4 papers
Some new properties of an Active flux type scheme: PamPa
Rémi Abgrall, Philipp Ãffner, Yongle Liu
In this paper, we provide a few new properties of Active Flux (AF)/Point-Average-Moment PolynomiAl-interpreted (\pampa) schemes. First, we show, in full generality, that the AF/pam…
Why summation by parts is not enough
Jan Glaubitz, Armin Iske, Joshua Lampert +1
We investigate the construction and performance of summation-by-parts (SBP) operators, which offer a powerful framework for the systematic development of structure-preserving numer…
A Structure Preserving Finite Volume Scheme for the Navier-Stokes-Korteweg Equations
Jan Giesselmann, Philipp Ãffner, Robert Sauerborn
We present a semi-discrete finite volume scheme for the local NavierStokes-Korteweg and Euler-Korteweg systems. Our scheme is applicable for equidistant Cartesian meshes in one and…
Discontinuous Galerkin methods for the complete stochastic Euler equations
Dominic Breit, Thamsanqa Castern Moyo, Philipp Ãffner
In recent years, stochastic effects have become increasingly relevant for describing fluid behaviour, particularly in the context of turbulence. The most important model for invisc…