Work

Interface layers and coupling conditions on networks for linearized kinetic BGK equation

Year: 2023

Type: article

Abstract: We consider a linearized kinetic BGK equation and the associated acoustic system on a network. Coupling conditions for the macroscopic equations are derived from the kinetic conditions via an asymptotic analysis near the nodes of the network. This analysis leads to the consideration of a fixpoint problem involving the solutions of kinetic half-space problems. This work extends the procedure developed in [15], where coupling conditions for a simplified BGK model have been derived. Numerical comparisons between different coupling conditions confirm the accuracy of the proposed approximation.

Source: Kinetic and Related Models

DOI: 10.3934/krm.2023029

Authors: Ikrom Akramov, Raul Borsche, Nils Eckhard, Axel Klar

Institutions: Hamburg University of Technology, University of Kaiserslautern, Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau, Fraunhofer Institute for Industrial Mathematics

Language: English

Topic: Gas Dynamics and Kinetic Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4385321360

FWCI: 0.454

Cites: 40

Cited by: 1

Related to: 10