On energy preserving high-order discretizations for nonlinear acoustics
Numerical Analysis
2019-12-17 v1 Numerical Analysis
Abstract
This paper addresses the numerical solution of the Westervelt equation, which arises as one of the model equations in nonlinear acoustics. The problem is rewritten in a canonical form that allows the systematic discretization by Galerkin approximation in space and time. Exact energy preserving methods of formally arbitrary order are obtained and their efficient realization as well as the relation to other frequently used methods is discussed.
Keywords
Cite
@article{arxiv.1912.07037,
title = {On energy preserving high-order discretizations for nonlinear acoustics},
author = {Herbert Egger and Vsevolod Shashkov},
journal= {arXiv preprint arXiv:1912.07037},
year = {2019}
}