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Unsteady residual distribution schemes adapted to immersed boundary methods on unstructured grids to account for moving bodies

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierInstitut Polytechnique de Bordeaux
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorBEAUGENDRE, Héloïse
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorNOUVEAU, Léo
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorDOBRZYNSKI, Cecile
hal.structure.identifierUniversität Zürich [Zürich] = University of Zurich [UZH]
dc.contributor.authorABGRALL, Remi
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorRICCHIUTO, Mario
dc.date.accessioned2024-04-04T03:16:06Z
dc.date.available2024-04-04T03:16:06Z
dc.date.conference2015-07-26
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194192
dc.description.abstractEnThe interest on immersed boundary methods (IBM) increases in Computational Fluid Dynamics because they simplify the mesh generation problem when dealing with the Navier-Stokes equations. To give a few examples, they simplify the simulation of multi-physics flows, the coupling of fluid-solid interactions in situation of large motions or deformations. Nevertheless an accurate treatment of the wall boundary conditions remains an issue of the method. In this work, a penalty term added to the Navier-Stokes equations accounts for the wall boundary conditions and accuracy is recovered using unstructured mesh adaptation. When a penalization technique is used as an IBM, the idea is to extend the velocity field inside the solid body (penalty term) in order to enforce rigid motion of this body. A level set function, the sign distance function to the solids, is used to capture interfaces of the solid bodies. Our numerical simulations are performed on unstructured anisotropic meshes (2D-triangles or 3D-tetrahedra) and we propose to combine our level-set based penalization approach to mesh adaptation [1]. The idea is to conserve the simplicity of the embedded approaches for grid generation process and overcome the difficulty of wall treatments by using mesh adaptation. Mesh adaptations are performed using two criteria, the distance to the level-set 0 (interface of the solid body) and the quality of the flow solution (Hessian of the velocity component or the density). Using some test cases we demonstrate the ability of the proposed method to obtain an accurate solution along with an accurate wall treatment even when the initial mesh does not contain any point on the level-set 0. Residual distribution schemes on unstructured meshes [2] are used to solve the equations: an implicit scheme for steady flows and an explicit one along with a specific splitting algorithm for penalized unsteady flows. Those numerical schemes allow the construction of a high order method with compact stencil to ease parallelism. Validations of the proposed method are performed using static and moving bodies.[1] R. Abgrall, H. Beaugendre, and C. Dobrzynski. An immersed boundary method using unstructuredanisotropic mesh adaptation combined with level-sets and penalization techniques. JCP, 257:83–101,2014.[2] M. Ricchiuto and R. Abgrall. Explicit Runge-Kutta residual distribution schemes for time dependentproblems: second order case. JCP, 229(16):5653–5691, 2010.
dc.language.isoen
dc.title.enUnsteady residual distribution schemes adapted to immersed boundary methods on unstructured grids to account for moving bodies
dc.typeCommunication dans un congrès
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halInformatique [cs]/Modélisation et simulation
dc.subject.halPhysique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph]
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.conference.title13th US National Congress on Computational Mechanics
bordeaux.countryUS
bordeaux.conference.citySan Diego
bordeaux.peerReviewedoui
hal.identifierhal-01257678
hal.version1
hal.invitednon
hal.proceedingsnon
hal.conference.end2015-07-30
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01257678v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BEAUGENDRE,%20H%C3%A9lo%C3%AFse&NOUVEAU,%20L%C3%A9o&DOBRZYNSKI,%20Cecile&ABGRALL,%20Remi&RICCHIUTO,%20Mario&rft.genre=unknown


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