Article ID Journal Published Year Pages File Type
1865514 Physics Letters A 2006 8 Pages PDF
Abstract

A study of nonlinear acoustic waves in a homentropic perfect gas is presented. Conservation laws for the Euler and Lighthill–Westervelt equations are constructed and solved numerically using a Godunov-type finite-difference scheme. Simulations are carried out in the context of two initial-boundary-value problems (IBVP)s—one resulting in finite-time, and the other in infinite-time, blow-up at the wavefront. Additionally, analytical results are presented to support the numerical findings.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
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