Analysis of a splitting method for incompressible inviscid rotational flow problems

作者：Tsai Chiung Chiou; Yang Suh Yuh^*

来源：Journal of Computational and Applied Mathematics, 2007, 200(1): 364-376.

DOI：10.1016/j.cam.2006.01.004

• incompressible inviscid rotational flows
• velocity-vorticity-pressure formulation
• least squares
• finite element methods

This paper is devoted to analyze a splitting method for solving incompressible inviscid rotational flows. The problem is first recast into the velocity-vorticity-pressure formulation by introducing the additional vorticity variable, and then split into three consecutive subsystems. For each subsystem, the L-2 least-squares finite element approach is applied to attain accurate numerical solutions. We show that for each time step this splitting least-squares approach exhibits an optimal rate of convergence in the H-1 norm for velocity and pressure, and a suboptimal rate in the L-2 norm for vorticity. A numerical example in two dimensions is presented, which confirms the theoretical error estimates.

• 出版日期2007-3-1
• 单位中央民族大学