An enhanced Immersed Structural Potential Method for fluid-structure interaction
An enhanced Immersed Structural Potential Method for fluid-structure interaction
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DOI：
10.1016/j.jcp.2013.05.011
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发表时间：
2013-10-01
影响因子：
4.1
通讯作者：
Hassan, O.
中科院分区：
文献类型：
--
作者：
Gil, A. J.;Carreno, A. Arranz;Hassan, O.
在用于流固耦合问题数值模拟的浸入式边界方法中，最近引入了浸入式结构势法（ISPM） （Gil et al., 2010）[1]，以克服现有浸入式方法的一些缺点。在ISPM中，不可压缩的浸入固体被建模为一个偏应变能泛函，其空间梯度定义了用于求解底层不可压缩牛顿粘性流体的Navier-Stokes方程中的流固相互作用力场。本文介绍了该方法的两个改进。首先，引入了一种新的基于样条的核函数族，用于两种物理之间的信息传递。与经典的IBM核不同，这些新核不会在解决方案中引入虚假的振荡。其次，使用张紧高斯正交规则，允许对浸入结构势进行准确有效的数值积分。为了展示增强方法的能力，并在准确性、保留不可压缩约束和计算速度方面与其他现有浸入式方法进行一些关键比较，将提出一系列数值示例。(C) 2013爱思唯尔公司版权所有。
Within the group of immersed boundary methods employed for the numerical simulation of fluid-structure interaction problems, the Immersed Structural Potential Method (ISPM) was recently introduced (Gil et al., 2010) [1] in order to overcome some of the shortcomings of existing immersed methodologies. In the ISPM, an incompressible immersed solid is modelled as a deviatoric strain energy functional whose spatial gradient defines a fluid-structure interaction force field in the Navier-Stokes equations used to resolve the underlying incompressible Newtonian viscous fluid. In this paper, two enhancements of the methodology are presented. First, the introduction of a new family of spline-based kernel functions for the transfer of information between both physics. In contrast to classical IBM kernels, these new kernels are shown not to introduce spurious oscillations in the solution. Second, the use of tensorised Gaussian quadrature rules that allow for accurate and efficient numerical integration of the immersed structural potential. A series of numerical examples will be presented in order to demonstrate the capabilities of the enhanced methodology and to draw some key comparisons against other existing immersed methodologies in terms of accuracy, preservation of the incompressibility constraint and computational speed. (C) 2013 Elsevier Inc. All rights reserved.