Reduction of Numerical Oscillations in Simulating Moving-Boundary Problems by the Local DFD Method

作     者：Yang Zhang Chunhua Zhou 

作者机构：Department of AerodynamicsNanjing University of Aeronautics and AstronauticsNanjing 210016China 

出 版 物：《Advances in Applied Mathematics and Mechanics》 (应用数学与力学进展（英文）)

年 卷 期：2016年第8卷第1期

页      面：145-165页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by Natural Science Foundation of China under Grant No.11472134 

主　　题：Numerical oscillation immersed boundary method moving boundary domain-free discretization boundary condition 

摘      要：In this work,the hybrid solution reconstruction formulation proposed by Luo et al.[***,***,*** Sousa and ***,On the numerical oscillation of the direct-forcing immersed-boundary method for moving boundaries,Computers&Fluids,56(2012),pp.61–76]for the finite-difference discretization on Cartesian meshes is implemented in the finite-element framework of the local domain-free discretization(DFD)method to reduce the numerical oscillations in the simulation of movingboundary *** reconstruction formulation is applied at fluid nodes in the immediate vicinity of the immersed boundary,which combines weightly the local DFD solution with the specific values obtained via an approximation of quadratic polynomial in the normal direction to the *** quadratic approximation is associated with the no-slip boundary condition and the local simplified momentum *** weighted factor suitable for unstructured triangular and tetrahedral meshes is constructed,which is related to the local mesh intervals near the immersed boundary and the distances from exterior dependent nodes to the ***,the reconstructed solution can account for the smooth movement of the immersed *** numerical experiments have been conducted for two-and three-dimensional moving-boundary *** is shown that the hybrid reconstruction approach can work well in the finite-element context and effectively reduce the numerical oscillations with little additional computational cost,and the spatial accuracy of the original local DFD method can also be preserved.