, Schily, Moritz B. and Gassner, Gregor J. (2020). Entropy stable numerical approximations for the isothermal and polytropic Euler equations. Bit, 60 (3). S. 791 - 825. DORDRECHT: SPRINGER. ISSN 1572-9125

2019

Bohm, Marvin, Schermeng, Sven, Winters, Andrew R., Gassner, Gregor J. and Jacobs, Gustaaf B. (2019). Multi-element SIAC Filter for Shock Capturing Applied to High-Order Discontinuous Galerkin Spectral Element Methods. J. Sci. Comput., 81 (2). S. 820 - 845. NEW YORK: SPRINGER/PLENUM PUBLISHERS. ISSN 1573-7691

Bohm, Marvin, Schermeng, Sven, Winters, Andrew R., Gassner, Gregor J. and Jacobs, Gustaaf B. (2019). Multi-element SIAC filter for shock capturing applied to high-order discontinuous Galerkin spectral element methods. Technical Report.

Bohm, Marvin, Winters, Andrew R., Gassner, Gregor J., Derigs, Dominik ORCID: 0000-0002-9687-2035, Hindenlang, Florian and Saur, Joachim (2019). An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part I: Theory and Numerical Verification. Technical Report.

Derigs, Dominik, Gassner, Gregor J., Walch, Stefanie and Winters, Andrew R. (2019). Entropy Stable Finite Volume Approximations for Ideal Magnetohydrodynamics. Technical Report.

Friedrich, Lucas, Schnuecke, Gero, Winters, Andrew R., Fernandez, David C. Del Rey, Gassner, Gregor J. and Carpenter, Mark H. (2019). Entropy Stable Space-Time Discontinuous Galerkin Schemes with Summation-by-Parts Property for Hyperbolic Conservation Laws. J. Sci. Comput., 80 (1). S. 175 - 223. NEW YORK: SPRINGER/PLENUM PUBLISHERS. ISSN 1573-7691

Friedrich, Lucas, Schnücke, Gero, Winters, Andrew R., Del Rey Fernandez, David C., Gassner, Gregor J. and Carpenter, Mark H. (2019). Entropy Stable Space-Time Discontinuous Galerkin Schemes with Summation-by-Parts Property for Hyperbolic Conservation Laws. Technical Report.

Friedrich, Lucas, Winters, Andrew R., Del Rey Fernandez, David C., Gassner, Gregor J., Parsani, Matteo and Carpenter, Mark H. (2019). An Entropy Stable h/p Non-Conforming Discontinuous Galerkin Method with the Summation-by-Parts Property. Technical Report.

Gassner, Gregor J., Winters, Andrew R., Hindenlang, Florian J. and Kopriva, David A. (2019). The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations. Technical Report.

Winters, Andrew R., Czernik, Christof, Schily, Moritz B. and Gassner, Gregor J. (2019). Entropy stable numerical approximations for the isothermal and polytropic Euler equations. Technical Report.

Winters, Andrew R., Moura, Rodrigo C., Mengaldo, Gianmarco, Gassner, Gregor J., Walch, Stefanie, Peiro, Joaquim and Sherwin, Spencer J. (2019). A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations. Technical Report.

2018

Derigs, Dominik, Winters, Andrew R., Gassner, Gregor J., Walch, Stefanie and Bohm, Marvin (2018). Ideal GLM-MHD: About the entropy consistent nine-wave magnetic field divergence diminishing ideal magnetohydrodynamics equations. J. Comput. Phys., 364. S. 420 - 468. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2716

Friedrich, Lucas, Fernandez, David C. Del Rey, Winters, Andrew R., Gassner, Gregor J., Zingg, David W. and Hicken, Jason (2018). Conservative and Stable Degree Preserving SBP Operators for Non-conforming Meshes. J. Sci. Comput., 75 (2). S. 657 - 687. NEW YORK: SPRINGER/PLENUM PUBLISHERS. ISSN 1573-7691

Friedrich, Lucas, Winters, Andrew R., Fernandez, David C. Del Rey, Gassner, Gregor J., Parsani, Matteo ORCID: 0000-0001-7300-1280 and Carpenter, Mark H. (2018). An Entropy Stable h/p Non-Conforming Discontinuous Galerkin Method with the Summation-by-Parts Property. J. Sci. Comput., 77 (2). S. 689 - 726. NEW YORK: SPRINGER/PLENUM PUBLISHERS. ISSN 1573-7691

