27 citations · 38 across the 4 of their papers we have counts for
7 papers
Entropy-aware non-oscillatory high-order finite volume methods using the Dafermos entropy rate criterion
Simon-Christian Klein, Thomas Sonar
Finite volume methods are popular tools for solving time-dependent partial differential equations, especially hyperbolic conservation laws. Over the past 40 years a popular way of…
Analysis of Artificial Dissipation of Explicit and Implicit Time-Integration Methods
Philipp Öffner, Jan Glaubitz, Hendrik Ranocha
Stability is an important aspect of numerical methods for hyperbolic conservation laws and has received much interest. However, continuity in time is often assumed and only semidis…
Enhancing stability of correction procedure via reconstruction using summation-by-parts operators II: Modal filtering
Jan Glaubitz, Hendrik Ranocha, Philipp Öffner +1
A recently introduced framework of semidiscretisations for hyperbolic conservation laws known as correction procedure via reconstruction (CPR, also known as flux reconstruction) is…
Enhancing stability of correction procedure via reconstruction using summation-by-parts operators I: Artificial dissipation
Hendrik Ranocha, Jan Glaubitz, Philipp Öffner +1
The correction procedure via reconstruction (CPR, also known as flux reconstruction) is a framework of high order semidiscretisations used for the numerical solution of hyperbolic…
Application of Modal Filtering to a Spectral Difference Method
Jan Glaubitz, Philipp Öffner, Thomas Sonar
We adapt the spectral viscosity (SV) formulation implemented as a modal filter to a Spectral Difference Method (SD) solving hyperbolic conservation laws. In the SD Method we use se…
Extended Skew-Symmetric Form for Summation-by-Parts Operators and Varying Jacobians
Hendrik Ranocha, Philipp Öffner, Thomas Sonar
A generalised analytical notion of summation-by-parts (SBP) methods is proposed, extending the concept of SBP operators in the correction procedure via reconstruction (CPR), a fram…