Statistical relevance of vorticity conservation in the Hamiltonian particle-mesh method
Statistical relevance of vorticity conservation in the Hamiltonian particle-mesh method
复制标题
哈密顿粒子网格法中涡度守恒的统计相关性
DOI：
10.1016/j.jcp.2009.12.012
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
J. Frank
中科院分区：
文献类型：
--
作者：
S. Dubinkina;J. Frank
我们进行长时间的模拟与理想的流体流动的哈密顿粒子网格方法，以确定统计平均涡度场的离散化。拉格朗日和欧拉的统计模型提出的离散动力学，并与数值实验进行了比较。观察到的结果与理论模型以及Ellis等人（2002）[10]开发的理想流体流动的连续统统计力学理论非常一致。特别是，结果验证了明显微不足道的守恒位涡沿着粒子路径内的HPM方法显着影响的平均状态。数值试验表明，位涡四阶矩的非零值会影响统计平均值。
We conduct long-time simulations with a Hamiltonian particle-mesh method for ideal fluid flow, to determine the statistical mean vorticity field of the discretization. Lagrangian and Eulerian statistical models are proposed for the discrete dynamics, and these are compared against numerical experiments. The observed results are in excellent agreement with the theoretical models, as well as with the continuum statistical mechanical theory for ideal fluid flow developed by Ellis et al. (2002) [10]. In particular the results verify that the apparently trivial conservation of potential vorticity along particle paths within the HPM method significantly influences the mean state. As a side note, the numerical experiments show that a nonzero fourth moment of potential vorticity can influence the statistical mean.