21 citations · 46 across the 6 of their papers we have counts for
6 papers
Third-order Limiting for Hyperbolic Conservation Laws applied to Adaptive Mesh Refinement and Non-Uniform 2D Grids
Birte Schmidtmann, Pawel Buchmüller, Manuel Torrilhon
In this paper we extend the recently developed third-order limiter function [J. Sci. Comput., (2016), 68(2), pp.~624--652] to make it applicable for more elab…
Hybrid Entropy Stable HLL-Type Riemann Solvers for Hyperbolic Conservation Laws
Birte Schmidtmann, Andrew R. Winters
It is known that HLL-type schemes are more dissipative than schemes based on characteristic decompositions. However, HLL-type methods offer greater flexibility to large systems of…
A Hybrid Riemann Solver for Large Hyperbolic Systems of Conservation Laws
Birte Schmidtmann, Manuel Torrilhon
We are interested in the numerical solution of large systems of hyperbolic conservation laws or systems in which the characteristic decomposition is expensive to compute. Solving s…
Hybrid Riemann Solvers for Large Systems of Conservation Laws
Birte Schmidtmann, Mariia Astrakhantceva, Manuel Torrilhon
In this paper we present a new family of approximate Riemann solvers for the numerical approximation of solutions of hyperbolic conservation laws. They are approximate, also referr…
Relations between WENO3 and Third-order Limiting in Finite Volume Methods
Birte Schmidtmann, Benjamin Seibold, Manuel Torrilhon
Weighted essentially non-oscillatory (WENO) and finite volume (FV) methods employ different philosophies in their way to perform limiting. We show that a generalized view on limite…
On Third-Order Limiter Functions for Finite Volume Methods
Birte Schmidtmann, Rémi Abgrall, Manuel Torrilhon
In this article, we propose a finite volume limiter function for a reconstruction on the three-point stencil. Compared to classical limiter functions in the MUSCL framework, which…