化工学报2016，Vol.67Issue(11)：4732-4741,10.DOI:10.11949/j.issn.0438-1157.20160421
基于八叉树自适应网格技术的Level Set运动界面追踪方法
Interface capturing method based on Level Set with octree adaptive mesh technology
摘要
Abstract
Level Set method is one of the dominant methods to calculate and track evolution of interfaces because it can efficiently handle complex topology change of interfaces and large deformation. This method often suffers from large amount of numerical dissipation and high order accurate numerical discretization in time and space is used to improve mass conservation properties, which leads to an increase of computational overhead. When octree adaptive mesh technology is incorporated into Level Set to capture moving interfaces, the amount of computational meshes and memory usage is reduced and the calculation precision and efficiency are enhanced by adaptive octree mesh refining or coarsening according to interface distance. Because octree mesh is non-uniform and layer numbers of neighbor grids may be different, the WENO formula could not be directly applied to set values of octree grids. A discretization model and a technique of re-initializing distance field were proposed to calculate value of neighbor octree grids as well as to reduce mass loss in Level Set function. Numerical simulation on moving interface in rotation flow field of Zalesak sphere, in shear flow field of sphere and in cast filling process of square cavity benchmark indicated that combination of Level Set method and octree adaptive mesh technology could successfully capture moving interface. The interface-tracking precision was enhanced by refinement of octree meshes and increase of maximum octree mesh layers. When the maximum octree mesh layer was increased from 8 to 9 in the shear flow field, mass conservation of the sphere was obviously improved and numerical dissipation caused by Level Set method was significantly reduced.关键词
界面追踪/数值模拟/八叉树网格技术/Level Set方法/网格自适应/模型/优化Key words
interface capture/numerical simulation/octree mesh technology/Level Set method/adaptive mesh/model/optimization分类
数理科学引用本文复制引用
殷亚军,李阳东,涂志新,李文,沈旭,周建新..基于八叉树自适应网格技术的Level Set运动界面追踪方法[J].化工学报,2016,67(11):4732-4741,10.基金项目
国家自然科学基金项目（51475181，51305149）；中国博士后科学基金特别资助项目（2015T80795）。@@@@Foundation item：supported. by the National Natural Science Foundation of China(51475181,51305149) and the China Postdoctoral Science Foundation Special Funding(2015T80795) （51475181,51305149）
