3 papers
math.NA2026
High-Order Asymptotic-Preserving Schemes for Kinetic Equations from Rarefied to Incompressible Regimes
Giacomo Dimarco, Axel Klar, Theresa Köfler +2
This work introduces a novel high-order numerical framework for solving kinetic equations, designed to remain uniformly valid across all regimes of the mean free path, spanning fro…
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.NA2024
High-performance computing for the BGK model of the Boltzmann equation with a meshfree Arbitrary Lagrangian-Eulerian (ALE) method
Panchatchram Mariappan, Klaas Willems, Gangadhara Boregowda +2
In this paper, we present high-performance computing for the BGK model of the Boltzmann equation with a mesh-free method. For the numerical simulation of the BGK equation we use an…