Mesoscopic Fluid Mechanics

Dear Colleagues,

The growing interest in fine-scale flow structures poses great opportunities and challenges for the development of sound theories and reliable numerical methods. Based on statistical mechanics, the mesoscopic descriptions, including the Boltzmann and Vlasov equations, extended hydrodynamical equations, and Monte-Carlo and particle-in-cell direct modeling methods, provide elegant strategies to break the shackles of the continuum assumption used in fluid dynamic equations and enable quantitative investigations of non-equilibrium flow evolution.

The extended degrees of freedom in non-equilibrium flows brings difficulties for theoretical and numerical studies. Macroscopic governing equations cannot accurately describe the multi-scale and non-equilibrium effects during the flow evolution. Fine-grained modeling based on the first principles are required to preserve the structural properties of many-particle systems and reasonable asymptotic limits. Numerical methods are supposed to seek efficient discretization in the high-dimensional phase space and solution algorithm to achieve an acceptable computational cost. High-order and high-fidelity methods are preferred to reduce space and time complexity for numerical solutions. Efficient implicit techniques are needed to enable cross-scale flow simulations.

This Special Issue is dedicated to providing an arena for original research at the intersection of statistical physics and fluid mechanics, thereby deepening the understanding and appreciation of non-equilibrium flows. Results from mesoscopic flow models and corresponding numerical methods are equally welcome.

Dr. Tianbai Xiao
Dr. Yuan Hu
Prof. Dr. Xing Ji
Prof. Dr. Mikhail Sheremet
Guest Editors

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