Modified characteristics mixed defect-correction finite element method for the time-dependent Navier-Stokes problems
Modified characteristics mixed defect-correction finite element method for the time-dependent Navier-Stokes problems
复制标题
时变纳维-斯托克斯问题的修正特性混合缺陷修正有限元法
DOI：
10.1080/00036811.2014.899354
复制
发表时间：
2015
影响因子：
1.1
通讯作者：
Wang Yunxia
中科院分区：
文献类型：
--
作者：
Si Zhiyong;He Yinnian;Wang Yunxia
In this paper, a modified method of characteristics mixed defect-correction finite element method (MMOCMDCFEM) for the time-dependent Navier–Stokes problems, which is led by combining the characteristics time discretization with the two-step defect-correction in space, is presented. In this method, the hyperbolic part (the temporal and advection term) are treated by a characteristic tracking scheme. Then, we solve the equations with an added artificial viscosity term and correct these solutions by using a defect-correction technique. The theory analysis shows that this method has a good convergence property. In order to show the efficiency of the MMOCMDCFEM, we first present some numerical results of analytical solution problems. Then, we give some numerical results of lid-driven cavity flow with and. We also give some numerical results of flow around a cylinder problems, and compare the results with MMOCFEM’s. The numerical results show that this method is highly Efficient.
