60 citations · 194 across the 17 of their papers we have counts for
22 papers
A relaxation system for the low-Mach limit of kinetic equations: Stability and higher order asymptotic preserving scheme
Giacomo Dimarco, Axel Klar, Theresa Köfler +3
This work introduces a hyperbolic relaxation system designed for the simulation of kinetic equations in the low-Mach number limit. The methodology is built upon a micro-macro decom…
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…
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…
A mesh-free particle method for continuum modeling of granular flow
Sudarshan Tiwari, Axel Klar
Based on the continuum model for granular media developed in Dunatunga et al. we propose a mesh-free generalized finite difference method for the simulation of granular flows. The…
A meshfree arbitrary Lagrangian-Eulerian method for the BGK model of the Boltzmann equation with moving boundaries
Sudarshan Tiwari, Axel Klar, Giovanni Russo
In this paper we present a novel technique for the simulation of moving boundaries and moving rigid bodies immersed in a rarefied gas using an Eulerian-Lagrangian formulation based…
Modeling and simulations of moving droplet in a Rarefied gas
S. Tiwari, A. Klar, G. Russo
We study a two phase flow with interactions of liquid and rarefied gas inside the gas phase. The gas phase is modeled by the BGK model of the Boltzmann equation. The liquid phase i…