Mathematical modeling of shock-structure interaction
Serguei Iakovlev
Delhousie University
Abstract:
Numerical simulation of shock-structure interaction is considered using an approach based on the combination of some of the classical methods of mathematical physics with the finite-difference methodology. The focus of the presentation is on the interaction between weak shock waves and cylindrical structures filled with and/or submerged into fluid, with the main area of application being ocean engineering and naval architecture. The models developed are first validated using the available experimental data, and a good agreement is observed. Then, they are used to analyze the interaction with the focus on the aspects that have been given little or no attention in the earlier studies. In particular, the examination of the internal field in a submerged fluid-filled shell reveals the existence of a number of important shock wave reflection and focusing phenomena, including the high primary and secondary focusing pressure and the development of multiple reflection. A shell filled with and submerged into two different fluids is also considered, and it is observed that there are up to four qualitatively different scenarios of the interaction possible, including a reflection-focusing sequence that is completely different from the classical case of internal reflection. Finally, the most recent development is summarized, namely modeling a structurally enhanced system consisting of a submerged fluid-filled shell with a rigid co-axial core added to it, and the presence of the core is shown to result in significant changes of the interaction pattern observed in the no-core case. The practical relevance is highlighted for all effects and phenomena discussed.