Gassner, Gregor J., Winters, Andrew R., Hindenlang, Florian J. and Kopriva, David A. (2018). The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations (vol 77, pg 154, 2018). J. Sci. Comput., 77 (1). S. 201 - 204. NEW YORK: SPRINGER/PLENUM PUBLISHERS. ISSN 1573-7691

Gassner, Gregor J., Winters, Andrew R., Hindenlang, Florian J. and Kopriva, David A. (2018). The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations. J. Sci. Comput., 77 (1). S. 154 - 201. NEW YORK: SPRINGER/PLENUM PUBLISHERS. ISSN 1573-7691

Wintermeyer, Niklas, Winters, Andrew R., Gassner, Gregor J. and Warburton, Timothy (2018). An entropy stable discontinuous Galerkin method for the shallow water equations on curvilinear meshes with wet/dry fronts accelerated by GPUs. Technical Report.

Wintermeyer, Niklas, Winters, Andrew R., Gassner, Gregor J. and Warburton, Timothy (2018). An entropy stable discontinuous Galerkin method for the shallow water equations on curvilinear meshes with wet/dry fronts accelerated by GPUs. J. Comput. Phys., 375. S. 447 - 481. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2716

Winters, Andrew R., Moura, Rodrigo C., Mengaldo, Gianmarco ORCID: 0000-0002-0157-5477, Gassner, Gregor J., Walch, Stefanie, Peiro, Joaquim ORCID: 0000-0001-8859-4912 and Sherwin, Spencer J. (2018). A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations. J. Comput. Phys., 372. S. 1 - 22. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2716

2017

Derigs, Dominik ORCID: 0000-0002-9687-2035, Winters, Andrew R., Gassner, Gregor J. and Walch, Stefanie (2017). A novel averaging technique for discrete entropy-stable dissipation operators for ideal MHD. J. Comput. Phys., 330. S. 624 - 633. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2716

Schmidtmann, Birte and Winters, Andrew R. (2017). Hybrid entropy stable HLL-type Riemann solvers for hyperbolic conservation laws. J. Comput. Phys., 330. S. 566 - 571. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2716

Wintermeyer, Niklas, Winters, Andrew R., Gassner, Gregor J. and Kopriva, David A. (2017). An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry. J. Comput. Phys., 340. S. 200 - 243. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2716

Winters, Andrew R., Derigs, Dominik ORCID: 0000-0002-9687-2035, Gassner, Gregor J. and Walch, Stefanie (2017). A uniquely defined entropy stable matrix dissipation operator for high Mach number ideal MHD and compressible Euler simulations. J. Comput. Phys., 332. S. 274 - 290. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2716

2016

Derigs, Dominik ORCID: 0000-0002-9687-2035, Winters, Andrew R., Gassner, Gregor J. and Walch, Stefanie (2016). A novel high-order, entropy stable, 3D AMR MHD solver with guaranteed positive pressure. J. Comput. Phys., 317. S. 223 - 257. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2716

Gassner, Gregor J., Winters, Andrew R. and Kopriva, David A. (2016). Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations. J. Comput. Phys., 327. S. 39 - 67. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2716

Gassner, Gregor J., Winters, Andrew R. and Kopriva, David A. (2016). A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations. Appl. Math. Comput., 272. S. 291 - 309. NEW YORK: ELSEVIER SCIENCE INC. ISSN 1873-5649

Kopriva, David A., Winters, Andrew R., Bohm, Marvin and Gassner, Gregor J. (2016). A provably stable discontinuous Galerkin spectral element approximation for moving hexahedral meshes. Comput. Fluids, 139. S. 148 - 161. OXFORD: PERGAMON-ELSEVIER SCIENCE LTD. ISSN 1879-0747

Winters, Andrew R. and Gassner, Gregor J. (2016). Affordable, entropy conserving and entropy stable flux functions for the ideal MHD equations. J. Comput. Phys., 304. S. 72 - 109. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2716

Winters, Andrew R. and Gassner, Gregor J. (2016). An Entropy Stable Finite Volume Scheme for the Equations of Shallow Water Magnetohydrodynamics. J. Sci. Comput., 67 (2). S. 514 - 540. NEW YORK: SPRINGER/PLENUM PUBLISHERS. ISSN 1573-7691

2015

Winters, Andrew R. and Gassner, Gregor J. (2015). A comparison of two entropy stable discontinuous Galerkin spectral element approximations for the shallow water equations with non-constant topography. J. Comput. Phys., 301. S. 357 - 377. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2716