一种用于具有复杂边界的不可压缩流动的通用尖锐界面浸入边界方法。
A VERSATILE SHARP INTERFACE IMMERSED BOUNDARY METHOD FOR INCOMPRESSIBLE FLOWS WITH COMPLEX BOUNDARIES.
作者信息
Mittal R, Dong H, Bozkurttas M, Najjar F M, Vargas A, von Loebbecke A
机构信息
Department of Mechanical and Aerospace Engineering The George Washington University Washington DC 20052.
出版信息
J Comput Phys. 2008;227(10):4825-4852. doi: 10.1016/j.jcp.2008.01.028.
A sharp interface immersed boundary method for simulating incompressible viscous flow past three-dimensional immersed bodies is described. The method employs a multi-dimensional ghost-cell methodology to satisfy the boundary conditions on the immersed boundary and the method is designed to handle highly complex three-dimensional, stationary, moving and/or deforming bodies. The complex immersed surfaces are represented by grids consisting of unstructured triangular elements; while the flow is computed on non-uniform Cartesian grids. The paper describes the salient features of the methodology with special emphasis on the immersed boundary treatment for stationary and moving boundaries. Simulations of a number of canonical two- and three-dimensional flows are used to verify the accuracy and fidelity of the solver over a range of Reynolds numbers. Flow past suddenly accelerated bodies are used to validate the solver for moving boundary problems. Finally two cases inspired from biology with highly complex three-dimensional bodies are simulated in order to demonstrate the versatility of the method.
描述了一种用于模拟不可压缩粘性流体绕三维浸入物体流动的尖锐界面浸入边界方法。该方法采用多维虚拟单元法来满足浸入边界上的边界条件，并且该方法旨在处理高度复杂的三维、静止、移动和/或变形物体。复杂的浸入表面由由非结构化三角形单元组成的网格表示；而流动则在非均匀笛卡尔网格上进行计算。本文描述了该方法的显著特征，特别强调了静止和移动边界的浸入边界处理。通过模拟一些典型的二维和三维流动来验证求解器在一系列雷诺数范围内的准确性和逼真度。通过绕突然加速物体的流动来验证求解器对于移动边界问题的有效性。最后，模拟了两个受生物学启发的具有高度复杂三维物体的案例，以证明该方法的通用性。
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