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首页> 外文期刊>Journal of Computational Physics >A simple and conservative operator-splitting semi-Lagrangian volume-of-fluid advection scheme
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A simple and conservative operator-splitting semi-Lagrangian volume-of-fluid advection scheme

机译：简单保守的算子分裂半拉格朗日流体对流方案

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摘要

A semi-Lagrangian, operator-splitting, high-performance volume-of-fluid advection scheme (SLOSH-VOF) is developed. In the backward time integration a directional splitting strategy is adopted, which greatly simplifies the definition and locating of the departure volume and reduces it to a grid cell expanded or compressed in one grid direction. The VOF value in the departure cell is estimated using a geometrical interpolation algorithm with a piecewise linear interface calculation (PLIC) scheme for the interfacial cells. The proposed SLOSH-VOF method is unconditionally stable and very large time steps can be used to significantly speed up the overall computations. It is conceptually simple and can be very easily implemented due to the direction-split advection. Its performance is evaluated through several benchmark advection tests. The SLOSH-VOF results are comparable to those from an Eulerian VOF method in terms of interface position errors, and improved with regard to mass conservation, even with CFL numbers increased up to one order of magnitude.
机译：开发了一种半拉格朗日算子分解的高性能流体对流方案（SLOSH-VOF）。在向后时间积分中，采用了方向拆分策略，该策略大大简化了离场体积的定义和位置，并将其减少为在一个网格方向上扩展或压缩的网格单元。使用几何插值算法和界面单元的分段线性接口计算（PLIC）方案，估计离开单元中的VOF值。所提出的SLOSH-VOF方法是无条件稳定的，并且非常大的时间步长可用于显着加快总体计算速度。它在概念上很简单，并且由于方向分割对流而非常容易实现。它的性能通过几个基准对流测试进行评估。就界面位置误差而言，SLOSH-VOF结果可与欧拉VOF方法的结果相媲美，并且即使CFL数量增加一个数量级，也可改善质量守恒。

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