收稿日期: 2001-12-31
修回日期: 2002-03-22
网络出版日期: 2002-07-18
Shock Waves in Solid Medium and Numerical Solutions of its One-Dimensional and First-Order Nonlinear Evolution Equations
Received date: 2001-12-31
Revised date: 2002-03-22
Online published: 2002-07-18
郑海山 , 杨宝俊 , 刘财 , 冯晅 . 固体中冲击波及其一维一阶非线性演化方程数值模拟[J]. 中国科学院大学学报, 2002 , 19(4) : 422 -427 . DOI: 10.7523/j.issn.2095-6134.2002.4.014
A definition to shock waves in solid medium, namely, a clear description to its fundamental properties, was given in this paper.We regard the thin area of waves in solid medium with sharp changing of its physical character as shock waves.Four different kinds of initial conditions were given to study the properties of the distance of shock wave formed in solid medium.The effect of factors, such as amplitude, initial frequency, nonlinear coeff iciency, etc.on the distance of shock w aves w ere studied in some details.Numerical methods, the explict MacCormack and MacCormack TVD schemes with finite differences, were used to study shock waves in solid respectively, which avoid causing some unphysical solutions.
Key words： shock wave; nonlinear evolution equation; numerical method
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