A Cartesian cut cell free surface capturing method for 3D water impact problems
A Cartesian cut cell free surface capturing method for 3D water impact problems
复制标题
DOI：
10.1002/fld.3708
复制
发表时间：
2013-04
影响因子：
1.8
通讯作者：
Z. Z. Hu-Z.;D. Causon;C. Mingham;L. Qian
中科院分区：
文献类型：
--
作者：
Z. Z. Hu-Z.;D. Causon;C. Mingham;L. Qian
针对具有自由表面的两流体系统，开发了一种笛卡尔切割网格生成程序和有限体积欧拉求解器。采用一种快速、鲁棒的三角形到三角形重叠方案来确定物体表面与背景笛卡尔网格的交点。切割细胞程序的改进包括在单个细胞内进行多次切割的新处理和表面修剪程序，以确保在固体边界周围形成高质量的网格。并给出了计算切割细胞的所有必要信息的公式。这些是通用的，可以用于任意不规则的边界元素。采用高分辨率空间Godunov型格式的配位有限体积法对控制流方程进行离散化。通过在空气和水区域同时以一致的方式计算，自由表面在密度场中被自动捕获为接触不连续面，而不需要任何特殊的自由表面跟踪方法。该算法将人工压缩方法与双时间步进策略相结合，以保持无散度的速度场。回顾了该方法的数学公式及其数值实现，并给出了一些测试用例的结果。版权所有©2012 John Wiley & Sons， Ltd。
A Cartesian cut cell mesh generation procedure is developed together with a finite volume Euler solver for a two‐fluid system with a free surface. A fast and robust triangle to triangle overlap scheme is used to determine the intersection of a body‐surface with the background Cartesian mesh. Improvements to the cut cell routines include a new treatment for multiple cuts within a single cell and a surface trimming procedure to ensure a good quality mesh around solid boundaries. The formulae for calculating all necessary information about a cut cell are also presented. These are generic and can be used for arbitrarily irregular boundary elements. A collocated finite volume method with a high resolution Godunov‐type scheme in space is used for discretization of the governing flow equations. By computing in both the air and water regions simultaneously in a consistent manner, the free surface is automatically captured as a contact discontinuity in the density field without the need for any special free surface tracking method. The algorithm incorporates the artificial compressibility method with a dual time stepping strategy to maintain a divergence free velocity field. The mathematical formulation including its numerical implementation of the method is reviewed and results for a number of test cases are also presented. Copyright © 2012 John Wiley & Sons, Ltd.