Westervelt Equation Simulation on Manifold using DEC
Numerical Analysis
2010-01-14 v1
Abstract
The Westervelt equation is a model for the propagation of finite amplitude ultrasound. The method of discrete exterior calculus can be used to solve this equation numerically. A significant advantage of this method is that it can be used to find numerical solutions in the discrete space manifold and the time, and therefore is a generation of finite difference time domain method. This algorithm has been implemented in C++.
Cite
@article{arxiv.1001.2082,
title = {Westervelt Equation Simulation on Manifold using DEC},
author = {Zheng Xie and Yujie Ma},
journal= {arXiv preprint arXiv:1001.2082},
year = {2010}
}
Comments
8 pages,4 figures