Perfectly matched layers for the Boltzmann equation: stability and sensitivity analysis
Numerical Analysis
2024-05-01 v2 Numerical Analysis
Computational Physics
Abstract
We study the stability and sensitivity of an absorbing layer for the Boltzmann equation by examining the Bhatnagar-Gross-Krook (BGK) approximation and using the perfectly matched layer (PML) technique. To ensure stability, we discard some parameters in the model and calculate the total sensitivity indices of the remaining parameters using the ANOVA expansion of multivariate functions. We conduct extensive numerical experiments on two test cases to study stability and compute the total sensitivity indices, which allow us to identify the essential parameters of the model.
Keywords
Cite
@article{arxiv.2312.03273,
title = {Perfectly matched layers for the Boltzmann equation: stability and sensitivity analysis},
author = {Marco Sutti and Jan S. Hesthaven},
journal= {arXiv preprint arXiv:2312.03273},
year = {2024}
}
Comments
29 pages, 3 figures, 12 tables