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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:230

Article

Sugiyama, Kazuyasu¹  Ii, Satoshi¹  Takeuchi, Shintaro¹  Takagi, Shu^1,2  Matsumoto, Yoichiro¹ 

[1] Univ Tokyo, Sch Engn, Dept Mech Engn, Bunkyo Ku, Tokyo 1138656, Japan

[2] RIKEN, CSRP, Organ & Body Scale Team, Wako, Saitama 3510198, Japan

关键词: Fluid-structure interaction;    Finite difference method;    Eulerian formulation;    Volume-of-fluid;    Hyperelastic material;   

DOI  :  10.1016/j.jcp.2010.09.032

来源: Elsevier

【 摘 要 】

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, Nichols, J. Comput. Phys. 39 (1981) 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. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free