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A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries

机译:通用的尖锐界面沉浸边界方法,用于具有复杂边界的不可压缩流

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摘要

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. (C) 2008 Elsevier Inc. All rights reserved.
机译:描述了一种用于模拟流过三维浸没体的不可压缩粘性流的尖锐界面浸没边界方法。该方法采用多维重像元方法来满足沉浸边界上的边界条件,并且该方法被设计为处理高度复杂的三维,固定,运动和/或变形体。复杂的浸入表面用由非结构化三角形元素组成的网格表示。而流量是在非均匀的笛卡尔网格上计算的。本文描述了该方法的显着特征,特别强调了固定边界和移动边界的沉浸边界处理。大量规范的二维和三维流的仿真用于验证雷诺数范围内求解器的准确性和逼真度。通过突然加速的物体的流动用于验证求解器是否存在运动边界问题。最后,模拟了两个具有高度复杂的三维物体的生物学案例,以证明该方法的多功能性。 (C)2008 Elsevier Inc.保留所有权利。

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