Application of the VOF method based on unstructured quadrilateral mesh

To simulate two-dimensional free-surface flows with complex boundaries directly and accurately, a novel VOF (Volume-of-fluid) method based on unstructured quadrilateral mesh is presented. Without introducing any complicated boundary treatment or artificial diffusion, this method treated curved boundaries directly by utilizing the inherent merit of unstructured mesh in fitting curves. The PLIC (Piecewise Linear Interface Calculation) method was adopted to obtain a second-order accurate linearized reconstruction approximation and the MLER (Modified Lagrangian-Eulerian Re-map) method was introduced to advect fluid volumes on unstructured mesh. Moreover, an analytical relation for the interface’s line constant vs. the volume clipped by the interface was developed so as to improve the method’s efficiency. To validate this method, a comprehensive series of large straining advection tests were performed. Numerical results provide convincing evidences for the method’s high volume conservative accuracy and second-order shape error convergence rate. Also, a dramatic improvement on computational accuracy over its unstructured triangular mesh counterpart is checked.     

适用于具有复杂海底边界的自由表面流动模拟方法

提出了一种适用于具有复杂海底边界的自由表面流动模拟算法?基于非结构化四边形网格的VOF法。利用非结构化四边形网格在拟合曲线边界上的优势,此法能够在不引入任何边界处理和人工耗散的条件下,直接求解具有任意复杂海底边界的自由表面流动问题。该算法采用MLER法来对流界面,提高了VOF算法的体积守恒精度。大应变界面对流数值实验结果表明,该算法体积守恒性较好,且具有二阶的形状误差收敛率。