On Direction Preserving Discretizations for Computing Phase-Space Densities

Autor:	Chappell, David J., Richter, Martin, Tanner, Gregor
Rok vydání:	2023
Předmět:	Physics - Computational Physics Mathematics - Numerical Analysis
Druh dokumentu:	Working Paper
DOI:	10.1063/5.0162265
Popis:	Ray flow methods provide efficient tools for modelling wave energy transport in complex systems at high-frequencies. We compare two Petrov-Galerkin discretizations of a phase-space boundary integral model for stationary wave energy densities in two-dimensional domains. The directional dependence is approximated using a finite set of directions oriented into the domain from the boundary. The propagation direction can be preserved across multi-component domains when the directions within the local set for a given region of the boundary are taken as a subset of a global direction set. In this work we compare the use of piecewise constant and piecewise linear test functions, which physically corresponds to the interpolation scheme used when the transport is in a direction not belonging to the finite global set. Comment: 4 pages, 2 figures, Proceedings of ICNAAM 2021
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.17120 Zobrazit plný text záznamu View this record from Arxiv