A vorticity based approach to handle the fluid-structure interaction problems

作者：Farahbakhsh Iman^*; Ghassemi Hassan; Sabetghadam Fereidoun

来源：Fluid Dynamics Research, 2016, 48(1): 015509.

DOI：10.1088/0169-5983/48/1/015509

• fluid-structure interaction
• velocity-vorticity formulation
• immersed boundary method
• level set function

A vorticity based approach for the numerical solution of the fluid-structure interaction problems is introduced in which the fluid and structure(s) can be viewed as a continuum. Retrieving the vorticity field and recalculating a solenoidal velocity field, specially at the fluid-structure interface, are the kernel of the proposed algorithm. In the suggested method, a variety of constitutive equations as a function of left Cauchy-Green deformation tensor can be applied for modeling the structure domain. A nonlinear Mooney-Rivlin and Saint Venant-Kirchhoff model are expressed in terms of the left Cauchy-Green deformation tensor and the presented method is able to model the behavior of a visco-hyperelastic structure in the incompressible flow. Some numerical experiments, with considering the neo-Hookean model for structure domain, are executed and the results are validated via the available results from literature.

• 出版日期2016-2