Nonlinear acoustic propagation in homentropic perfect gases: A numerical study

被引：28
|
作者：
Christov, I
Jordan, PM
Christov, CI
机构：
[1] Univ SW Louisiana, Dept Math, Lafayette, LA 70504 USA
[2] USN, Res Lab, Stennis Space Ctr, MS 39529 USA
来源：
PHYSICS LETTERS A | 2006年 / 353卷 / 04期
关键词：
Godunov-type MUSCL scheme; Lighthill-Westervelt equation; Euler equations; shock formation; acceleration waves;
D O I：
10.1016/j.physleta.2005.12.101
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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-tinie, blow-up at the wavefront. Additionally, analytical results are presented to support the numerical findings. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码：273 / 280
页数：8
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