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ORCIDAndrew R. Winters
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2020 – today
- 2025
[j31]Hendrik Ranocha
, Andrew R. Winters, Michael Schlottke-Lakemper, Philipp Öffner, Jan Glaubitz, Gregor J. Gassner:
On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws. J. Comput. Phys. 520: 113471 (2025)- [j30]David A. Kopriva, Andrew R. Winters, Jan Nordström:
Energy bounds for discontinuous Galerkin spectral element approximations of well-posed overset grid problems for hyperbolic systems. J. Comput. Phys. 520: 113508 (2025) - 2024
- [j29]Tomas Lundquist, Andrew R. Winters, Jan Nordström:
Encapsulated generalized summation-by-parts formulations for curvilinear and non-conforming meshes. J. Comput. Phys. 498: 112699 (2024) - [j28]Patrick Ersing, Andrew R. Winters:
An Entropy Stable Discontinuous Galerkin Method for the Two-Layer Shallow Water Equations on Curvilinear Meshes. J. Sci. Comput. 98(3): 62 (2024) - [i18]David A. Kopriva, Andrew R. Winters, Jan Nordström:
Energy Bounds for Discontinuous Galerkin Spectral Element Approximations of Well-Posed Overset Grid Problems for Hyperbolic Systems. CoRR abs/2405.04668 (2024) - [i17]Patrick Ersing, Sven Goldberg, Andrew R. Winters:
Entropy stable hydrostatic reconstruction schemes for shallow water systems. CoRR abs/2406.14119 (2024) - [i16]Jan Glaubitz, Hendrik Ranocha, Andrew R. Winters, Michael Schlottke-Lakemper, Philipp Öffner, Gregor Gassner:
Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods. CoRR abs/2406.14557 (2024) - 2023
- [j27]Hendrik Ranocha, Michael Schlottke-Lakemper, Jesse Chan, Andrés M. Rueda-Ramírez, Andrew R. Winters, Florian Hindenlang, Gregor J. Gassner:
Efficient Implementation of Modern Entropy Stable and Kinetic Energy Preserving Discontinuous Galerkin Methods for Conservation Laws. ACM Trans. Math. Softw. 49(4): 37:1-37:30 (2023) - [i15]Tomas Lundquist, Andrew R. Winters, Jan Nordström:
Encapsulated generalized summation-by-parts formulations for curvilinear and non-conforming meshes. CoRR abs/2305.18195 (2023) - [i14]Patrick Ersing, Andrew R. Winters:
An entropy stable discontinuous Galerkin method for the two-layer shallow water equations on curvilinear meshes. CoRR abs/2306.12699 (2023) - [i13]Hendrik Ranocha, Andrew R. Winters, Michael Schlottke-Lakemper, Philipp Öffner, Jan Glaubitz, Gregor J. Gassner:
High-order upwind summation-by-parts methods for nonlinear conservation laws. CoRR abs/2311.13888 (2023) - 2022
- [j26]Jan Nordström, Andrew R. Winters:
A linear and nonlinear analysis of the shallow water equations and its impact on boundary conditions. J. Comput. Phys. 463: 111254 (2022) - [i12]Hendrik Ranocha, Andrew R. Winters, Hugo Guillermo Castro, Lisandro Dalcín, Michael Schlottke-Lakemper, Gregor J. Gassner, Matteo Parsani:
On error-based step size control for discontinuous Galerkin methods for compressible fluid dynamics. CoRR abs/2209.07037 (2022) - 2021
- [j25]Michael Schlottke-Lakemper, Andrew R. Winters, Hendrik Ranocha, Gregor J. Gassner:
A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics. J. Comput. Phys. 442: 110467 (2021) - [j24]Andrés M. Rueda-Ramírez, Sebastian Hennemann, Florian J. Hindenlang, Andrew R. Winters, Gregor J. Gassner:
An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part II: Subcell finite volume shock capturing. J. Comput. Phys. 444: 110580 (2021) - [j23]Jan Nordström, Andrew R. Winters:
