118 citations · 565 across the 34 of their papers we have counts for
6 papers · 1 filter
High-order positivity-preserving well-balanced schemes: combining flux globalization with modified Patankar deferred correction methods
Philipp Öffner, Michael Redle, Davide Torlo
Positivity-preserving schemes for hyperbolic balance laws are typically built from the Zhang-Shu limiter and strong-stability-preserving Runge-Kutta (SSP-RK) time stepping, at the…
Entropy dissipative high order schemes for a hyperbolic model of two-layer thin film flow
Rahul Barthwal, Philipp Öffner, Chetan Singh +1
In this article, we develop high-order, entropy-dissipative schemes for a hyperbolic system of conservation laws describing the first-order dynamics of two-layer thin-film flows of…
Gaussian FSBP operators: Comparison and application to numerical methods for hyperbolic conservation laws
Jan Glaubitz, Henry Haase, Philipp Öffner +1
Function-space summation-by-parts (FSBP) operators enable conservative and energy-stable numerical methods for hyperbolic conservation laws based on general, non-polynomial approxi…
Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows
Jaya Agnihotri, Philipp Öffner
We present a convergence analysis of a finite volume (FV) scheme for the multicomponent compressible Euler system in the framework of dissipative weak (DW) solutions. DW solutions…
Global Existence for a Class of Keyfitz--Kranzer Systems with Application to Thin-Film Flows
Rahul Barthwal, Philipp Öffner, Christian Rohde
We prove the existence of global weak entropy solutions for a class of non-symmetric Keyfitz-Kranzer type systems that includes lubrication models for thin-film flow. We identify a…
A high-order, structure preserving scheme for the stochastic Galerkin shallow water equations -- unification and two-dimensional extension
Philipp Öffner, Per Pettersson, Andrew R. Winters
Recently, two independent research efforts have been made to study the stochastic Galerkin formulation of the shallow water equations. Bender and Öffner developed entropy-conservat…