A fictitious domain/mortar element method for fluid-structure interaction. (English) Zbl 0979.76044
Summary: We develop a method for the computational analysis of fluid-structure interaction of a Newtonian fluid with slender bodies. It combines ideas of the fictitious domain and mortar element methods by imposing the continuity of velocity field along the interface by means of Lagrange multipliers. The key advantage of the method is that it circumvents the need for complicated mesh movement strategies common in arbitrary Lagrangian-Eulerian methods, usually used for this purpose.
MSC:
| 76M10 | Finite element methods applied to problems in fluid mechanics |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
| 74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |
Keywords:
fictitious domain/mortar element method; velocity field continuity; fluid-structure interaction; Newtonian fluid; slender bodies; Lagrange multipliersReferences:
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