论文标题

用于微观流体动力学的多分辨率中尺度方法

A Multiresolution Mesoscale Approach for Microscale Hydrodynamics

论文作者

Montessori, Andrea, Tiribocchi, Adriano, Lauricella, Marco, Bonaccorso, Fabio, Succi, Sauro

论文摘要

基于流体可观察物的双重表示,提出了一种新的多尺度方案针对微型流动力问题。首先针对两个平行板之间的经典流进行测试,然后将其应用于微米大小的曲目内的插头流以及微腔内的剪切流。两种情况都证明了多尺度方法在存在精制的网格(一个和两个水平)的情况下,在保留正确的热波动的同时,还嵌入了多颗粒碰撞方法中的正确宏观流体动力学。这为一类新型的全中尺度混合动力方法提供了第一步,该方法能够在流体的连续体表示由于缺乏分辨率和热波动而没有提供完整的物理信息的情况下捕获微观和纳米级的流体物理。

A new class of multiscale scheme is presented for micro-hydrodynamic problems based on a dual representation of the fluid observables. The hybrid model is first tested against the classical flow between two parallel plates and then applied to a plug flow within a micrometer-sized striction and a shear flow within a microcavity. Both cases demonstrate the capability of the multiscale approach to reproduce the correct macroscopic hydrodynamics also in the presence of refined grids (one and two levels), while retaining the correct thermal fluctuations, embedded in the multiparticle collision method. This provides the first step toward a novel class of fully mesoscale hybrid approaches able to capture the physics of fluids at the micro- and nanoscales whenever a continuum representation of the fluid falls short of providing the complete physical information, due to a lack of resolution and thermal fluctuations.

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