微尺度流体动力学的多分辨率中尺度方法
A Multiresolution Mesoscale Approach for Microscale Hydrodynamics
摘要:
基于流体观测量的对偶表示,提出了一类新的求解微流体力学问题的多尺度格式。首先对两个平行平板间的经典流动进行了混合模型的测试,然后将其应用于微米尺度的收缩段内的塞流和微腔内的剪切流。这两种情况下都证明了多尺度方法的能力,以再现正确的宏观流体力学也存在的细化网格(一个和两个级别),同时保留正确的热波动,嵌入在多粒子碰撞方法。这提供了第一步,向一类新的完全介观尺度的混合方法,能够捕获的物理流体在微米和纳米尺度的流体时,连续表示的流体达不到提供完整的物理信息,由于缺乏分辨率和热波动。
英文摘要:
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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