Piecewise linear volume tracking in spherical coordinates
Piecewise linear volume tracking in spherical coordinates
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DOI：
10.1016/j.apm.2012.07.006
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发表时间：
2013-03
影响因子：
5
通讯作者：
E. Fan;M. Bussmann
中科院分区：
文献类型：
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作者：
E. Fan;M. Bussmann
我们详细描述了一种球坐标的几何分段线性(PLIC)体积跟踪算法，该算法是为研究小颗粒上的接触线动力学而开发的流动求解器的一个组成部分。试验证明了该方法的稳健性，包括各种几何形状的重建，以及对分裂平流算法的测试。重建被证明是一阶精度；与平流算法相关的误差以大于一阶的速率减小。最后，给出了接触角模型的实现方法。
We present a detailed description of a geometric piecewise linear (PLIC) volume tracking algorithm for spherical coordinates, which is a component of a flow solver being developed to study contact line dynamics on small particles. Tests demonstrate the robustness of the method, and include reconstructions of various geometries, and tests of the split advection algorithm. Reconstruction is shown to be first-order accurate; errors associated with the advection algorithm decrease at a rate greater than first-order. Finally, the paper demonstrates the implementation of a contact angle model.