4 papers
Fully Discrete Active Flux Methods for the Euler Equations: Exploring Different Reconstructions and New Multi-Dimensional Evolution Operators
Christiane Helzel, Mária Lukáčová-Medvid'ová, Amelie Porfetye +1
We present new fully discrete Cartesian grid Active Flux methods for the two-dimensional Euler equations of gas dynamics. A key component of these methods is the evolution operator…
A fully discrete Active Flux method for the Euler equations comparing different truly multi-dimensional evolution operators
Christiane Helzel, Amelie Porfetye
This article builds upon our recently published fully discrete Cartesian grid Active Flux method for the Euler equations by introducing a new evolution operator for the linearized…
New Fully Discrete Active Flux Methods with Truly Multi-Dimensional Evolution Operators and WENO Reconstruction
Amelie Porfetye, Zhuyan Tang, Shaoshuai Chu +2
We propose new fully discrete third-order accurate Active Flux and WENO methods based on truly multidimensional evolution operators for the two-dimensional acoustic equations. Buil…
A Fully Discrete Truly Multidimensional Active Flux Method For The Two-Dimensional Euler Equations
Erik Chudzik, Christiane Helzel, Amelie Porfetye
The Active Flux method is a finite volume method for hyperbolic conservation laws that uses both cell averages and point values as degrees of freedom. Several versions of such meth…