Convergence of the point vortex method for the 2-D euler equations
Convergence of the point vortex method for the 2-D euler equations
复制标题
二维欧拉方程点涡法的收敛性
DOI：
10.1002/cpa.3160430305
复制
发表时间：
1990
影响因子：
3
通讯作者：
J. Lowengrub
中科院分区：
文献类型：
--
作者：
J. Goodman;T. Hou;J. Lowengrub
我们证明了点涡逼近的一致性，稳定性和收敛性的2-D不可压缩欧拉方程光滑的解决方案。我们首先表明，离散化误差是二阶精度。然后证明了该方法在lp范数下是稳定的。因此，该方法始终收敛于lp范数.最后通过数值实验说明了该方法的收敛性
We prove consistency, stability and convergence of the point vortex approximation to the 2-D incompressible Euler equations with smooth solutions. We first show that the discretization error is second-order accurate. Then we show that the method is stable in l p norm. Consequently the method converge in l p norm for all time. The convergence is also illustrated by a numerical experiment