Andrew R. Winters

According to our database, Andrew R. Winters authored at least 51 papers between 2014 and 2026.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2026

Well-Balanced Subcell Limiting for Discontinuous Galerkin Discretizations of the Shallow-Water Equations.

Andrés M. Rueda-Ramírez, Patrick Ersing, Andrew R. Winters, Gregor J. Gassner

CoRR, May, 2026

A high-order, structure preserving scheme for the stochastic Galerkin shallow water equations - unification and two-dimensional extension.

Philipp Öffner, Per Pettersson, Andrew R. Winters

CoRR, April, 2026

Entropy analysis and entropy stable DG methods for the shallow water moment equations.

Julio Careaga, Patrick Ersing, Julian Koellermeier, Andrew R. Winters

CoRR, February, 2026

Optimal boundary closures for diagonal-norm upwind SBP operators.

Ken Mattsson, David Niemelä, Andrew R. Winters

CoRR, February, 2026

A new class of entropy stable fluctuations for the discontinuous Galerkin method with application to the Saint-Venant-Exner model.

Patrick Ersing, Andrew R. Winters

CoRR, January, 2026

Aligning linear and nonlinear boundary condition theory for the compressible Euler equations using congruence matrix analysis.

Andrew R. Winters, Jan Nordström

J. Comput. Phys., 2026

Numerical boundary flux functions that give provable bounds for nonlinear initial boundary value problems with open boundaries.

Andrew R. Winters, David A. Kopriva, Jan Nordström

J. Comput. Phys., 2026

2025

Towards provable energy-stable overset grid methods using sub-cell summation-by-parts operators.

Jan Glaubitz, Joshua Lampert, Andrew R. Winters, Jan Nordström

CoRR, September, 2025

Global Bounds for the Error in Solutions of Linear Hyperbolic Systems due to Inaccurate Boundary Geometry.

David A. Kopriva, Andrew R. Winters, Jan Nordström

CoRR, March, 2025

On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws.

Hendrik Ranocha, Andrew R. Winters, Michael Schlottke-Lakemper, Philipp Öffner, Jan Glaubitz, Gregor J. Gassner

J. Comput. Phys., 2025

Energy bounds for discontinuous Galerkin spectral element approximations of well-posed overset grid problems for hyperbolic systems.

David A. Kopriva, Andrew R. Winters, Jan Nordström

J. Comput. Phys., 2025

Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods.

Jan Glaubitz, Hendrik Ranocha, Andrew R. Winters, Michael Schlottke-Lakemper, Philipp Öffner, Gregor Gassner

J. Comput. Phys., 2025

Entropy stable hydrostatic reconstruction schemes for shallow water systems.

Patrick Ersing, Sven Goldberg, Andrew R. Winters

J. Comput. Phys., 2025

2024

HOHQMesh: An All Quadrilateral/Hexahedral Unstructured Mesh Generator for High Order Elements.

David A. Kopriva, Andrew R. Winters, Michael Schlottke-Lakemper, Joseph A. Schoonover, Hendrik Ranocha

J. Open Source Softw., December, 2024

An Entropy Stable Discontinuous Galerkin Method for the Two-Layer Shallow Water Equations on Curvilinear Meshes.

Patrick Ersing, Andrew R. Winters

J. Sci. Comput., March, 2024

Encapsulated generalized summation-by-parts formulations for curvilinear and non-conforming meshes.

Tomas Lundquist, Andrew R. Winters, Jan Nordström

J. Comput. Phys., February, 2024

2023

Efficient Implementation of Modern Entropy Stable and Kinetic Energy Preserving Discontinuous Galerkin Methods for Conservation Laws.

Hendrik Ranocha, Michael Schlottke-Lakemper, Jesse Chan, Andrés M. Rueda-Ramírez, Andrew R. Winters, Florian Hindenlang, Gregor J. Gassner

ACM Trans. Math. Softw., December, 2023

High-order upwind summation-by-parts methods for nonlinear conservation laws.

Hendrik Ranocha, Andrew R. Winters, Michael Schlottke-Lakemper, Philipp Öffner, Jan Glaubitz, Gregor J. Gassner

CoRR, 2023

2022

A linear and nonlinear analysis of the shallow water equations and its impact on boundary conditions.

Jan Nordström, Andrew R. Winters

J. Comput. Phys., 2022

On error-based step size control for discontinuous Galerkin methods for compressible fluid dynamics.

Hendrik Ranocha, Andrew R. Winters, Hugo Guillermo Castro, Lisandro Dalcín, Michael Schlottke-Lakemper, Gregor J. Gassner, Matteo Parsani

CoRR, 2022

2021

Stable Filtering Procedures for Nodal Discontinuous Galerkin Methods.

Jan Nordström, Andrew R. Winters

J. Sci. Comput., 2021

A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics.

Michael Schlottke-Lakemper, Andrew R. Winters, Hendrik Ranocha, Gregor J. Gassner

J. Comput. Phys., 2021

An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part II: Subcell finite volume shock capturing.

