Augmenting the immersed boundary method with Radial Basis Functions (RBFs) for the modeling of platelets in hemodynamic flows
Augmenting the immersed boundary method with Radial Basis Functions (RBFs) for the modeling of platelets in hemodynamic flows
复制标题
使用径向基函数 (RBF) 增强浸没边界法，用于血流动力学流动中的血小板建模
DOI：
10.1002/fld.4061
复制
发表时间：
2013
影响因子：
1.8
通讯作者：
A. Fogelson
中科院分区：
文献类型：
--
作者：
Varun Shankar;G. Wright;R. Kirby;A. Fogelson
我们提出了一种新的计算方法，通过扩展浸入边界（IB）方法与几何模型的基础上参数径向基函数（RBF）插值的拉格朗日结构。我们的具体动机是在血液动力学流动的血小板建模，虽然我们预计，我们的方法将是有用的，涉及表面弹性的其他应用。通过一系列的数值实验，我们的新RBF‐IB方法的有效性。具体来说，我们测试了我们的方法的收敛性，并将我们的方法与传统的IB方法在计算成本，最大稳定时间步长和体积损失方面进行了比较。我们得出结论，RBF‐IB方法具有传统IB方法的优势，非常适合于血液动力学流动中血小板的建模。版权所有© 2015约翰威利父子有限公司.
We present a new computational method by extending the immersed boundary (IB) method with a geometric model based on parametric radial basis function (RBF) interpolation of the Lagrangian structures. Our specific motivation is the modeling of platelets in hemodynamic flows, although we anticipate that our method will be useful in other applications involving surface elasticity. The efficacy of our new RBF‐IB method is shown through a series of numerical experiments. Specifically, we test the convergence of our method and compare our method with the traditional IB method in terms of computational cost, maximum stable time‐step size, and volume loss. We conclude that the RBF‐IB method has advantages over the traditional IB method and is well‐suited for modeling of platelets in hemodynamic flows. Copyright © 2015 John Wiley & Sons, Ltd.