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

@article{Derigs2016ANA, title={A novel averaging technique for discrete entropy-stable dissipation operators for ideal MHD}, author={Dominik Derigs and Andrew R. Winters and Gregor J. Gassner and Stefanie Walch}, journal={J. Comput. Phys.}, year={2016}, volume={330}, pages={624-632} }

## 34 Citations

### Comparison of Some Entropy Conservative Numerical Fluxes for the Euler Equations

- Environmental ScienceJ. Sci. Comput.
- 2018

The flux differencing theory is extended, guaranteeing high-order for general symmetric and consistent numerical fluxes and investigating entropy stability in a generalised framework of summation-by-parts operators applicable to multiple dimensions and simplex elements.

### Comparison of Some Entropy Conservative Numerical Fluxes for the Euler Equations

- Environmental ScienceJournal of Scientific Computing
- 2017

Entropy conservation and stability of numerical methods in gas dynamics have received much interest. Entropy conservative numerical fluxes can be used as ingredients in two kinds of schemes: firstly,…

### Formulation of Entropy-Stable schemes for the multicomponent compressible Euler equations

- Computer Science, PhysicsComputer Methods in Applied Mechanics and Engineering
- 2020

### High-order accurate entropy stable nodal discontinuous Galerkin schemes for the ideal special relativistic magnetohydrodynamics

- Computer ScienceJ. Comput. Phys.
- 2020

### Ideal GLM-MHD: About the entropy consistent nine-wave magnetic field divergence diminishing ideal magnetohydrodynamics equations

- Computer Science, PhysicsJ. Comput. Phys.
- 2018

### Preventing Pressure Oscillations Does Not Fix Local Linear Stability Issues of Entropy-Based Split-Form High-Order Schemes

- Computer ScienceCommunications on Applied Mathematics and Computation
- 2021

This paper investigates if pressure equilibrium preservation is a remedy to these recently found local linear stability issues of entropy-conservative/dissipative high-order split-form discontinuous Galerkin methods for the compressible Euler equations, and characterize numerical fluxes for the Euler equation that are entropy- conservative, kinetic-energy-preserving, pressure-equilibrium-Preserving, and have a density flux that does not depend on the pressure.

### Entropy Stable Finite Volume Approximations for Ideal Magnetohydrodynamics

- Mathematics
- 2017

This article serves as a summary outlining the mathematical entropy analysis of the ideal magnetohydrodynamic (MHD) equations. We select the ideal MHD equations as they are particularly useful for…

### Entropy Stable Finite Volume Approximations for Ideal Magnetohydrodynamics

- MathematicsJahresbericht der Deutschen Mathematiker-Vereinigung
- 2018

This article serves as a summary outlining the mathematical entropy analysis of the ideal magnetohydrodynamic (MHD) equations. We select the ideal MHD equations as they are particularly useful for…

### An Entropy-stable Ideal EC-GLM-MHD Model for the Simulation of the Three-dimensional Ambient Solar Wind

- PhysicsThe Astrophysical Journal Supplement Series
- 2021

The main aim of the current work is to apply the Roe+Lax–Friedrichs (LF) hybrid entropy-stable scheme to the simulation of the three-dimensional ambient solar wind. The governing equations for the…

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

- Computer ScienceJ. Comput. Phys.
- 2021

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