Arbitrary Lagrangian-Eulerian formulation for fluid-rigid body interaction
A new formulation for two-dimensional fluid–rigid body interaction problems is developed. In particular, vortex-induced oscillations of a rigid body in viscous incompressible flow are studied. The incompressible Navier–Stokes equations are used to describe the motion of the fluid, while it is assume...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2001 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/8496 |
| Acceso en línea: | https://hdl.handle.net/2117/8496 https://dx.doi.org/10.1016/S0045-7825(00)00387-X |
| Access Level: | acceso abierto |
| Palabra clave: | Fluid-structure interaction Lagrange equations Navier-Stokes equations Fluid–structure interaction Arbitrary Lagrangian–Eulerian formulation Vortex shedding Induced oscillations Large boundary motion Transient Navier–Stokes Mecànica dels fluids -- Mètodes numèrics Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids |
| Sumario: | A new formulation for two-dimensional fluid–rigid body interaction problems is developed. In particular, vortex-induced oscillations of a rigid body in viscous incompressible flow are studied. The incompressible Navier–Stokes equations are used to describe the motion of the fluid, while it is assumed that the rigid body is mounted on a system consisting of a spring and a dashpot. An arbitrary Lagrangian–Eulerian formulation (ALE) is used in order to account for large boundary motion. A general formulation for the coupled problem is obtained by uncoupling the translation motion of the body from its rotational motion and developing a specific algorithm to efficiently handle the nonlinear dependence of the rotations. This general formulation can be easily applied to multi-body problems. Two numerical examples involving either translations and rotations are presented as an illustration of the proposed methodologies for fluid–rigid body interaction. |
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