适用二维切割体网格的THINC/QQ算法扩展研究  

Extension study on the THINC/QQ method for 2D cut-cell meshes

作　　者：李超[1] 段文洋[1] 赵彬彬[1] LI Chao;DUAN Wenyang;ZHAO Binbin(College of Shipbuilding Engineering,Harbin Engineering University,Harbin 150001,China)

机构地区：[1]哈尔滨工程大学船舶工程学院,黑龙江哈尔滨150001

出　　处：《哈尔滨工程大学学报》2023年第8期1256-1262,共7页Journal of Harbin Engineering University

基　　金：中央高校基本科研业务费专项资金项目(3072022FSC0101).

摘　　要：为了扩展基于二次曲面和高斯积分的双曲正切函数界面捕捉算法THINC/QQ的单元适用类型,本文将适用切割表面式非结构单元的THINC/QQ-SF算法原理应用于二维切割体网格。在进行界面重构时,先将带悬挂点的复杂单元虚拟简化为常规的四边形或三角形单元;而在计算流体体积流量时再考虑各单元的真实拓扑结构。针对典型流体体积对流和溃坝算例,本文设计了一系列二维切割体网格,并验证了所用扩展方法的可行性。研究表明:与高分辨率界面捕捉HRIC算法相比,二维THINC/QQ-SF算法的计算精度更高,能有效抑制多相流界面发生大变形时的流体体积数值耗散。To extend the cell-type adaption of THINC/QQ(tangent of hyperbola for interface capturing method with quadratic surface representation and Gaussian quadrature)scheme,the method of THINC/QQ-SF(THINC/QQ extended for split-face unstructured cells)is applied to 2D cut-cell or trimmed meshes.Before the interface is reconstructed,complex cells with hanging nodes are virtually simplified as regular quadrilateral or triangular cells.Then,the real cell topologies are considered,when calculating the VOF(volume of fluid)fluxes.A series of 2D cut-cell meshes are designed for typical tests on VOF advection and dam break,and the feasibility of the present extension method is validated.Compared with HRIC(high-resolution interface capturing),the 2D THINC/QQ-SF method could obtain higher accuracies,and effectively suppress the VOF numerical diffusion when multi-phase flows have large interfacial deformation.

关 键 词：多相流 界面捕捉 流体体积法 THINC/QQ 二维切割体网格 高分辨率界面捕捉算法 溃坝 

分 类 号：O359[理学—流体力学]