Andrew R. Winters | DeepAI

AI Chat

Featured Co-authors

Hendrik Ranocha
31 publications
Jan Nordström
22 publications
Jesse Chan
21 publications
Gregor J. Gassner
19 publications
Lisandro Dalcin
12 publications
Matteo Parsani
12 publications
David A Kopriva
10 publications
Andrés M. Rueda-Ramírez
10 publications
David C. Del Rey Fernandez
8 publications
Gregor Gassner
7 publications
Michael Schlottke-Lakemper
5 publications

∙ 06/22/2023

An entropy stable discontinuous Galerkin method for the two-layer shallow water equations on curvilinear meshes

We present an entropy stable nodal discontinuous Galerkin spectral eleme...

0 Patrick Ersing, et al. ∙

∙ 09/15/2022

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

We study temporal step size control of explicit Runge-Kutta methods for ...

0 Hendrik Ranocha, et al. ∙

∙ 12/20/2021

Efficient implementation of modern entropy stable and kinetic energy preserving discontinuous Galerkin methods for conservation laws

Many modern discontinuous Galerkin (DG) methods for conservation laws ma...

0 Hendrik Ranocha, et al. ∙

∙ 08/14/2021

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

We present Trixi.jl, a Julia package for adaptive high-order numerical s...

0 Hendrik Ranocha, et al. ∙

∙ 12/22/2020

An Entropy Stable Nodal Discontinuous Galerkin Method for the resistive MHD Equations. Part II: Subcell Finite Volume Shock Capturing

The second paper of this series presents two robust entropy stable shock...

0 Andrés M. Rueda-Ramírez, et al. ∙

∙ 08/24/2020

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

One of the challenges when simulating astrophysical flows with self-grav...

0 Michael Schlottke-Lakemper, et al. ∙

∙ 07/14/2020

Stable filtering procedures for nodal discontinuous Galerkin methods

We prove that the most common filtering procedure for nodal discontinuou...

0 Jan Nordström, et al. ∙

∙ 05/05/2020

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

Discontinuous Galerkin (DG) methods have a long history in computational...

0 Andrew R. Winters, et al. ∙

∙ 09/27/2019

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

The entropy conservative, curvilinear, nonconforming, p-refinement algor...

0 David C. Del Rey Fernandez, et al. ∙

∙ 07/24/2019

Energy versus entropy estimates for nonlinear hyperbolic systems of equations

We compare and contrast information provided by the energy analysis of K...

0 Jan Nordström, et al. ∙

∙ 07/10/2019

Multi-element SIAC filter for shock capturing applied to high-order discontinuous Galerkin spectral element methods

We build a multi-element variant of the smoothness increasing accuracy c...

0 Marvin Bohm, et al. ∙

∙ 07/07/2019

Entropy stable numerical approximations for the isothermal and polytropic Euler equations

In this work we analyze the entropic properties of the Euler equations w...

0 Andrew R. Winters, et al. ∙

Are you a researcher?
Expose your work
to one of the largest
A.I. communities in the world