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首页> 外文期刊>Journal of Computational Physics >Statistical relevance of vorticity conservation in the Hamiltonian particle-mesh method
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Statistical relevance of vorticity conservation in the Hamiltonian particle-mesh method

机译：哈密​​顿粒子网方法中涡度守恒的统计相关性

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摘要

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.
机译：我们使用汉密尔顿粒子网方法对理想流体进行长期模拟，以确定离散化的统计平均涡度场。提出了用于离散动力学的拉格朗日和欧拉统计模型，并将其与数值实验进行了比较。观察到的结果与理论模型以及由Ellis等人开发的理想流体的连续统统计力学理论非常吻合。 （2002）[10]。尤其是，这些结果证实，在HPM方法中，沿粒子路径的潜在涡度的琐碎守恒明显地影响了平均状态。作为附带说明，数值实验表明，潜在涡度的非零第四矩会影响统计平均值。

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