Work

An ES-BGK model for non polytropic gases with a general framework

Year: 2025

Type: article

Abstract: In this paper, we derive an ellipsoidal statistical BGK model for a polyatomic gas that is based on a general framework introduced in [12]. The distribution function of the polyatomic gas depends on its velocity and a general internal energy function, which can be discrete or continuous. We solve the minimization problem of Boltzmann entropy under suitable moment constraints and determine the transport coefficients (Prandtl number and first and second viscosity) in the hydrodynamic limit. In the end, we obtain an ES-BGK model for a general framework covering in particular the non-polytropic case.

Source: Kinetic and Related Models

DOI: 10.3934/krm.2025010

Authors: Stephane Brull, Annamaria Pollino

Institutions: Centre National de la Recherche Scientifique, Université de Bordeaux, Institut Polytechnique de Bordeaux, Institut de Mathématiques de Bordeaux

Language: English

Topic: Gas Dynamics and Kinetic Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409339486

FWCI: 1.876

Cites: 34

Cited by: 1

Related to: 10