Nov 16 – 19, 2021
Polytech Lille
Europe/Paris timezone

Asymptotic preserving Arbitrary-Lagrangian-Eulerian methods for rigid body motion in a rarefied gas based on the BGK model

Nov 19, 2021, 9:00 AM
Amphithéatre Appert (Polytech Lille)

Amphithéatre Appert

Polytech Lille

Plenary talk


Axel Klar


The talk is concerned with the simulation of moving rigid bodies immersed in a rarefied gas simulated by solving the Bhatnager-Gross-Krook (BGK) model for the Boltzmann equation. The computational domain for the rarefied gas changes with respect to time due to the motion of the boundaries of the rigid bodies. A one way, as well as a two-way coupling of rigid body motion and gas flow is considered.
An Arbitrary-Lagrangian-Eulerian method, where grid-points/particles are moved with the mean velocity of the gas is developed and investigated. For the spatial discretization we use a method based on a least-square approximation. For the time discretization an asymptotic preserving IMEX discretization is used. Results are compared with those of an extension of the Semi-Lagrangian numerical method suggested by Filbet & Russo to multiple space-dimensions. Moreover, the numerical results are compared with analytical, as well as with DSMC solutions of the Boltzmann equation.
Several test problems and applications illustrate the versatility of the approach.

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