Shallow flow simulation on dynamically adaptive cut cell quadtree grids
Shallow flow simulation on dynamically adaptive cut cell quadtree grids
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DOI：
10.1002/fld.1363
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发表时间：
2007-04
影响因子：
1.8
通讯作者：
Q. Liang;J. Zang;A. Borthwick;P. Taylor
中科院分区：
文献类型：
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作者：
Q. Liang;J. Zang;A. Borthwick;P. Taylor
描述了一种基于动态自适应四叉树网格的计算效率高、分辨率高的浅层流体动力学数值模型。数值模型采用显式二阶MUSCL - Hancock Godunov型有限体积格式求解二维非线性浅水方程。使用HLLC近似黎曼解算器计算界面通量。笛卡尔切割单元用于改善对弯曲边界的拟合。采用鬼细胞浸入边界法更新最小切割细胞中的流动信息，克服了时间步长限制。数值模型通过对激波在壁面的反射、低弗劳德数势流通过圆柱体以及孔与圆柱体之间激波相互作用的模拟进行了验证。结果表明，与采用切割单元实现的均匀结构网格计算相比，该方法的计算效率大大提高。版权所有©2006约翰威利父子有限公司
A computationally efficient, high‐resolution numerical model of shallow flow hydrodynamics is described, based on dynamically adaptive quadtree grids. The numerical model solves the two‐dimensional non‐linear shallow water equations by means of an explicit second‐order MUSCL‐Hancock Godunov‐type finite volume scheme. Interface fluxes are evaluated using an HLLC approximate Riemann solver. Cartesian cut cells are used to improve the fit to curved boundaries. A ghost‐cell immersed boundary method is used to update flow information in the smallest cut cells and overcome the time step restriction that would otherwise apply. The numerical model is validated through simulations of reflection of a surge wave at a wall, a low Froude number potential flow past a circular cylinder, and the shock‐like interaction between a bore and a circular cylinder. The computational efficiency is shown to be greatly improved compared with solutions on a uniform structured grid implemented with cut cells. Copyright © 2006 John Wiley & Sons, Ltd.