Universität zu Köln

Beck, Andrea D., Bolemann, Thomas, Flad, David ORCID: 0000-0003-1155-9355, Frank, Hannes, Gassner, Gregor J., Hindenlang, Florian and Munz, Claus-Dieter (2014). RESEARCH PAPER PRESENTED AT ANADE 2013: ADVANCES IN NUMERICAL AND ANALYTICAL TOOLS FOR DETACHED FLOW PREDICTION. Int. J. Numer. Methods Fluids, 76 (8). S. 522 - 549. HOBOKEN: WILEY-BLACKWELL. ISSN 1097-0363

Beck, Andrea D., Flad, David G., Tonhaeuser, Claudia, Gassner, Gregor J. ORCID: 0000-0002-1752-1158 and Munz, Claus-Dieter (2016). On the Influence of Polynomial De-aliasing on Subgrid Scale Models. Flow Turbul. Combust., 97 (2). S. 475 - 512. DORDRECHT: SPRINGER. ISSN 1573-1987

Birken, Philipp, Gassner, Gregor J. and Versbach, Lea M. (2019). Subcell finite volume multigrid preconditioning for high-order discontinuous Galerkin methods. Int. J. Comput. Fluid Dyn., 33 (9). S. 353 - 362. ABINGDON: TAYLOR & FRANCIS LTD. ISSN 1029-0257

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.

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.

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

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

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

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

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

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, 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.

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. (2014). A kinetic energy preserving nodal discontinuous Galerkin spectral element method. Int. J. Numer. Methods Fluids, 76 (1). S. 28 - 51. HOBOKEN: WILEY-BLACKWELL. ISSN 1097-0363

Gassner, Gregor J., Svard, Magnus and Hindenlang, Florian J. (2022). Stability Issues of Entropy-Stable and/or Split-form High-order Schemes Analysis of Linear Stability. J. Sci. Comput., 90 (3). NEW YORK: SPRINGER/PLENUM PUBLISHERS. ISSN 1573-7691

Gassner, Gregor J., Svärd, Magnus and Hindenlang, Florian J. (2020). Stability issues of entropy-stable and/or split-form high-order schemes -- Analysis of local linear stability. Technical Report.

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

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. (2019). The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations. Technical Report.

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

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

Hennemann, Sebastian, Rueda-Ramirez, Andres M., Hindenlang, Florian J. and Gassner, Gregor J. (2021). A provably entropy stable subcell shock capturing approach for high order split form DG for the compressible Euler equations. J. Comput. Phys., 426. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2716

Kopriva, David A. and Gassner, Gregor J. (2014). AN ENERGY STABLE DISCONTINUOUS GALERKIN SPECTRAL ELEMENT DISCRETIZATION FOR VARIABLE COEFFICIENT ADVECTION PROBLEMS. SIAM J. Sci. Comput., 36 (4). S. A2076 - 24. PHILADELPHIA: SIAM PUBLICATIONS. ISSN 1095-7197

Kopriva, David A. and Gassner, Gregor J. (2016). Geometry effects in nodal discontinuous Galerkin methods on curved elements that are provably stable. Appl. Math. Comput., 272. S. 274 - 291. NEW YORK: ELSEVIER SCIENCE INC. ISSN 1873-5649

Kopriva, David A. and Gassner, Gregor J. ORCID: 0000-0002-1752-1158 (2021). A Split-Form, Stable CG/DG-SEM for Wave Propagation Modeled by Linear Hyperbolic Systems. Technical Report.

