Simulation of viscous water column collapse using adapting hierarchical grids
Simulation of viscous water column collapse using adapting hierarchical grids
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DOI：
10.1002/fld.1073
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发表时间：
2006-02
影响因子：
1.8
通讯作者：
D. Greaves
中科院分区：
文献类型：
--
作者：
D. Greaves
采用一种基于自适应分层网格的复杂自由面水流预报方法，对水柱坍塌进行数值模拟。自适应四叉树网格与高分辨率界面捕捉方法和基于压力的Navier-Stokes方程耦合相结合。对雷诺数为1000的盖子驱动空腔内的流动进行了数值模拟，验证了N-S流动解格式的有效性。研究了两种耦合Navier-Stokes方程的方法，即交替面速度插值法和悬挂节点插值法。模拟了水柱的坍塌、水柱的坍塌及其与障碍物的相互作用。在均匀网格和自适应四叉树网格上进行了计算，结果表明，四叉树网格的计算精度与等效均匀网格上的计算精度相同。计算结果与实验和其他数值结果吻合较好。在自由表面处保持尖锐的界面。新的基于自适应四叉树的方法与基于等效均匀网格的计算方法相比，在计算网格大小和计算时间方面取得了相当大的节省。版权所有©2005 John Wiley&Sons，Ltd.
An adaptive hierarchical grid‐based method for predicting complex free surface flows is used to simulate collapse of a water column. Adapting quadtree grids are combined with a high‐resolution interface‐capturing approach and pressure‐based coupling of the Navier–Stokes equations. The Navier–Stokes flow solution scheme is verified for simulation of flow in a lid‐driven cavity at Re=1000. Two approaches to the coupling of the Navier–Stokes equations are investigated as are alternative face velocity and hanging node interpolations. Collapse of a water column as well as collapse of a water column and its subsequent interaction with an obstacle are simulated. The calculations are made on uniform and adapting quadtree grids, and the accuracy of the quadtree calculations is shown to be the same as those made on the equivalent uniform grids. Results are in excellent agreement with experimental and other numerical data. A sharp interface is maintained at the free surface. The new adapting quadtree‐based method achieves a considerable saving in the size of the computational grid and CPU time in comparison with calculations made on equivalent uniform grids. Copyright © 2005 John Wiley & Sons, Ltd.