<abstract xmlns="http://www.w3.org/1999/xhtml"><p> A new class of high-order accuracy numerical methods based on a semi-Lagrangian formulation for the BGK model of the Boltzmann equation has been recently proposed in [1]. In this paper semi-Lagrangian schemes for the BGK equation have been extended to treat boundary conditions, in particular the diffusive ones. Two different techniques are proposed, using or avoiding iterative procedures. Numerical simulations illustrate the accuracy properties of these approaches and the agreement with the results available in literature.</p></abstract>

A new class of high-order accuracy numerical methods based on a semi-Lagrangian formulation for the BGK model of the Boltzmann equation has been recently proposed in [1]. In this paper semi-Lagrangian schemes for the BGK equation have been extended to treat boundary conditions, in particular the diffusive ones. Two different techniques are proposed, using or avoiding iterative procedures. Numerical simulations illustrate the accuracy properties of these approaches and the agreement with the results available in literature.

Boundary conditions for semi-Lagrangian methods for the BGK model

Dipartimento di Matematica e Informatica Università degli Studi di Parma,

Dipartimento di Matematica e Informatica Università degli Studi di Catania,

Communications in Applied and Industrial Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Boundary conditions for semi-Lagrangian methods for the BGK model"}

A new class of high-order accuracy numerical methods based on a semi-Lagrangian formulation for the BGK model of the Boltzmann equation has been recently...

Boundary conditions for semi-Lagrangian methods for the BGK model

Published Online: Oct 01, 2016

Page range: 138 - 164

Received: May 29, 2015

Accepted: Dec 16, 2015

DOI: https://doi.org/10.1515/caim-2016-0025

Keywords
BGK equation, semi-Lagrangian methods, high-order schemes, boundary conditions

© 2016

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Boundary conditions for semi-Lagrangian methods for the BGK model

Published Online: Oct 01, 2016

Page range: 138 - 164

Received: May 29, 2015

Accepted: Dec 16, 2015

DOI: https://doi.org/10.1515/caim-2016-0025

KeywordsBGK equation, semi-Lagrangian methods, high-order schemes, boundary conditions

© 2016

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
BGK equation, semi-Lagrangian methods, high-order schemes, boundary conditions