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Andrew R. Winters
Andrew R. Winters
Associate Professor , Linköping University
Verified email at liu.se - Homepage
Title
Cited by
Cited by
Year
Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations
GJ Gassner, AR Winters, DA Kopriva
Journal of Computational Physics 327, 39-66, 2016
3122016
A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations
GJ Gassner, AR Winters, DA Kopriva
Applied Mathematics and Computation 272, 291-308, 2016
1532016
The BR1 scheme is stable for the compressible Navier–Stokes equations
GJ Gassner, AR Winters, FJ Hindenlang, DA Kopriva
Journal of Scientific Computing 77, 154-200, 2018
1312018
Statistics: a brief overview
R Winters, A Winters, RG Amedee
Ochsner Journal 10 (3), 213-216, 2010
1292010
A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations
AR Winters, RC Moura, G Mengaldo, GJ Gassner, S Walch, J Peiro, ...
Journal of Computational Physics 372, 1-21, 2018
1132018
An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry
N Wintermeyer, AR Winters, GJ Gassner, DA Kopriva
Journal of Computational Physics 340, 200-242, 2017
1072017
Affordable, entropy conserving and entropy stable flux functions for the ideal MHD equations
AR Winters, GJ Gassner
Journal of Computational Physics 304, 72-108, 2016
982016
Ideal GLM-MHD: about the entropy consistent nine-wave magnetic field divergence diminishing ideal magnetohydrodynamics equations
D Derigs, AR Winters, GJ Gassner, S Walch, M Bohm
Journal of Computational Physics 364, 420-467, 2018
802018
Entropy stable space–time discontinuous Galerkin schemes with summation-by-parts property for hyperbolic conservation laws
L Friedrich, G Schnücke, AR Winters, DCDR Fernández, GJ Gassner, ...
Journal of Scientific Computing 80, 175-222, 2019
752019
An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part I: Theory and numerical verification
M Bohm, AR Winters, GJ Gassner, D Derigs, F Hindenlang, J Saur
Journal of Computational Physics 422, 108076, 2020
632020
An Entropy Stable h / p Non-Conforming Discontinuous Galerkin Method with the Summation-by-Parts Property
L Friedrich, AR Winters, DC Del Rey Fernández, GJ Gassner, M Parsani, ...
Journal of Scientific Computing 77, 689-725, 2018
622018
A uniquely defined entropy stable matrix dissipation operator for high Mach number ideal MHD and compressible Euler simulations
AR Winters, D Derigs, GJ Gassner, S Walch
Journal of Computational Physics 332, 274-289, 2017
582017
A novel high-order, entropy stable, 3D AMR MHD solver with guaranteed positive pressure
D Derigs, AR Winters, GJ Gassner, S Walch
Journal of Computational Physics 317, 223-256, 2016
482016
An entropy stable discontinuous Galerkin method for the shallow water equations on curvilinear meshes with wet/dry fronts accelerated by GPUs
N Wintermeyer, AR Winters, GJ Gassner, T Warburton
Journal of Computational Physics 375, 447-480, 2018
442018
A comparison of two entropy stable discontinuous Galerkin spectral element approximations for the shallow water equations with non-constant topography
AR Winters, GJ Gassner
Journal of Computational Physics 301, 357-376, 2015
422015
A novel averaging technique for discrete entropy-stable dissipation operators for ideal MHD
D Derigs, AR Winters, GJ Gassner, S Walch
Journal of Computational Physics 330, 624-632, 2017
412017
Adaptive numerical simulations with Trixi. jl: A case study of Julia for scientific computing
H Ranocha, M Schlottke-Lakemper, AR Winters, E Faulhaber, J Chan, ...
arXiv preprint arXiv:2108.06476, 2021
372021
A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics
M Schlottke-Lakemper, AR Winters, H Ranocha, GJ Gassner
Journal of Computational Physics 442, 110467, 2021
342021
A novel robust strategy for discontinuous Galerkin methods in computational fluid mechanics: Why? When? What? Where?
GJ Gassner, AR Winters
Frontiers in Physics 8, 500690, 2021
312021
An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part II: Subcell finite volume shock capturing
AM Rueda-Ramírez, S Hennemann, FJ Hindenlang, AR Winters, ...
Journal of Computational Physics 444, 110580, 2021
272021
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