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.

中文翻译：

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微观水动力的多分辨率中尺度方法

基于流体观测值的双重表示，针对微流体力学问题提出了一种新的多尺度方案。首先针对两个平行板之间的经典流动对混合模型进行测试，然后将其应用于微米级的收缩内的塞流和微腔内的剪切流。两种情况都证明了多尺度方法能够在存在精化网格（一个和两个级别）的同时，保留嵌入多粒子碰撞方法中的正确热波动的同时，再现正确的宏观流体力学。