Andrés M. Rueda-Ramírez, Sebastian Hennemann, Florian J. Hindenlang, Andrew R. Winters, Gregor J. Gassner

J. Comput. Phys., 2021

Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing.

Hendrik Ranocha, Michael Schlottke-Lakemper, Andrew R. Winters, Erik Faulhaber, Jesse Chan, Gregor J. Gassner

CoRR, 2021

2020

An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part I: Theory and numerical verification.

Marvin Bohm, Andrew R. Winters, Gregor J. Gassner, Dominik Derigs, Florian Hindenlang, Joachim Saur

J. Comput. Phys., 2020

Construction of Modern Robust Nodal Discontinuous Galerkin Spectral Element Methods for the Compressible Navier-Stokes Equations.

Andrew R. Winters, David A. Kopriva, Gregor J. Gassner, Florian Hindenlang

CoRR, 2020

2019

Entropy Stable Space-Time Discontinuous Galerkin Schemes with Summation-by-Parts Property for Hyperbolic Conservation Laws.

Lucas Friedrich, Gero Schnücke, Andrew R. Winters, David C. Del Rey Fernández, Gregor J. Gassner, Mark H. Carpenter

J. Sci. Comput., 2019

Multi-element SIAC Filter for Shock Capturing Applied to High-Order Discontinuous Galerkin Spectral Element Methods.

Marvin Bohm, Sven Schermeng, Andrew R. Winters, Gregor J. Gassner, Gustaaf B. Jacobs

J. Sci. Comput., 2019

Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Navier-Stokes Equations.

David C. Del Rey Fernández, Mark H. Carpenter, Lisandro Dalcín, Lucas Friedrich, Andrew R. Winters, Gregor J. Gassner, Matteo Parsani

CoRR, 2019

Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Euler equations.

David C. Del Rey Fernández, Mark H. Carpenter, Lisandro Dalcín, L. Fredrich, Diego Rojas, Andrew R. Winters, Gregor J. Gassner, Stefano Zampini, Matteo Parsani

CoRR, 2019

Energy versus entropy estimates for nonlinear hyperbolic systems of equations.

Jan Nordström, Andrew R. Winters

CoRR, 2019

Entropy stable numerical approximations for the isothermal and polytropic Euler equations.

Andrew R. Winters, Christof Czernik, Moritz B. Schily, Gregor J. Gassner

CoRR, 2019

2018

Correction to: The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations.

Gregor J. Gassner, Andrew R. Winters, Florian Hindenlang, David A. Kopriva

J. Sci. Comput., 2018

The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations.

Gregor J. Gassner, Andrew R. Winters, Florian Hindenlang, David A. Kopriva

J. Sci. Comput., 2018

An Entropy Stable h / p Non-Conforming Discontinuous Galerkin Method with the Summation-by-Parts Property.

Lucas Friedrich, Andrew R. Winters, David C. Del Rey Fernández, Gregor J. Gassner, Matteo Parsani, Mark H. Carpenter

J. Sci. Comput., 2018

Conservative and Stable Degree Preserving SBP Operators for Non-conforming Meshes.

Lucas Friedrich, David C. Del Rey Fernández, Andrew R. Winters, Gregor J. Gassner, David W. Zingg, Jason E. Hicken

J. Sci. Comput., 2018

A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations.

Andrew R. Winters, Rodrigo Costa Moura, Gianmarco Mengaldo, Gregor J. Gassner, Stefanie Walch, Joaquim Peiró, Spencer J. Sherwin

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.

Niklas Wintermeyer, Andrew R. Winters, Gregor J. Gassner, Timothy Warburton

J. Comput. Phys., 2018

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, Marvin Bohm

J. Comput. Phys., 2018

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

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.

Niklas Wintermeyer, Andrew R. Winters, Gregor J. Gassner, David A. Kopriva

J. Comput. Phys., 2017

Hybrid entropy stable HLL-type Riemann solvers for hyperbolic conservation laws.

Birte Schmidtmann, Andrew R. Winters

J. Comput. Phys., 2017

A novel averaging technique for discrete entropy-stable dissipation operators for ideal MHD.

Dominik Derigs, Andrew R. Winters, Gregor J. Gassner, Stefanie Walch

J. Comput. Phys., 2017

2016

An Entropy Stable Finite Volume Scheme for the Equations of Shallow Water Magnetohydrodynamics.

Andrew R. Winters, Gregor J. Gassner

J. Sci. Comput., 2016

Affordable, entropy conserving and entropy stable flux functions for the ideal MHD equations.

Andrew R. Winters, Gregor J. Gassner

J. Comput. Phys., 2016

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

J. Comput. Phys., 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

J. Comput. Phys., 2016

A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations.

Gregor Gassner, Andrew R. Winters, David A. Kopriva

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.

Andrew R. Winters, Gregor Gassner

J. Comput. Phys., 2015

2014

High-Order Local Time Stepping on Moving DG Spectral Element Meshes.

Andrew R. Winters, David A. Kopriva

J. Sci. Comput., 2014

ALE-DGSEM approximation of wave reflection and transmission from a moving medium.

Andrew R. Winters, David A. Kopriva

J. Comput. Phys., 2014