3 papers
math.NA2026
A meshless MUSCL method for the BGK-Boltzmann equation
Klaas Willems, Axel Klar, Giovanni Russo +2
We present a numerical method for simulating rarefied gases that interact with moving boundaries and rigid bodies. The gas is described by the BGK equation in Lagrangian form and s…
math.NA2025
A third-order finite volume semi-implicit method for the Shallow Water-Exner model
Enrique D. Fernandez-Nieto, Jose Garres-Diaz, Emanuele Macca +1
In this work, third-order semi-implicit schemes on staggered meshes for the shallow water and Saint-Venant-Exner systems are presented. They are based on a third-order extension of…
math.NA2025
A conservative semi-Lagrangian scheme for the ellipsoidal BGK model of the Boltzmann equation
Sebastiano Boscarino, Seung Yeon Cho, Giovanni Russo +1
In this paper, we propose a high order conservative semi-Lagrangian scheme (SL) for the ellipsoidal BGK model of the Boltzmann transport equation. To avoid the time step restrictio…