A Gaussian-like immersed-boundary kernel with three continuous derivatives and improved translational invariance
A Gaussian-like immersed-boundary kernel with three continuous derivatives and improved translational invariance
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DOI：
10.1016/j.jcp.2016.04.024
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发表时间：
2016-07-01
影响因子：
4.1
通讯作者：
Peskin, Charles S.
中科院分区：
文献类型：
--
作者：
Bao, Yuanxun;Kaye, Jason;Peskin, Charles S.
浸没边界OM法是研究弹性结构浸没在粘性不可压缩流体中的流固相互作用问题的一般数学框架。在IB公式中，欧拉变量描述的流体通过狄拉克函数与拉格朗日变量描述的浸入结构耦合。从数值角度来看，拉格朗日力扩展和欧拉速度插值是由正则化的紧支持离散δ函数进行的，该函数被假设为单变量浸没边界核的张量积。IB核是由一组旨在实现近似网格平移不变性，插值精度和计算效率的假设推导出来的。在这篇文章中，我们提出了一个新的6点浸入边界核，它是C-3，与其他常见的IB核相比，它的平移不变性得到了很大的改善。(C) 2016 Elsevier Inc.版权所有。
The immersed boundary OM method is a general mathematical framework for studying problems involving fluid-structure interactions in which an elastic structure is immersed in a viscous incompressible fluid. In the IB formulation, the fluid described by Eulerian variables is coupled with the immersed structure described by Lagrangian variables via the use of the Dirac delta function. From a numerical standpoint, the Lagrangian force spreading and the Eulerian velocity interpolation are carried out by a regularized, compactly supported discrete delta function, which is assumed to be a tensor product of a single-variable immersed-boundary kernel. IB kernels are derived from a set of postulates designed to achieve approximate grid translational invariance, interpolation accuracy and computational efficiency. In this note, we present a new 6-point immersed-boundary kernel that is C-3 and yields a substantially improved translational invariance compared to other common IB kernels. (C) 2016 Elsevier Inc. All rights reserved.