Kopriva, David A. and Gassner, Gregor J. (2021). A Split-form, Stable CG/DG-SEM for Wave Propagation Modeled by Linear Hyperbolic Systems. J. Sci. Comput., 89 (1). NEW YORK: SPRINGER/PLENUM PUBLISHERS. ISSN 1573-7691

Kopriva, David A., Gassner, Gregor J. and Nordstrom, Jan (2022). On the theoretical foundation of overset grid methods for hyperbolic problems II: Entropy bounded formulations for nonlinear conservation laws. J. Comput. Phys., 471. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2716

Kopriva, David A., Gassner, Gregor J. and Nordstrom, Jan ORCID: 0000-0002-7972-6183 (2021). Stability of Discontinuous Galerkin Spectral Element Schemes for Wave Propagation when the Coefficient Matrices have Jumps. J. Sci. Comput., 88 (1). NEW YORK: SPRINGER/PLENUM PUBLISHERS. ISSN 1573-7691

Kopriva, David A., Gassner, Gregor J. ORCID: 0000-0002-1752-1158 and Nordström, Jan (2020). Stability of Discontinuous Galerkin Spectral Element Schemes for Wave Propagation when the Coefficient Matrices have Jumps. Technical Report.

Kopriva, David A. ORCID: 0000-0002-7416-6551, Hindenlang, Florian J., Bolemann, Thomas and Gassner, Gregor J. (2019). Free-Stream Preservation for Curved Geometrically Non-conforming Discontinuous Galerkin Spectral Elements. J. Sci. Comput., 79 (3). S. 1389 - 1409. NEW YORK: SPRINGER/PLENUM PUBLISHERS. ISSN 1573-7691

Kopriva, David A., Nordstrom, Jan ORCID: 0000-0002-7972-6183 and Gassner, Gregor J. (2017). Error Boundedness of Discontinuous Galerkin Spectral Element Approximations of Hyperbolic Problems. J. Sci. Comput., 72 (1). S. 314 - 331. NEW YORK: SPRINGER/PLENUM PUBLISHERS. ISSN 1573-7691

Kopriva, David A., Nordstrom, Jan ORCID: 0000-0002-7972-6183 and Gassner, Gregor J. ORCID: 0000-0002-1752-1158 (2021). On the Theoretical Foundation of Overset Grid Methods for Hyperbolic Problems: Well-Posedness and Conservation. Technical Report.

Kopriva, David A., Nordstrom, Jan ORCID: 0000-0002-7972-6183 and Gassner, Gregor J. (2022). On the theoretical foundation of overset grid methods for hyperbolic problems: Well-posedness and conservation. J. Comput. Phys., 448. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2716

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

Markert, Johannes, Gassner, Gregor J. ORCID: 0000-0002-1752-1158 and Walch, Stefanie ORCID: 0000-0001-6941-7638 (2020). A Sub-Element Adaptive Shock Capturing Approach for Discontinuous Galerkin Methods. Technical Report.

Ranocha, Hendrik ORCID: 0000-0002-3456-2277 and Gassner, Gregor J. . Preventing Pressure Oscillations Does Not Fix Local Linear Stability Issues of Entropy-Based Split-Form High-Order Schemes. Commun. Appl. Math. Comput.. LONDON: SPRINGERNATURE. ISSN 2661-8893

Ranocha, Hendrik ORCID: 0000-0002-3456-2277 and Gassner, Gregor J. ORCID: 0000-0002-1752-1158 (2020). Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes. Technical Report.

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-Ramirez, Andres M., Pazner, Will and Gassner, Gregor J. (2022). Subcell limiting strategies for discontinuous Galerkin spectral element methods. Comput. Fluids, 247. OXFORD: PERGAMON-ELSEVIER SCIENCE LTD. ISSN 1879-0747

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., Gassner, Gregor J. and Ranocha, Hendrik (2020). A purely hyperbolic discontinuous Galerkin approach for self- gravitating gas dynamics. 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

Schnuecke, Gero, Krais, Nico, Bolemann, Thomas and Gassner, Gregor J. (2020). Entropy Stable Discontinuous Galerkin Schemes on Moving Meshes for Hyperbolic Conservation Laws. J. Sci. Comput., 82 (3). NEW YORK: SPRINGER/PLENUM PUBLISHERS. ISSN 1573-7691

Schnücke, Gero, Krais, Nico, Bolemann, Thomas and Gassner, Gregor J. (2019). Entropy Stable Discontinuous Galerkin Schemes on Moving Meshes with Summation-by-Parts Property for Hyperbolic Conservation Laws. Technical Report.

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

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., 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., 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

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

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

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

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.

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