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math.NA2026
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…
math.NA2025
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…
math.NA2025
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…