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We consider the interaction between an air-water flow and a rigid structure using a fast accurate numerical model. Following the 3D low Mach compressible Euler model previously developed and validated, a compressible fluid-structure interaction model is proposed. In the context of a fictitious domain, a volumic penalization is applied inside the body to ensure a rigidity constraint through a penalized velocity in order to get the correct motion of the rigid body. The accuracy of this simple model is improved using block-based adaptive mesh refinement technique. The improvement and the validity of our fluid-structure interaction procedure is investigated through the numerical simulation of the water entry of a cylinder freely falling and impacting the water. This test case is compared to experimental data and other numerical simulations.

MONOLITHIC FLUID STRUCTURE INTERACTION MODEL, APPLICATION TO WATER ENTRY PROBLEM