21 citations · 32 across the 23 of their papers we have counts for
4 papers · 1 filter
A semi-discrete Active Flux method for the Euler equations on Cartesian grids
Rémi Abgrall, Wasilij Barsukow, Christian Klingenberg
Active Flux is an extension of the Finite Volume method and additionally incorporates point values located at cell boundaries. This gives rise to a globally continuous approximatio…
Truly multi-dimensional all-speed methods for the Euler equations
Wasilij Barsukow
Several recent all-speed time-explicit numerical methods for the Euler equations on Cartesian grids are presented and their properties assessed experimentally on a complex applicat…
Implicit Active Flux methods for linear advection
Wasilij Barsukow, Raul Borsche
In this work we develop implicit Active Flux schemes for the scalar advection equation. At every cell interface we approximate the solution by a polynomial in time. This allows to…
All-speed numerical methods for the Euler equations via a sequential explicit time integration
Wasilij Barsukow
This paper presents a new strategy to deal with the excessive diffusion that standard finite volume methods for compressible Euler equations display in the limit of low Mach number…