2026-04-13T13:17:53Zhttps://recercat.cat/oai/request

oai:recercat.cat:2117/1901422025-07-16T22:14:33Zcom_2072_1033col_2072_452949

urn:hdl:2117/190142 Fluid-structure interaction and homogenization: from spatial averaging to continuous wavelet transform Mokhtari, S. Ricciardi, G. Faucher, V. Argoul, P. Adelaide, L. Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits Finite element method Coupled problems (Complex systems) -- Numerical solutions fluid-structure interaction, compressible flow, spatial filtering, multi-scale, homogenization, wavelets Elements finits, Mètode dels Fluid-structure interaction (FSI) is classicaly modeled according a separated and local approach. It enables to take full advantage of the numerical methods specifically designed for each medium. However, it requires to take great care of the interface, and to exchange, between the algorithms, the information related to boundary conditions [1]. This treatment of the interface can quickly become too cumbersome in complex flow geometries, as in the industrial case study driving this work: an inviscid compressible flow interacting with French PWR fuel assemblies (Fig. 1a). In such specific applications, where the solid medium exhibits a discontinuous but periodic design, an homogenized and global approach is preferred [2]. Inspired by porous media [3, 4], multiphase flows, or Large Eddy Simulation (LES), it relies on a spatial averaging of the balance equations, thus allowing to remove all interfaces. However, such filtering techniques exhibit two major limitations: first, they do not deal properly with boundary conditions, due to the non-commutativity between the filtering operator and spatial derivatives, as detailed in [5, 6, 7] for LES; second, filtering implies loss of microscopic information, and thus requires a closure model to describe interactions between resolved and unresolved scales. 2019 Conference report Open Access CIMNE