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

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.