A full Eulerian finite difference approach for solving fluid-structure coupling problems

Details A full Eulerian finite difference approach for solving fluid-structure coupling problems A full Eulerian finite difference approach for solving fluid-structure coupling problems

2010-09-19

arxiv.org/abs/1009.3609v1

Physics

Computational Physics

38 pages, 27 figures, accepted for publication in J. Comput. Phys

Scientific paper

A new simulation method for solving fluid-structure coupling problems has been developed. All the basic equations are numerically solved on a fixed Cartesian grid using a finite difference scheme. A volume-of-fluid formulation (Hirt and Nichols (1981, J. Comput. Phys., 39, 201)), which has been widely used for multiphase flow simulations, is applied to describing the multi-component geometry. The temporal change in the solid deformation is described in the Eulerian frame by updating a left Cauchy-Green deformation tensor, which is used to express constitutive equations for nonlinear Mooney-Rivlin materials. In this paper, various verifications and validations of the present full Eulerian method, which solves the fluid and solid motions on a fixed grid, are demonstrated, and the numerical accuracy involved in the fluid-structure coupling problems is examined.

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