Stable Filtering Procedures for Nodal Discontinuous Galerkin Methods. J. Sci. Comput. 87(1): 17 (2021) - [i11]Hendrik Ranocha, Michael Schlottke-Lakemper, Andrew R. Winters, Erik Faulhaber, Jesse Chan, Gregor J. Gassner:
Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing. CoRR abs/2108.06476 (2021) - [i10]Hendrik Ranocha, Michael Schlottke-Lakemper, Jesse Chan, Andrés M. Rueda-Ramírez, Andrew R. Winters, Florian Hindenlang, Gregor J. Gassner:
Efficient implementation of modern entropy stable and kinetic energy preserving discontinuous Galerkin methods for conservation laws. CoRR abs/2112.10517 (2021) - 2020
- [j22]Marvin Bohm, Andrew R. Winters, Gregor J. Gassner, Dominik Derigs, Florian Hindenlang, Joachim Saur:
An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part I: Theory and numerical verification. J. Comput. Phys. 422: 108076 (2020) - [i9]Andrew R. Winters, David A. Kopriva, Gregor J. Gassner, Florian Hindenlang:
Construction of Modern Robust Nodal Discontinuous Galerkin Spectral Element Methods for the Compressible Navier-Stokes Equations. CoRR abs/2005.02317 (2020) - [i8]Jan Nordström, Andrew R. Winters:
Stable filtering procedures for nodal discontinuous Galerkin methods. CoRR abs/2007.06948 (2020) - [i7]Michael Schlottke-Lakemper, Andrew R. Winters, Hendrik Ranocha, Gregor J. Gassner:
A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics. CoRR abs/2008.10593 (2020) - [i6]Andrés M. Rueda-Ramírez, Sebastian Hennemann, Florian J. Hindenlang, Andrew R. Winters, Gregor Gassner:
An Entropy Stable Nodal Discontinuous Galerkin Method for the resistive MHD Equations. Part II: Subcell Finite Volume Shock Capturing. CoRR abs/2012.12040 (2020)
2010 – 2019
- 2019
- [j21]Lucas Friedrich, Gero Schnücke, Andrew R. Winters, David C. Del Rey Fernández, Gregor J. Gassner, Mark H. Carpenter:
Entropy Stable Space-Time Discontinuous Galerkin Schemes with Summation-by-Parts Property for Hyperbolic Conservation Laws. J. Sci. Comput. 80(1): 175-222 (2019) - [j20]Marvin Bohm, Sven Schermeng, Andrew R. Winters, Gregor J. Gassner, Gustaaf B. Jacobs:
Multi-element SIAC Filter for Shock Capturing Applied to High-Order Discontinuous Galerkin Spectral Element Methods. J. Sci. Comput. 81(2): 820-844 (2019) - [i5]Andrew R. Winters, Christof Czernik, Moritz B. Schily, Gregor J. Gassner:
Entropy stable numerical approximations for the isothermal and polytropic Euler equations. CoRR abs/1907.03287 (2019) - [i4]Marvin Bohm, Sven Schermeng, Andrew R. Winters, Gregor J. Gassner, Gustaaf B. Jacobs:
Multi-element SIAC filter for shock capturing applied to high-order discontinuous Galerkin spectral element methods. CoRR abs/1907.04939 (2019) - [i3]Jan Nordström, Andrew R. Winters:
Energy versus entropy estimates for nonlinear hyperbolic systems of equations. CoRR abs/1907.10713 (2019) - [i2]David C. Del Rey Fernández, Mark H. Carpenter, Lisandro Dalcín, L. Fredrich, Diego Rojas, Andrew R. Winters, Gregor J. Gassner, Stefano Zampini, Matteo Parsani:
Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Euler equations. CoRR abs/1909.12536 (2019) - [i1]David C. Del Rey Fernández, Mark H. Carpenter, Lisandro Dalcín, Lucas Friedrich, Andrew R. Winters, Gregor J. Gassner, Matteo Parsani:
Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Navier-Stokes Equations. CoRR abs/1909.12546 (2019) - 2018
- [j19]Dominik Derigs, Andrew R. Winters, Gregor J. Gassner, Stefanie Walch, Marvin Bohm:
Ideal GLM-MHD: About the entropy consistent nine-wave magnetic field divergence diminishing ideal magnetohydrodynamics equations. J. Comput. Phys. 364: 420-467 (2018) - [j18]Andrew R. Winters, Rodrigo Costa Moura, Gianmarco Mengaldo, Gregor J. Gassner, Stefanie Walch, Joaquim Peiró, Spencer J. Sherwin:
