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The goal of this work is to follow the displacement and possible deformationof a free particle in a fluid flow in 2D axi-symmetry, 2D or 3D using theclassical finite elements method without the usual drawbacks finite elementsbring for fluid-structure interaction, i.e. huge numerical problems and strongmesh distortions. Working with finite elements is a choice motivated by thefact that finite elements are well known by a large majority of researchers andare easy to manipulate. The method we describe in this paper, called the cameramethod, is well adapted to the study of a single particle in a network and mostparticularly when the study focuses on the particle behaviour. The cameramethod is based on two principles: 1/ the fluid structure interaction problemis restricted to a neighbourhood of the particle, thus reducing drastically thenumber of degrees of freedom of the problem; 2/ the neighbourhood mesh movesand rotates with the particle, thus avoiding most of the mesh distortions thatoccur in a standard ALE method. In this article, we present the camera methodand the conditions under which it can be used. Then we apply it to severalexamples from the literature in 2D axi-symmetry, 2D and 3D.

The camera method, or how to track numerically a deformable particle moving in a fluid network