引用次数
引用: 2,031
H-指数: 23
I10-指数 : 34
出版物: 57
Entropy stable p-nonconforming discretizations with the summation-by-parts property for the compressible Euler equations
DC Fernandez , MARK H Carpenter , Lisandro Dalcin , LUCAS Fredrich
arXiv preprint arXiv:1909.12536
8
2019
A Novel Robust Strategy for Discontinuous Galerkin Methods in Computational Fluid Mechanics: Why? When? What? Where?
Gregor J. Gassner , Andrew R. Winters
Frontiers of Physics in China 8
19
2021
Stable Filtering Procedures for Nodal Discontinuous Galerkin Methods
Jan Nordström , Jan Nordström , Andrew R. Winters
Journal of Scientific Computing 87 ( 1) 1 -9
2021
A purely hyperbolic discontinuous Galerkin approach for self- gravitating gas dynamics
Gregor J. Gassner , Hendrik Ranocha , Andrew R. Winters , Michael Schlottke-Lakemper
Journal of Computational Physics 110467
2021
Entropy stable numerical approximations for the isothermal and polytropic Euler equations
Andrew R. Winters , Christof Czernik , Moritz B. Schily , Gregor J. Gassner
Bit Numerical Mathematics 60 ( 3) 791 -824
5
2020
High-Order Local Time Stepping on Moving DG Spectral Element Meshes
Andrew R. Winters , David A. Kopriva
Journal of Scientific Computing 58 ( 1) 176 -202
13
2014
An Entropy Stable Finite Volume Scheme for the Equations of Shallow Water Magnetohydrodynamics
Andrew R. Winters , Gregor J. Gassner
Journal of Scientific Computing 67 ( 2) 514 -539
2
2016
A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations
Gregor J. Gassner , Andrew R. Winters , David A. Kopriva
Applied Mathematics and Computation 272 ( 2) 291 -308
90
2016
A Provably Stable Discontinuous Galerkin Spectral Element Approximation for Moving Hexahedral Meshes
David A. Kopriva , Andrew R. Winters , Marvin Bohm , Gregor J. Gassner
Computers & Fluids 139 148 -160
16
2016
ALE-DGSEM approximation of wave reflection and transmission from a moving medium
Andrew R. Winters , David A. Kopriva
Journal of Computational Physics 263 233 -267
4
2014
A comparison of two entropy stable discontinuous Galerkin spectral element approximations for the shallow water equations with non-constant topography
Andrew R. Winters , Gregor J. Gassner
Journal of Computational Physics 301 357 -376
20
2015
Affordable, entropy conserving and entropy stable flux functions for the ideal MHD equations
Andrew R. Winters , Gregor J. Gassner
Journal of Computational Physics 304 72 -108
54
2016
A novel high-order, entropy stable, 3D AMR MHD solver with guaranteed positive pressure
Dominik Derigs , Andrew R. Winters , Gregor J. Gassner , Stefanie Walch
Journal of Computational Physics 317 223 -256
30
2016
Hybrid entropy stable HLL-type Riemann solvers for hyperbolic conservation laws
Birte Schmidtmann , Andrew R. Winters
Journal of Computational Physics 330 566 -570
6
2017
Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations
Gregor J. Gassner , Andrew R. Winters , David A. Kopriva
Journal of Computational Physics 327 39 -66
258
2016
A novel averaging technique for discrete entropy-stable dissipation operators for ideal MHD
Dominik Derigs , Andrew R. Winters , Gregor J. Gassner , Stefanie Walch
Journal of Computational Physics 330 624 -632
23
2017
A uniquely defined entropy stable matrix dissipation operator for high Mach number ideal MHD and compressible Euler simulations
Andrew R. Winters , Dominik Derigs , Gregor J. Gassner , Stefanie Walch
Journal of Computational Physics 332 274 -289
37
2017
An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry
Niklas Wintermeyer , Andrew R. Winters , Gregor J. Gassner , David A. Kopriva
Journal of Computational Physics 340 200 -242
57
2017
Ideal GLM-MHD: About the entropy consistent nine-wave magnetic field divergence diminishing ideal magnetohydrodynamics equations
Dominik Derigs , Andrew R. Winters , Gregor J. Gassner , Stefanie Walch
Journal of Computational Physics 364 420 -467
61
2018
A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations
Andrew R. Winters , Rodrigo C. Moura , Gianmarco Mengaldo , Gregor J. Gassner
Journal of Computational Physics 372 1 -21
60
2018