Universität zu Köln

Preprints, Working Papers or Reports

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.

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.

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

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., 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., 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.

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. 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-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.

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 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.

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.