Westervelt Equation Simulation on Manifold using DEC

2010/01/13 by Zheng Xie, Yujie Ma, Xie, Zheng +1
Computer Science · Engineering · #35J05 #3D Shape Modeling and Analysis #53A25 #65M08 #65M12 #Advanced Numerical Analysis Techniques #Computer Graphics and Visualization Techniques #FOS: Mathematics #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1001.2082

openalex publication_date 2010/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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++.

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