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Paper Information

Journal:   JOURNAL OF FACULTY OF ENGINEERING (UNIVERSITY OF TEHRAN)   December 2003 , Volume 37 , Number 3 (81); Page(s) 389 To 401.
 
Paper: 

SIMULATION OF THE DYNAMICS OF UNDERWATER EXPLOSIVE BUBBLE USING A THIRD ORDER LAGRANGIAN METHOD

 
 
Author(s):  MAZAHERI K., TAHERI P.
 
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Abstract: 

Using underwater shock waves produced by underwater explosion of high explosives (HE) has been studied, as a manufacturing process of metals, for many years. Although early studies on this subject had mainly military motivation, many investigations have recently been conducted in other industrial fields. The main aim of these research are to understand the details of the motion of spherical bubble produced by HE explosion as well as the subsequent flow field generated by the motion of a strong shock wave in the water. Due to the limitation of computing facilities, the early numerical simulations of underwater explosion phenomenon were performed by crude numerical methods (e.g., Stenberg et al. 1971). In those works the linear artificial viscosity of von Neumann was used to prevent the numerical instability close to the shock (the so-called q-method). Flores and Holt (1981) applied Glimms method to underwater explosion of an uniform spherical bubble. Their study showed the capability of new methods to study the problem. Molyneaux et al. (1996) used the finite element program DYNA3D and observed that numerical tools are able to predict well both the magnitude and form of the pressure transient field. Their simulation was performed for a cylindrical charge. In the present study, a third order Godunov method has been utilized in the framework of a Lagrangian approach to investigate the entire flow field generated by underwater explosion of a spherical bubble. The developed code is based on the Piecewise Parabolic Method (PPM) of Collela (Colella et. al.1984). The original PPM which was developed for ideal gases, here is extended to treat the real gas effect. The water and the explosion products were treated using Mie-Gruneisen and JWL equation of states, respectively. The processes of shock and expansion waves reflection from the origin and interaction with the gas/water interface are fully resolved with the present method.

 
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