6 papers
Hugoniot Relation for Multi-Temperature Euler Equations of Compressible Plasma Flows
Zhifang Du, Aleksey Sikstel
Shock solutions for multi-temperature Euler equations are inherently ambiguous due to the loss of microscopic physical detail during model reduction and occurrence of non-conservat…
MultiWave: A computational laboratory for adaptive numerical methods approximating hyperbolic balance laws
Adrian Kolb, Aleksey Sikstel
The MultiWave C++-framework for adaptive numerical methods approximating hyperbolic balance laws is presented. MultiWave has been designed as a computational laboratory where new m…
Discontinuous Galerkin schemes for multi-dimensional coupled hyperbolic systems
Niklas Kolbe, Siegfried Müller, Aleksey Sikstel
A novel class of Runge-Kutta discontinuous Galerkin schemes for coupled systems of conservation laws in multiple space dimensions that are separated by a fixed sharp interface is i…
Coupled general Riemann problems for the Euler equations
Zhifang Du, Aleksey Sikstel
We introduce a novel method for systems of conservation laws coupled at a sharp interface based on generalized Riemann problems. This method yields a piecewise-linear in time appro…
A survey on isothermal and isentropic Baer-Nunziato-type models
Maren Hantke, Siegfried Müller, Aleksey Sikstel +1
Multi-component Baer-Nunziato-type models for isothermal and isentropic fluids are investigated. These are given by balance equations for volume fractions, density and momentum for…
An Entropy-Stable Discontinuous Galerkin Discretization of the Ideal Multi-Ion Magnetohydrodynamics System
Andrés M Rueda-Ramírez, Aleksey Sikstel, Gregor J Gassner
In this paper, we present an entropy-stable (ES) discretization using a nodal discontinuous Galerkin (DG) method for the ideal multi-ion magneto-hydrodynamics (MHD) equations. We s…