In this work we discuss the coupling of two mesoscopic approaches for fluid dynamics, namely the lattice Boltzmann method (LB) and the multiparticle collision dynamics (MPCD) [20] to design a new class of flexible and efficient multiscale schemes based on a dual representation of the fluid observables.

At variance with other commonly used multigrid methods, mostly oriented to high Reynolds and turbulent flows, the present approach is designed to capture the physics at the smallest scales whenever the lattice Boltzmann alone falls short of providing the correct physical information due to a lack of resolution, as it occurs for example in thin films between interacting bubbles or droplets in microfluidic crystals.

The coupling strategies employed to pass the hydrodynamic information between the LB and the MPCD are detailed and the algorithm is tested against the steady isothermal Poiseuille flow problem for different coupling configurations.

在这项工作中，我们讨论了流体动力学的两种介观方法的耦合，即格子Boltzmann方法（LB）和多粒子碰撞动力学（MPCD）[20]，以基于对偶表示设计一类新型的灵活高效的多尺度方案。流体观测值。

与主要面向高雷诺数和湍流的其他常用多网格方法不同，本方法旨在仅在晶格玻尔兹曼因缺乏分辨率而无法提供正确的物理信息时，以最小的比例捕获物理学。例如，它发生在微流体晶体中相互作用的气泡或液滴之间的薄膜中。

详细介绍了用于在LB和MPCD之间传递流体力学信息的耦合策略，并针对不同耦合配置针对稳态等温Poiseuille流动问题对算法进行了测试。