A framework is introduced for constructing interpretable and truly reliable reduced models
for multiscale problems in situations without scale separation. Hydrodynamic approximation …

We derive a conservative multispecies BGK model that follows the spirit of the original,
single species BGK model by making the specific choice to conserve species masses, total …

In this paper we deal with the extension of the Fast Kinetic Scheme (FKS)(Dimarco and
Loubère, 2013 [26]) originally constructed for solving the BGK equation, to the more …

Abstract “Generalized Hydrodynamics”(GHD) stands for a model that describes one-
dimensional integrable systems in quantum physics, such as ultra-cold atoms or spin chains …

We present a new method for the numerical solution of the radiative-transfer equation (RTE)
in multidimensional scenarios commonly encountered in computational astrophysics. The …

The Boltzmann equation, an integro-differential equation for the molecular distribution
function in the physical and velocity phase space, governs the fluid flow behavior at a wide …

Kinetic gas dynamics in rarefied and moderate-density regimes have complex behavior
associated with collisional processes. These processes are generally defined by …

We present a variance-reduced method for efficiently solving the Boltzmann equation in all
rarefaction regimes. The proposed method is based on the VRDSMC method of Al-Mohssen …

In this work, we propose a new Galerkin–Petrov method for the numerical solution of the
classical spatially homogeneous Boltzmann equation. This method is based on an …

We derive a multi-species BGK model with velocity-dependent collision frequency for a non-
reactive, multi-component gas mixture. The model is derived by minimizing a weighted …