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.