Advances in the kinetics of heat and mass transfer in near-continuous complex flows
Aiguo Xu1,2,3(), Dejia Zhang1,4,5, Yanbiao Gan6
1. National Key Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, P. O. Box 8009-26, Beijing 100088, China 2. State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China 3. HEDPS, Center for Applied Physics and Technology, and College of Engineering, Peking University, Beijing 100871, China 4. State Key Laboratory for GeoMechanics and Deep Underground Engineering, China University of Mining and Technology, Beijing 100083, China 5. National Key Laboratory of Shock Wave and Detonation Physics, Mianyang 621999, China 6. Hebei Key Laboratory of Trans-Media Aerial Underwater Vehicle, School of Liberal Arts and Sciences, North China Institute of Aerospace Engineering, Langfang 065000, China
The study of macro continuous flow has a long history. Simultaneously, the exploration of heat and mass transfer in small systems with a particle number of several hundred or less has gained significant interest in the fields of statistical physics and nonlinear science. However, due to absence of suitable methods, the understanding of mesoscale behavior situated between the aforementioned two scenarios, which challenges the physical function of traditional continuous fluid theory and exceeds the simulation capability of microscopic molecular dynamics method, remains considerably deficient. This greatly restricts the evaluation of effects of mesoscale behavior and impedes the development of corresponding regulation techniques. To access the mesoscale behaviors, there are two ways: from large to small and from small to large. Given the necessity to interface with the prevailing macroscopic continuous modeling currently used in the mechanical engineering community, our study of mesoscale behavior begins from the side closer to the macroscopic continuum, that is from large to small. Focusing on some fundamental challenges encountered in modeling and analysis of near-continuous flows, we review the research progress of discrete Boltzmann method (DBM). The ideas and schemes of DBM in coarse-grained modeling and complex physical field analysis are introduced. The relationships, particularly the differences, between DBM and traditional fluid modeling as well as other kinetic methods are discussed. After verification and validation of the method, some applied researches including the development of various physical functions associated with discrete and non-equilibrium effects are illustrated. Future directions of DBM related studies are indicated.
. [J]. Frontiers of Physics, 2024, 19(4): 42500.
Aiguo Xu, Dejia Zhang, Yanbiao Gan. Advances in the kinetics of heat and mass transfer in near-continuous complex flows. Front. Phys. , 2024, 19(4): 42500.
Schemes for detecting and describing discrete/TNE behavior and effects
Before 2012
There was no significant difference in physical function between the two types of LBMs.
2012
Proposed to use non-conserved moments of to detect and describe discrete/TNE states and effects, which is the starting point of current DBM method [73].
2015
Proposed to use the non-conserved moments of as bases to open phase space, and use the distance from a state point to the origin to define the TNE strength of one perspective. This is the starting point of the phase space description method in DBM [74].
2018
Proposed to use the distance between two points in the phase space to describe the difference between two discrete/TNE states, and use the mean distance between two points in a given time interval to describe the difference of two kinetic processes [75].
2021
Extended the phase space method to describe any set of system features [76].
2022
Proposed the concept of non-equilibrium strength vector, each of whose components is one TNE strength of a perspective, to multi-perspective cross-locate the non-equilibrium strength of complex flow [61, 77].
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