Time-Domain Analysis of Fluid-Structure Interaction

    Considering Viscous Fluid

    Yang Kwang Ahn



There are many cases where it is assumed that the objective fluid is ideal and so few it is viscous in the existing studies on fluid-structure interaction that it is necessary the analysis in consideration of the effects of the viscosity of fluid.

   Penalty formulation is used to solve continuity equation and Navier-Stokes equation that is governing equation of viscous fluid.

   It is necessary to unify the different view point of fluid and structure. In this study, the relative motion formulation proposed by Washizu is used to solve this problem. The relative motion formulation is that the idea of relative velocity is used instead of the absolute velocity to solve the fluid problem in the Eulerian view.

   SUPG(streamline upwind / Petrov-Galerkin) formulation and selective reduced integration are used to solve the numerical instability that is produced when viscous fluid is analyzed by finite element method.


Key Word

sloshing, Navier-Stokes equation, penalty formulation, relative motion formulation, SUPG formulation, selective reduced integration


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