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arXiv physics/0701103physics.ao-phphysics.flu-dyn
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云和降水数值模拟的超液滴方法:一个与非静力模式耦合的粒子微物理模式

Super-Droplet Method for the Numerical Simulation of Clouds and Precipitation: a Particle-Based Microphysics Model Coupled with Non-hydrostatic Model

Shin-ichiro Shima, Kanya Kusano, Akio Kawano, Tooru Sugiyama, Shintaro Kawahara

摘要:

提出了一种新的基于粒子的云微物理概率模拟方法--超液滴方法。该方法能够以较低的计算代价精确地模拟云微物理。SDM被应用到一个暖云系统,其中包括沉降,冷凝/蒸发,和随机合并。耦合超液滴和非流体静力学模型的方法也被开发。证实了我们的超级液滴随机聚并的Monte Carlo方法的结果与随机聚并方程的解相当一致。使用一个简单的测试问题,即一个温暖的气泡发起的浅海洋积云形成的模型的行为进行评估。SDM的可能的扩展进行了简要讨论。理论分析表明,SDM的计算成本变得低于光谱(箱)的方法时,属性的数量-确定每个超级液滴的状态的变量-变得大于一些临界值,我们估计是在范围$2\sim4$。

英文摘要:

A novel, particle based, probabilistic approach for the simulation of cloud microphysics is proposed, which is named the Super-Droplet Method (SDM). This method enables accurate simulation of cloud microphysics with less demanding cost in computation. SDM is applied to a warm-cloud system, which incorporates sedimentation, condensation/evaporation, and stochastic coalescence. The methodology to couple super-droplets and a non-hydrostatic model is also developed. It is confirmed that the result of our Monte Carlo scheme for the stochastic coalescence of super-droplets agrees fairly well with the solutions of the stochastic coalescence equation. The behavior of the model is evaluated using a simple test problem, that of a shallow maritime cumulus formation initiated by a warm bubble. Possible extensions of SDM are briefly discussed. A theoretical analysis suggests that the computational cost of SDM becomes lower than the spectral (bin) method when the number of attributes - the variables that identify the state of each super-droplet - becomes larger than some critical value, which we estimate to be in the range $2\sim4$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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