A Unified arbitrary lagrangian-eulerian model for fluid-structure interaction problems involving flows in flexible channels
In this work a finite element-based model for analyzing incompressible flows in flexible channels is presented. The model treats the fluid-solid interaction problem in a monolithic way, where the governing equations for both sub-domains are solved on a single moving grid taking advantage of an arbit...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/383860 |
| Acesso em linha: | https://hdl.handle.net/2117/383860 https://dx.doi.org/10.1007/s10915-021-01748-w |
| Access Level: | acceso abierto |
| Palavra-chave: | Lagrangian functions Eulerian graph theory Multigrid methods (Numerical analysis) Fluid-structure interaction Computational fluid dynamics Flow in pipes Monolithic ALE FSI Multigrid Computational efficiency Dinàmica de fluids computacional Xarxes múltiples, Mètodes de (Anàlisi numèrica) Interacció fluid-estructura Àrees temàtiques de la UPC::Física::Física de fluids |
| Resumo: | In this work a finite element-based model for analyzing incompressible flows in flexible channels is presented. The model treats the fluid-solid interaction problem in a monolithic way, where the governing equations for both sub-domains are solved on a single moving grid taking advantage of an arbitrary Lagrangian/Eulerian framework (ALE). The unified implementation of the governing equations for both sub-domains is developed, where these are distinguished only in terms of the mesh-moving strategy and the constitutive equation coefficients. The unified formulation is derived considering a Newtonian incompressible fluid and a hypoelastic solid. Hypoelastic constitutive law is based on the strain rate and thus naturally facilitates employing velocity as a kinematic variable in the solid. Unifying the form of the governing equations and defining a semi-Lagrangian interface mesh-motion algorithm , one obtains the coupled problem formulated in terms of a unique kinematic variable. Resulting monolithic system is characterized by reduced variable heterogeneity resembling that of a single-media problem. The model used in conjunction with algebraic multigrid linear solver exhibits attractive convergence rates. The model is tested using a 2D and a 3D example. |
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