Computational Mathematics and Scientific Computing Seminar

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Fast Boundary Element Methods to simulate underwater explosions and their interactions with submarines

Speaker: Stephanie Chaillat, ENSTA Paris

Location: Warren Weaver Hall 1302

Date: Oct. 28, 2022, 10 a.m.

Synopsis:

Assessing the impact of underwater explosions on submerged structures (submarines) is an important naval engineering problem. An underwater explosion mainly induces two distinct phenomena: a "shock wave" followed by an oscillating bubble of gas. Our goal is to create an efficient numerical method that accounts for the effects of both phenomena on submerged structures. Due to the unbounded nature of the ocean and the complex mechanical behavior of the submarine we want to take into account, it is natural to consider a Boundary Element Method/Finite Element Method (BEM/FEM) coupling. I will present how we can take advantage of fast BEMs in the frequency domain to model this time-domain problem, all the necessary improvements to be able to consider realistic configurations and the consequences on the convergence of the FEM/BEM coupling.