Convergence of vortex methods for weak solutions to the 2‐D euler equations with vortex sheet data
Convergence of vortex methods for weak solutions to the 2‐D euler equations with vortex sheet data
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DOI：
10.1002/cpa.3160480603
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发表时间：
1995
影响因子：
3
通讯作者：
Jian‐Guo Liu;Z. Xin
中科院分区：
文献类型：
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作者：
Jian‐Guo Liu;Z. Xin
对于二维不可压缩欧拉方程，在初始数据满足涡量为可分辨符号有限Radon测度和动能局部有界的条件下，证明了涡团法求解经典弱解的收敛性。这包括涡旋片的重要例子。该结果在计算网格范围内是有效的
We prove the convergence of vortex blob methods to classical weak solutions for the twodimensional incompressible Euler equations with initial data satisfying the conditions that the vorticity is a finite Radon measure of distinguished sign and the kinetic energy is locally bounded. This includes the important example of vortex sheets. The result is valid as long as the computational grid