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- W2185687079 abstract "This paper is concerned with the simulation of a viscous steady state flows interacting with a thin structure which experiences large wall displacements. In the theoretical section, we present our method based on an ALE formalism applied to a coupled solving algorithm. Then, two numerical applications , defined on an elastic membrane conveying a low Reynolds flow, are presented. Those examples are inspired by the biomechanical problem of collapsing veins. We have built an algorithm using an unique Finite Eelemnt code for fluid and structure solving. It is based on an iterative solving method. For each iteration, a steady flow problem is solved (using a standard Eulerian Navier-Stokes solver). The interface loads are then applied to the structure. The nonlinear equilibrium equations of the thin shell are then solved using an updated lagrangian algorithm. The boundary of the fluid geometry is then modified and the fluid mesh is consequently deformed. Different remeshing strategies are discussed, in order to accept the large displacements of the membrane. Results for Reynolds between 10 and 100 are presented and compared to computations taken from the literature. We shall focus on very large deformations of the membrane and on stability problems. The two dimensional example experiences very large mesh distortions and the 3D example shows unstable coupled behavior." @default.
- W2185687079 created "2016-06-24" @default.
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- W2185687079 date "2000-09-01" @default.
- W2185687079 modified "2023-10-16" @default.
- W2185687079 title "About numerical simulation of a non linear shell conveying a viscous flow" @default.
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