21 citations · 21 across the 4 of their papers we have counts for
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A well-balanced Active Flux method for the shallow water equations with wetting and drying
Wasilij Barsukow, Jonas P. Berberich
Active Flux is a third order accurate numerical method which evolves cell averages and point values at cell interfaces independently. It naturally uses a continuous reconstruction,…
On the Active Flux scheme for hyperbolic PDEs with source terms
Wasilij Barsukow, Jonas P. Berberich, Christian Klingenberg
The Active Flux scheme is a Finite Volume scheme with additional point values distributed along the cell boundary. It is third order accurate and does not require a Riemann solver:…
Approximate evolution operators for the Active Flux method
Wasilij Barsukow
This work focuses on the numerical solution of hyperbolic conservations laws (possibly endowed with a source term) using the Active Flux method. This method is an extension of the…
Truly multi-dimensional all-speed schemes for the Euler equations on Cartesian grids
Wasilij Barsukow
Finite volume schemes often have difficulties to resolve the low Mach number (incompressible) limit of the Euler equations. Incompressibility is only non-trivial in multiple spatia…
The Active Flux scheme for nonlinear problems
Wasilij Barsukow
The Active Flux scheme is a finite volume scheme with additional point values distributed along the cell boundary. It is third order accurate and does not require a Riemann solver.…
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…