A new CFD method enhanced by machine learning for violent free surfaces

初步得出了一个新的公式，该公式将取代目前用于多相流界面捕获处理的THINC VOF方案中使用的正切双曲函数。与正切双曲函数不同，该函数可以积分两次，节省了数值积分的计算成本。在测试场景的子集中，所提出的方案给出的结果与最先进的THINC技术相当，而计算成本仅为其一半左右。然而，目前的结果仍然局限于笛卡尔（六面体网格）网格，并且在将新方法扩展到不同类型的非结构化网格方面存在一些困难。

Preliminary results for a new formula that will replace the currently employed Tangent Hyperbolic function in the THINC VOF scheme utilized for interface capture treatment in multiphase flow have been achieved. The proposed function, unlike the Tangent Hyperbolic function, can be integrated twice, saving computing costs associated with numerical integration. In a subset of test scenarios, the proposed scheme gives results that are comparable to state-of-the-art THINC techniques at around half the computational cost. However, the current results are still limited to Cartesian (Hexahedral mesh) grids, and there are some difficulties in extending the new approach to different types of unstructured grids.