A unified gas-kinetic framework from Boltzmann to Navier-Stokes scalesOA
Neither molecular kinetics nor continuum fluid dynamics alone is adequate to describe multiscale gas flows across different regimes.Bridging these regimes within a single self-consistent framework has long been a central challenge in fluid mechanics.We propose a unified gas kinetic framework that classifies molecules by their collision histories over an observation timescale.This formulation recovers the Boltzmann and Navier–Stokes equations as limiting cases,providing a transparent connection between kinetic and hydrodynamic descriptions.Beyond practical advantages for multiscale modeling,this framework offers a new perspective on Hilbert’s sixth problem by linking microscopic dynamics to continuum mechanics through a tunable observational scale.
Zhaoli Guo;Kun Xu;Yajun Zhu
Institute of Multidisciplinary Research for Mathematics and Applied Science,Wuhan 430074,China State Key Laboratory of Coal Combustion,Wuhan 430074,ChinaDepartment of Mathematics,Hong Kong University of Science and Technology,Hong Kong 999077,ChinaResearch and Development Office,Shanghai Suochen Information Technology Co.,Ltd,Shanghai 200021,China
数理科学
Multiscale flowsBoltzmann equationKinetic schemeLattice Boltzmann method
《Advances in Aerodynamics》 2026 (1)
P.216-235,20
supported by the National Natural Science Foundation of China(No.12472290)the Interdiciplinary Research Program of HUST(No.2023JCYJ002)K.Xu is supported by Hong Kong Research Grant Council(No.16208324,16301222)Y.J.Zhu is supported by Shanghai Magnolia Talent Plan Pujiang Project.
评论