Westervelt Equation Simulation on Manifold using DEC

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++.

8 pages,4 figures

References in corpus (2)

• Geometric Computational Electrodynamics with Variational Integrators and Discrete Differential Forms
• Computation of Maxwell's equations on Manifold using DEC