178 citations · 1.1k across the 54 of their papers we have counts for
15 papers · 1 filter
On the density of wild initial data for the compressible Euler system
Eduard Feireisl, Christian Klingenberg, Simon Markfelder
We consider a class of wild initial data to the compressible Euler system that give rise to infinitely many admissible weak solutions via the method of convex integration. We ident…
The active flux scheme on Cartesian grids and its low Mach number limit
Wasilij Barsukow, Jonathan Hohm, Christian Klingenberg +1
Finite volume schemes for hyperbolic conservation laws require a numerical intercell flux. In one spatial dimension the numerical flux can be successfully obtained by solving (exac…
Second order finite volume scheme for Euler equations with gravity which is well-balanced for general equations of state and grid systems
Jonas P. Berberich, Praveen Chandrashekar, Christian Klingenberg +1
We develop a second order well-balanced finite volume scheme for compressible Euler equations with a gravitational source term. The well-balanced property holds for arbitrary hydro…
Arbitrary order finite volume well-balanced schemes for the Euler equations with gravity
C. Klingenberg, G. Puppo, M. Semplice
This work presents arbitrary high order well balanced finite volume schemes for the Euler equations with a prescribed gravitational field. It is assumed that the desired equilibriu…
Kinetic ES-BGK models for a multi-component gas mixture
Christian Klingenberg, Marlies Pirner, Gabriella Puppo
We consider a multi component mixture of inert gas in the kinetic regime by assuming that the total number of particles of each species remains constant. In this article we shall i…
On quantifying uncertainties for the linearized BGK kinetic equation
C. Klingenberg, Q. Li, M. Pirner
We consider the linearized BGK equation and want to quantify uncertainties in the case of modelling errors. More specifically, we want to quantify the error produced if the pre-det…