A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations. J. Comput. Phys. 372: 1-21 (2018) - [j17]Niklas Wintermeyer, Andrew R. Winters, Gregor J. Gassner, Timothy Warburton:
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: 447-480 (2018) - [j16]Lucas Friedrich, David C. Del Rey Fernández, Andrew R. Winters, Gregor J. Gassner, David W. Zingg, Jason E. Hicken:
Conservative and Stable Degree Preserving SBP Operators for Non-conforming Meshes. J. Sci. Comput. 75(2): 657-686 (2018) - [j15]Gregor J. Gassner, Andrew R. Winters, Florian Hindenlang, David A. Kopriva:
The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations. J. Sci. Comput. 77(1): 154-200 (2018) - [j14]Gregor J. Gassner, Andrew R. Winters, Florian Hindenlang, David A. Kopriva:
Correction to: The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations. J. Sci. Comput. 77(1): 201-203 (2018) - [j13]Lucas Friedrich, Andrew R. Winters, David C. Del Rey Fernández, Gregor J. Gassner, Matteo Parsani, Mark H. Carpenter:
An Entropy Stable h / p Non-Conforming Discontinuous Galerkin Method with the Summation-by-Parts Property. J. Sci. Comput. 77(2): 689-725 (2018) - 2017
- [j12]Birte Schmidtmann, Andrew R. Winters:
Hybrid entropy stable HLL-type Riemann solvers for hyperbolic conservation laws. J. Comput. Phys. 330: 566-570 (2017) - [j11]Dominik Derigs, Andrew R. Winters, Gregor J. Gassner, Stefanie Walch:
A novel averaging technique for discrete entropy-stable dissipation operators for ideal MHD. J. Comput. Phys. 330: 624-632 (2017) - [j10]Andrew R. Winters, Dominik Derigs, Gregor J. Gassner, Stefanie Walch:
A uniquely defined entropy stable matrix dissipation operator for high Mach number ideal MHD and compressible Euler simulations. J. Comput. Phys. 332: 274-289 (2017) - [j9]Niklas Wintermeyer, Andrew R. Winters, Gregor J. Gassner, David A. Kopriva:
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: 200-242 (2017) - 2016
- [j8]Gregor Gassner, Andrew R. Winters, David A. Kopriva:
A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations. Appl. Math. Comput. 272: 291-308 (2016) - [j7]Andrew R. Winters, Gregor J. Gassner:
Affordable, entropy conserving and entropy stable flux functions for the ideal MHD equations. J. Comput. Phys. 304: 72-108 (2016) - [j6]Dominik Derigs, Andrew R. Winters, Gregor J. Gassner, Stefanie Walch:
A novel high-order, entropy stable, 3D AMR MHD solver with guaranteed positive pressure. J. Comput. Phys. 317: 223-256 (2016) - [j5]Gregor J. Gassner, Andrew R. Winters, David A. Kopriva:
Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations. J. Comput. Phys. 327: 39-66 (2016) - [j4]Andrew R. Winters, Gregor J. Gassner:
An Entropy Stable Finite Volume Scheme for the Equations of Shallow Water Magnetohydrodynamics. J. Sci. Comput. 67(2): 514-539 (2016) - 2015
- [j3]Andrew R. Winters, Gregor Gassner:
A comparison of two entropy stable discontinuous Galerkin spectral element approximations for the shallow water equations with non-constant topography. J. Comput. Phys. 301: 357-376 (2015) - 2014
- [j2]Andrew R. Winters, David A. Kopriva:
ALE-DGSEM approximation of wave reflection and transmission from a moving medium. J. Comput. Phys. 263: 233-267 (2014) - [j1]Andrew R. Winters, David A. Kopriva:
High-Order Local Time Stepping on Moving DG Spectral Element Meshes. J. Sci. Comput. 58(1): 176-202 (2014)
Coauthor Index
aka: Gregor J. Gassner
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