Monolithic Fluid Structure Interaction Model, Application to Water Entry Problem

Frederic Golay (1)

1 IMATH - Institut de Mathématiques de Toulon - EA 2134

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 ensur 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.

Mots clés: Euler equations; low Mach; compressible; bi-fluid; mesh refinement; fluid-structure interaction; fictitious domain; penalization; projection method; interface-sharpening

Domaines: Mécanique [physics.med-ph]

Frederic Golay. Monolithic Fluid Structure Interaction Model, Application to Water Entry Problem. Topical Problems of Fluid Mechanics 2018, Feb 2018, Prague, Czech Republic. ⟨10.14311/TPFM.2018.016⟩. ⟨hal-01805263⟩