A Novel VOF-Type Volume-Tracking Method for Free-Surface Flows Based on Unstructured Triangular Mesh  

作　　者：及春宁 王元战 王建峰 

机构地区：[1]School of Civil Engineering,Tianjin University,Tianjin 300072,China

出　　处：《China Ocean Engineering》2005年第4期529-538,共10页中国海洋工程（英文版）

基　　金：ThisstudyissupportedbytheNationalNaturalScienceFoundationofChina(GrantNo.50279027)andtheScienceFoundationofTianjinMunicipalCommissionofScienceandTechnology(GrantNo.043114711)

摘　　要：A novel VOF-type volume-tracking method for two-dimensional free-surface flows based on the unstructured triangular mesh is presented. Owing to the inherent merit of the unstructured triangular mesh in fitting curved boundaries, this method can handle the free-surface problems with complex geometries accurately and directly, without introducing any complicated boundary treatment or artificial diffusion. The method solves the volume transport equation geometrically through the Modified Lagrangian-Eulerian Re-map （MLER） method, which is applied to advective fluid volumes. Moreover, the PLIC method is adopted to give a second-order reconstructed interface approximation. To validate this method, two advection tests were performed for the establishment of the accuracy and convergence rate of the solutions. Numerical results for these complex tests provide convincing evidence for the excellent solution quality and fidelity of the method.A novel VOF-type volume-tracking method for two-dimensional free-surface flows based on the unstructured triangular mesh is presented. Owing to the inherent merit of the unstructured triangular mesh in fitting curved boundaries, this method can handle the free-surface problems with complex geometries accurately and directly, without introducing any complicated boundary treatment or artificial diffusion. The method solves the volume transport equation geometrically through the Modified Lagrangian-Eulerian Re-map （MLER） method, which is applied to advective fluid volumes. Moreover, the PLIC method is adopted to give a second-order reconstructed interface approximation. To validate this method, two advection tests were performed for the establishment of the accuracy and convergence rate of the solutions. Numerical results for these complex tests provide convincing evidence for the excellent solution quality and fidelity of the method.

关 键 词：VOLUME-OF-FLUID modified Lagrangian-Eulerian re-map （MLER） unstructured triangular mesh 

分 类 号：P731.21[天文地球—海洋科学]