4 papers
An IMEX multi-level domain-decomposition method for the Boltzmann equation on unstructured meshes
Domenico Caparello, Lorenzo Pareschi, Thomas Rey
We introduce a dynamically adaptive multi-level method for the multiscale Boltzmann equation on unstructured meshes, coupling the compressible Euler, Navier-Stokes, and full Boltzm…
A Coupled IMEX Domain Decomposition Method for High-Order Time Integration of the ES-BGK Model of the Boltzmann Equation
Domenico Caparello, Tommaso Tenna
In this paper, we propose a high-order domain decomposition method for the ES-BGK model of the Boltzmann equation, which dynamically detects regions of equilibrium and non-equilibr…
High-Order Asymptotic-Preserving IMEX schemes for an ES-BGK model for Gas Mixtures
Domenico Caparello, Lorenzo Pareschi, Thomas Rey
In this work we construct a high-order Asymptotic-Preserving (AP) Implicit-Explicit (IMEX) scheme for the ES-BGK model for gas mixtures introduced in [Brull, Commun. Math. Sci., 20…
Hierarchical dynamic domain decomposition for the multiscale Boltzmann equation
Domenico Caparello, Lorenzo Pareschi, Thomas Rey
In this work, we present a hierarchical domain decomposition method for the multi-scale Boltzmann equation based on moment realizability matrices, a concept introduced by Levermore…