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Macroscopic Transport Equations for Rarefied Gas Flows

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The article was published on 2005-01-01. It has received 473 citations till now.

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Learning Thermodynamically Stable and Galilean Invariant Partial Differential Equations for Non-Equilibrium Flows

TL;DR: In this article, a method for learning interpretable, thermodynamically stable and Galilean invariant partial differential equations (PDEs) based on the Conservation-dissipation Formalism of irreversible thermodynamics is developed.
Journal ArticleDOI

A hybrid discontinuous Galerkin scheme for multi-scale kinetic equations

TL;DR: In this paper, a multi-dimensional hybrid discontinuous Galerkin method for multi-scale kinetic equations is presented. But the main issue addressed in this paper is to provide a simple indicator to select the most appropriate model and to apply a compact numerical scheme to reduce the interface region between different models.
Journal ArticleDOI

Telescopic Projective Integration for Linear Kinetic Equations with Multiple Relaxation Times

TL;DR: It is shown how telescopic projective integration can be used to efficiently integrate kinetic equations with multiple relaxation times, and illustrated numerically that the resulting computational cost is acceptable.
Journal ArticleDOI

Generalized collisional fluid theory for multi-component, multi-temperature plasma using the linearized Boltzmann collision operator for scrape-off layer/edge applications

TL;DR: In this article, the collision coefficients for a multi-component, multi-temperature plasma up to rank-2 were derived by using the linearized Boltzmann collision operator.