Boundary conditions for semi-Lagrangian methods for the BGK model

Maria Groppi; Giovanni Russo; Giuseppe Stracquadanio

doi:10.1515/caim-2016-0025

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Boundary conditions for semi-Lagrangian methods for the BGK model

Communications in Applied and Industrial Mathematics

Volume 7 (2016): Issue 3 (September 2016)

By: Maria Groppi, Giovanni Russo and Giuseppe Stracquadanio

Open Access

|Oct 2016

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.

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Articles in this issue

DOI: https://doi.org/10.1515/caim-2016-0025 | Journal eISSN: 2038-0909

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Language: English

Page range: 138 - 164

Submitted on: May 29, 2015

Accepted on: Dec 16, 2015

Published on: Oct 1, 2016

Published by: Italian Society for Applied and Industrial Mathemathics

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

BGK equation,

semi-Lagrangian methods,

high-order schemes,

boundary conditions

Related subjects:

Mathematics,

Numerical and computational mathematics,

Applied mathematics

© 2016 Maria Groppi, Giovanni Russo, Giuseppe Stracquadanio, published by Italian Society for Applied and Industrial Mathemathics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 7 (2016): Issue 3 (September 2016)