Convergence Analysis of a Penalization Method for the Three-Dimensional Motion of a Rigid Body in an Incompressible Viscous Fluid | Zendy

CA Bost | Zendy; GeorgesHenri Cottet | Zendy; Emmanuel Maitre | Zendy

Open Access

Convergence Analysis of a Penalization Method for the Three-Dimensional Motion of a Rigid Body in an Incompressible Viscous Fluid

Author(s) -

CA Bost,

GeorgesHenri Cottet,

Emmanuel Maitre

Publication year - 2010

Publication title -

siam journal on numerical analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.78

H-Index - 134

eISSN - 1095-7170

pISSN - 0036-1429

DOI - 10.1137/090767856

Subject(s) - compressibility , convergence (economics) , mathematics , flow (mathematics) , mathematical analysis , incompressible flow , rigid body , variable (mathematics) , fluid dynamics , viscous liquid , motion (physics) , flow velocity , classical mechanics , mechanics , geometry , physics , economics , economic growth

International audienceWe present and analyze a penalization method wich extends the the method of [1] to the case of a rigid body moving freely in an incompressible fluid. The fluid-solid system is viewed as a single variable density flow with an interface captured by a level set method. The solid velocity is computed by averaging at avery time the flow velocity in the solid phase. This velocity is used to penalize the flow velocity at the fluid-solid interface and to move the interface. Numerical illustrations are provided to illustrate our convergence result. A discussion of our result in the light of existing existence results is also given. [1] Ph. Angot, C.-H. Bruneau and P. Fabrie, A penalization method to take into account obstacles in incompressible viscous flows, Numer. Math. 81: 497--520 (1999

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