Modified characteristics mixed defect-correction finite element method for the time-dependent Navier-Stokes problems

作者：Si, Zhiyong^*; He, Yinnian; Wang, Yunxia

来源：APPLICABLE ANALYSIS, 2015, 94(4): 701-724.

DOI：10.1080/00036811.2014.899354

• 65M12
• 65M60
• 76D05
• 76M10
• characteristics-based method
• modified method of characteristics
• defect-correction finite element method
• lid-driven problem
• Navier-Stokes problems

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.

• 出版日期2015-4-3
• 单位西安交通大学; 河南理工大学