Validation of an immersed thick boundary method for simulating fluid–structure interactions of deformable membranes

Autor: Franck Nicoud, Julien Sigüenza, Frédéric Dubois, Dominique Ambard, Franck Jourdan, Rémy Mozul, Simon Mendez
Přispěvatelé: Institut Montpelliérain Alexander Grothendieck (IMAG), Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Mécanique et Génie Civil (LMGC), Biomécanique des Interactions et de l'Organisation des Tissus et des Cellules (BIOTIC), Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS)-Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS), Réseaux, Moyens Informatiques, Calcul Scientifique (Remics), Institut Montpelliérain Alexander Grothendieck ( IMAG ), Université de Montpellier ( UM ) -Centre National de la Recherche Scientifique ( CNRS ), Laboratoire de Mécanique et Génie Civil ( LMGC ), Biomécanique des Interactions et de l'Organisation des Tissus et des Cellules ( BIOTIC ), Université de Montpellier ( UM ) -Centre National de la Recherche Scientifique ( CNRS ) -Université de Montpellier ( UM ) -Centre National de la Recherche Scientifique ( CNRS ), Réseaux, Moyens Informatiques, Calcul Scientifique ( Remics )
Jazyk: angličtina
Rok vydání: 2016
Předmět:
[ MATH ] Mathematics [math]
[ INFO.INFO-MO ] Computer Science [cs]/Modeling and Simulation
Physics and Astronomy (miscellaneous)
[PHYS.PHYS.PHYS-BIO-PH]Physics [physics]/Physics [physics]/Biological Physics [physics.bio-ph]
[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]
Geometry
01 natural sciences
010305 fluids & plasmas
Physics::Fluid Dynamics
symbols.namesake
Unstructured fluid solver
[ PHYS.PHYS.PHYS-BIO-PH ] Physics [physics]/Physics [physics]/Biological Physics [physics.bio-ph]
0103 physical sciences
Fluid–structure interaction
Fluid-structure interaction
Thick membranes
0101 mathematics
[MATH]Mathematics [math]
Mathematics
Immersed boundary method
Numerical Analysis
Applied Mathematics
Reynolds number
Mechanics
Solver
Finite-element method
Boundary knot method
[INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation
Finite element method
Computer Science Applications
010101 applied mathematics
Computational Mathematics
Membrane
Modeling and Simulation
Compressibility
symbols
[ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph]
Zdroj: Journal of Computational Physics
Journal of Computational Physics, Elsevier, 2016, 322, pp.723-746. ⟨10.1016/j.jcp.2016.06.041⟩
Journal of Computational Physics, Elsevier, 2016, 322, pp.723-746. 〈10.1016/j.jcp.2016.06.041〉
ISSN: 0021-9991
1090-2716
DOI: 10.1016/j.jcp.2016.06.041⟩
Popis: International audience; This paper constitutes an extension of the work of Mendez, Gibaud & Nicoud: An unstructured solver for simulations of deformable particles in flows at arbitrary Reynolds numbers, Journal of Computational Physics, 256(1): 465-483 (2014), for three-dimensional simulations of deformable membranes under flow. An immersed thick boundary method is used, combining the immersed boundary method with a three-dimensional modeling of the structural part. The immersed boundary method is adapted to unstructured grids for the fluid resolution, using the reproducing kernel particle method. An unstructured finite-volume flow solver for the incompressible Navier-Stokes equations, is coupled with a finite-element solver for the structure. The validation process relying on a number of test cases proves the efficiency of the method, and its robustness is illustrated when computing the dynamics of a tri-leaflet aortic valve. The proposed immersed thick boundary method is able to tackle applications involving both thin and thick membranes/closed and open membranes, in significantly high Reynolds number flows and highly complex geometries.
Databáze: OpenAIRE
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