134 citations · 1.1k across the 79 of their papers we have counts for
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Shallow water equations: Split-form, entropy stable, well-balanced, and positivity preserving numerical methods
Hendrik Ranocha
For the first time, a general two-parameter family of entropy conservative numerical fluxes for the shallow water equations is developed and investigated. These are adapted to a va…
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…