In the field of volume of fluid type schemes, there is still great room for improvement in the accuracy of the methods used to reconstruct interfaces, especially when highly complex interfaces are involved. Isosurface extraction is exploited in a series of piecewise-linear interface reconstruction methods to simulate complex interface dynamic problems on arbitrary grids, and high-order surface patches are applied to achieve significantly improved accuracy. Isosurface extraction is also used to choose a convenient set of neighboring cells, hereafter called reconstruction stencil, for the reconstruction of highly curved interfaces when using well-known linearity-preserving methods. The relevance of the proper selection of the reconstruction stencil is highlighted, showing that the convergence of formal second-order methods can deteriorate when inappropriate reconstruction stencils are used. The accuracy, computational efficiency and performance of the implemented piecewise-linear interface reconstruction methods coupled with different reconstruction stencils are thoroughly analyzed for the reconstruction of interfaces in static conditions and dynamic simulations that produce highly deformed interfaces by using an accurate unsplit geometric advection method and imposing prescribed velocity fields.

中文翻译：

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任意网格上复杂界面的分段线性重建的等值面提取

在流体类型方案的体积领域，用于重建界面的方法的准确性仍然有很大的改进空间，特别是当涉及高度复杂的界面时。在一系列分段线性界面重建方法中利用等值面提取来模拟任意网格上的复杂界面动态问题，并应用高阶表面补丁来显着提高精度。等值面提取还用于选择一组方便的相邻单元（以下称为重建模板），以便在使用众所周知的线性保留方法时重建高度弯曲的界面。强调了正确选择重建模板的相关性，表明当使用不合适的重建模板时，形式二阶方法的收敛性可能会恶化。彻底分析了所实现的分段线性界面重建方法与不同重建模板相结合的精度、计算效率和性能，以用于静态条件下的界面重建和动态模​​拟，通过使用精确的不分裂几何平流方法和强加产生高度变形的界面规定的速度场。