Andrew R. Winters
Orcid: 0000-0002-5902-1522
According to our database1,
Andrew R. Winters
authored at least 41 papers
between 2014 and 2025.
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Bibliography
2025
On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws.
J. Comput. Phys., 2025
2024
An Entropy Stable Discontinuous Galerkin Method for the Two-Layer Shallow Water Equations on Curvilinear Meshes.
J. Sci. Comput., March, 2024
Encapsulated generalized summation-by-parts formulations for curvilinear and non-conforming meshes.
J. Comput. Phys., February, 2024
Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods.
CoRR, 2024
CoRR, 2024
Energy Bounds for Discontinuous Galerkin Spectral Element Approximations of Well-Posed Overset Grid Problems for Hyperbolic Systems.
CoRR, 2024
2023
Efficient Implementation of Modern Entropy Stable and Kinetic Energy Preserving Discontinuous Galerkin Methods for Conservation Laws.
ACM Trans. Math. Softw., December, 2023
CoRR, 2023
2022
A linear and nonlinear analysis of the shallow water equations and its impact on boundary conditions.
J. Comput. Phys., 2022
On error-based step size control for discontinuous Galerkin methods for compressible fluid dynamics.
CoRR, 2022
2021
J. Sci. Comput., 2021
A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics.
J. Comput. Phys., 2021
An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part II: Subcell finite volume shock capturing.
J. Comput. Phys., 2021
Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing.
CoRR, 2021
2020
An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part I: Theory and numerical verification.
J. Comput. Phys., 2020
Construction of Modern Robust Nodal Discontinuous Galerkin Spectral Element Methods for the Compressible Navier-Stokes Equations.
CoRR, 2020
2019
Entropy Stable Space-Time Discontinuous Galerkin Schemes with Summation-by-Parts Property for Hyperbolic Conservation Laws.
J. Sci. Comput., 2019
Multi-element SIAC Filter for Shock Capturing Applied to High-Order Discontinuous Galerkin Spectral Element Methods.
J. Sci. Comput., 2019
Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Navier-Stokes Equations.
CoRR, 2019
Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Euler equations.
CoRR, 2019
CoRR, 2019
Entropy stable numerical approximations for the isothermal and polytropic Euler equations.
CoRR, 2019
2018
Correction to: The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations.
J. Sci. Comput., 2018
J. Sci. Comput., 2018
An Entropy Stable h / p Non-Conforming Discontinuous Galerkin Method with the Summation-by-Parts Property.
J. Sci. Comput., 2018
J. Sci. Comput., 2018
A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations.
J. Comput. Phys., 2018
An entropy stable discontinuous Galerkin method for the shallow water equations on curvilinear meshes with wet/dry fronts accelerated by GPUs.
J. Comput. Phys., 2018
Ideal GLM-MHD: About the entropy consistent nine-wave magnetic field divergence diminishing ideal magnetohydrodynamics equations.
J. Comput. Phys., 2018
2017
A uniquely defined entropy stable matrix dissipation operator for high Mach number ideal MHD and compressible Euler simulations.
J. Comput. Phys., 2017
An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry.
J. Comput. Phys., 2017
J. Comput. Phys., 2017
A novel averaging technique for discrete entropy-stable dissipation operators for ideal MHD.
J. Comput. Phys., 2017
2016
An Entropy Stable Finite Volume Scheme for the Equations of Shallow Water Magnetohydrodynamics.
J. Sci. Comput., 2016
Affordable, entropy conserving and entropy stable flux functions for the ideal MHD equations.
J. Comput. Phys., 2016
Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations.
J. Comput. Phys., 2016
A novel high-order, entropy stable, 3D AMR MHD solver with guaranteed positive pressure.
J. Comput. Phys., 2016
A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations.
Appl. Math. Comput., 2016
2015
A comparison of two entropy stable discontinuous Galerkin spectral element approximations for the shallow water equations with non-constant topography.
J. Comput. Phys., 2015
2014
J. Sci. Comput., 2014
J. Comput. Phys., 2014