41 citations · 217 across the 25 of their papers we have counts for
25 papers
Revisiting the Coupling of Thermodynamics and Electromagnetics
Stefanie Braun, Henning Struchtrup, Manuel Torrilhon
We revisit the coupling of continuum thermodynamics and electromagnetic theory for polarisable and magnetisable matter in motion. Two routes are followed and then compared. The fir…
Moment Approximations to Magnetic Rotating Shallow Flows
Julian Koellermeier, Michael Redle, Manuel Torrilhon
Originally introduced to describe a transition region in stars, the magnetic rotating shallow water (MRSW) model is now used in many solar physics and geophysical applications. Der…
Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration
Daniel Doehring, Hendrik Ranocha, Manuel Torrilhon
We present novel entropy-conservative and entropy-stable multirate Runge-Kutta methods based on Paired Explicit Runge-Kutta (P-ERK) schemes with relaxation for conservation laws an…
Fourth-Order Paired-Explicit Runge-Kutta Methods
Daniel Doehring, Lars Christmann, Michael Schlottke-Lakemper +2
In this paper, we extend the Paired-Explicit Runge-Kutta schemes by Vermeire et. al. to fourth-order of consistency. Based on the order conditions for partitioned Runge-Kutta metho…
High Fidelity simulations of the multi-species Vlasov equation in the electro-static, collisional-less limit
Rostislav-Paul Wilhelm, Jan Eifert, Manuel Torrilhon
The accurate prediction of occurrence and strength of kinetic instabilities in plasmas remains a significant challenge in nuclear fusion research. To accurately capture the plasmas…
Many-Stage Optimal Stabilized Runge-Kutta Methods for Hyperbolic Partial Differential Equations
Daniel Doehring, Gregor J. Gassner, Manuel Torrilhon
A novel optimization procedure for the generation of stability polynomials of stabilized explicit Runge-Kutta methods is devised. Intended for semidiscretizations of hyperbolic par…