Search Results - "Gassner, Gregor J."

A kinetic energy preserving nodal discontinuous Galerkin spectral element method by Gassner, Gregor J.

“…SUMMARYIn this work, we discuss the construction of a skew‐symmetric discontinuous Galerkin (DG) collocation spectral element approximation for the…”
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A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations by Winters, Andrew R., Moura, Rodrigo C., Mengaldo, Gianmarco, Gassner, Gregor J., Walch, Stefanie, Peiro, Joaquim, Sherwin, Spencer J.

“…This work focuses on the accuracy and stability of high-order nodal discontinuous Galerkin (DG) methods for under-resolved turbulence computations. In…”
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On the accuracy of high-order discretizations for underresolved turbulence simulations by Gassner, Gregor J., Beck, Andrea D.

“…In this paper, we investigate the accuracy of a high-order discontinuous Galerkin discretization for the coarse resolution simulation of turbulent flow. We…”
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High-order discontinuous Galerkin spectral element methods for transitional and turbulent flow simulations by Beck, Andrea D., Bolemann, Thomas, Flad, David, Frank, Hannes, Gassner, Gregor J., Hindenlang, Florian, Munz, Claus-Dieter

“…SUMMARYIn this paper, we investigate the accuracy and efficiency of discontinuous Galerkin spectral method simulations of under‐resolved transitional and…”
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Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations by Gassner, Gregor J., Winters, Andrew R., Kopriva, David A.

“…Fisher and Carpenter (2013) [12] found a remarkable equivalence of general diagonal norm high-order summation-by-parts operators to a subcell based high-order…”
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A provably entropy stable subcell shock capturing approach for high order split form DG for the compressible Euler equations by Hennemann, Sebastian, Rueda-Ramírez, Andrés M., Hindenlang, Florian J., Gassner, Gregor J.

“…•Provably entropy stable subcell shock capturing for DGSEM.•Curvilinear hexahedral meshes.•Seamless blending between high and low order operator. The main…”
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Affordable, entropy conserving and entropy stable flux functions for the ideal MHD equations by Winters, Andrew R., Gassner, Gregor J.

“…In this work, we design an entropy stable, finite volume approximation for the ideal magnetohydrodynamics (MHD) equations. The method is novel as we design an…”
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A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics by Schlottke-Lakemper, Michael, Winters, Andrew R., Ranocha, Hendrik, Gassner, Gregor J.

“…•A purely hyperbolic approach for self-gravitating gas dynamics.•Solve elliptic equation in pseudotime as a hyperbolic system.•Two-way coupled simulations of…”
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A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations by Gassner, Gregor J., Winters, Andrew R., Kopriva, David A.

“…In this work, we design an arbitrary high order accurate nodal discontinuous Galerkin spectral element type method for the one dimensional shallow water…”
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An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry by Wintermeyer, Niklas, Winters, Andrew R., Gassner, Gregor J., Kopriva, David A.

“…We design an arbitrary high-order accurate nodal discontinuous Galerkin spectral element approximation for the non-linear two dimensional shallow water…”
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Many-Stage Optimal Stabilized Runge–Kutta Methods for Hyperbolic Partial Differential Equations by Doehring, Daniel, Gassner, Gregor J., Torrilhon, Manuel

“…A novel optimization procedure for the generation of stability polynomials of stabilized explicit Runge–Kutta methods is devised. Intended for…”
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An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part I: Theory and numerical verification by Bohm, Marvin, Winters, Andrew R., Gassner, Gregor J., Derigs, Dominik, Hindenlang, Florian, Saur, Joachim

“…The first paper of this series presents a discretely entropy stable discontinuous Galerkin (DG) method for the resistive magnetohydrodynamics (MHD) equations…”
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Ideal GLM-MHD: About the entropy consistent nine-wave magnetic field divergence diminishing ideal magnetohydrodynamics equations by Derigs, Dominik, Winters, Andrew R., Gassner, Gregor J., Walch, Stefanie, Bohm, Marvin

“…•We derive a new mathematical model, the ideal GLM-MHD equations.•The new system is intrinsically magnetic field divergence diminishing.•We derive an entropy…”
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The BR1 Scheme is Stable for the Compressible Navier–Stokes Equations by Gassner, Gregor J., Winters, Andrew R., Hindenlang, Florian J., Kopriva, David A.

“…In this work we prove that the original (Bassi and Rebay in J Comput Phys 131:267–279, 1997 ) scheme (BR1) for the discretization of second order viscous terms…”
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An entropy stable discontinuous Galerkin method for the shallow water equations on curvilinear meshes with wet/dry fronts accelerated by GPUs by Wintermeyer, Niklas, Winters, Andrew R., Gassner, Gregor J., Warburton, Timothy

“…We extend the entropy stable high order nodal discontinuous Galerkin spectral element approximation for the non-linear two dimensional shallow water equations…”
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A uniquely defined entropy stable matrix dissipation operator for high Mach number ideal MHD and compressible Euler simulations by Winters, Andrew R., Derigs, Dominik, Gassner, Gregor J., Walch, Stefanie

“…We describe a unique averaging procedure to design an entropy stable dissipation operator for the ideal magnetohydrodynamic (MHD) and compressible Euler…”
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On the theoretical foundation of overset grid methods for hyperbolic problems: Well-posedness and conservation by Kopriva, David A., Nordström, Jan, Gassner, Gregor J.

“…We use the energy method to study the well-posedness of initial-boundary value problems approximated by overset mesh methods in one and two space dimensions…”
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Split form ALE discontinuous Galerkin methods with applications to under-resolved turbulent low-Mach number flows by Krais, Nico, Schnücke, Gero, Bolemann, Thomas, Gassner, Gregor J.

“…The construction of discontinuous Galerkin (DG) methods for the compressible Euler or Navier-Stokes equations (NSE) includes the approximation of non-linear…”
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On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws by Ranocha, Hendrik, Winters, Andrew R., Schlottke-Lakemper, Michael, Öffner, Philipp, Glaubitz, Jan, Gassner, Gregor J.

“…We use the framework of upwind summation-by-parts (SBP) operators developed by Mattsson (2017, doi:10.1016/j.jcp.2017.01.042) and study different flux vector…”
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Explicit discontinuous Galerkin methods for unsteady problems by Hindenlang, Florian, Gassner, Gregor J., Altmann, Christoph, Beck, Andrea, Staudenmaier, Marc, Munz, Claus-Dieter

“…In this work we consider a special implementation of a discontinuous Galerkin (DG) method for general unstructured hexahedral element meshes called the…”
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