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math.NA2025
Asymptotic preserving methods for the low mach limit in discrete velocity models approximating kinetic equations
Giacomo Dimarco, Axel Klar, Theresa Köfler +1
We consider a Lattice Boltzmann type discrete velocity model in the low Mach number scaling and develop a corresponding numerical scheme that remains uniformly valid across all reg…
math.NA2025
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
Higher-order meshless schemes for hyperbolic equations
Klaas Willems, Giovanni Samaey, Axel Klar
We discuss the order, efficiency, stability and positivity of several meshless schemes for linear scalar hyperbolic equations. Meshless schemes are Generalised Finite Difference Me…