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dc.rights.licenseopenen_US
hal.structure.identifierInstitut de Mécanique et d'Ingénierie [I2M]
dc.contributor.authorCALTAGIRONE, Jean-Paul
dc.contributor.authorANGOT, Philippe
dc.date.accessioned2021-06-14T14:52:02Z
dc.date.available2021-06-14T14:52:02Z
dc.date.issued2021
dc.identifier.isbn978-3-030-65820-5en_US
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/79128
dc.description.abstractEnThe primary objective of discrete mechanics is to unify various laws fromdifferent areas of physics, such as fluid mechanics and solid mechanics. The sameobjective was also pursued by continuum mechanics, but the latter has not been en-tirely successful in accomplishing it. The Galilean invariance and the principle ofequivalence make it possible to rewrite the law of dynamics as an equality betweenaccelerations, the one undergone by the medium and the external accelerations ap-plied to it. The derivation of the equation of discrete motion leads to writing theacceleration as a Hodge-Helmholtz decomposition,i.e.the sum of a gradient of ascalar potential and the rotational of a vector potential. By choosing the accelerationas being a primary variable, we can express the velocity and the displacement simplyas quantities that accumulate over time. Potentials represent energies per unit massand are also stored over time. The resulting formulation is able to describe the mo-tion and dynamics of complex media, that can be both fluid and solid, under largedeformations and large displacements. Two examples of fluid-structure coupling,an analytical solution and a numerical solution used for a benchmark, are presentedhere. They show the ability of the model to reproduce the behavior of interactingfluid and solid media
dc.language.isoENen_US
dc.publisherSpringeren_US
dc.source.titleTurbulence and Interactions. Notes on Numerical Fluid Mechanics and Multidisciplinary Design.en_US
dc.title.enFluid-Structure Interactions in Discrete Mechanics
dc.typeChapitre d'ouvrageen_US
dc.identifier.doi10.1007/978-3-030-65820-5en_US
dc.subject.halSciences de l'ingénieur [physics]/Mécanique [physics.med-ph]en_US
bordeaux.volume149en_US
bordeaux.hal.laboratoriesInstitut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295en_US
bordeaux.institutionUniversité de Bordeauxen_US
bordeaux.institutionBordeaux INPen_US
bordeaux.institutionCNRSen_US
bordeaux.institutionINRAEen_US
bordeaux.institutionArts et Métiersen_US
bordeaux.inpressnonen_US
hal.identifierhal-03419603
hal.exportfalse
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