Empirical Natural Closure Relation for Short Fiber Suspension Models
Empirical Natural Closure Relation for Short Fiber Suspension Models
复制标题
短纤维悬架模型的经验自然闭合关系
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
F. Chinesta
中科院分区：
文献类型：
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作者：
E. Prulière;A. Ammar;F. Chinesta
本文主要研究了控制纤维取向分布演化的Fokker-Planck方程的求解。为了减少计算时间，该方程沿着一定的流动轨迹进行求解，以从Karhunen-Love分解中提取解的重要信息。现在，根据这些信息，人们可以在流动区域中的任何地方求解Fokker-Planck方程，或者简单地调整闭合关系，使其成为此类流动的最优闭合关系，从而解决一些需要较少计算量的定向矩的演化。本文的重点是最后一种策略。为此，我们开始引入卡尔胡宁-洛夫分解，该分解后来被应用于自动提取主要解的特征，用于经验性地调整自然闭合关系。
This work focuses on the resolution of the Fokker-Planck equation that governs the evolution of the fibers orientation distribution. To reduce the computing time, that equation is solved along some flow trajectories in order to extract the significant information of the solution from the application of the Karhunen-Loeve decomposition. Now, from this information one could solve the Fokker-Planck equation everywhere in the flow domain or simply adjust a closure relation that becomes optimal for such flow, solving the evolution of some orientation moments which require a less amount of computation. This paper focuses on this last strategy. For this purpose we start introducing the Karhunen-Loeve decomposition that is applied later to automatically extract the main solution characteristics for adjusting empirically a natural closure relation.