Shock Waves in Solid Medium and Numerical Solutions of its One-Dimensional and First-Order Nonlinear Evolution Equations

doi:10.7523/j.issn.2095-6134.2002.4.014

›› 2002, Vol. 19 ›› Issue (4): 422-427.DOI: 10.7523/j.issn.2095-6134.2002.4.014

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Shock Waves in Solid Medium and Numerical Solutions of its One-Dimensional and First-Order Nonlinear Evolution Equations

ZHENG Hai Shan¹, YANG Bao Jun², LIU Cai², FENG Xuan²

1. Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100101;
2. The Geophysics department of Jilin University, Changchun 130026

Received:2001-12-31 Revised:2002-03-22 Online:2002-07-18

Abstract

Abstract:

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

CLC Number:

O347.4

ZHENG Hai Shan, YANG Bao Jun, LIU Cai, FENG Xuan. Shock Waves in Solid Medium and Numerical Solutions of its One-Dimensional and First-Order Nonlinear Evolution Equations[J]. , 2002, 19(4): 422-427.

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Shock Waves in Solid Medium and Numerical Solutions of its One-Dimensional and First-Order Nonlinear Evolution Equations

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