Inertial Frame Independent Forcing for Discrete Velocity Boltzmann Equation:Implications for Filtered Turbulence Simulation  

作　　者：Kannan N.Premnath Sanjoy Banerjee 

机构地区：[1]Department of Mechanical Engineering,University of Wyoming,Laramie,WY 82071,USA [2]Department of Chemical Engineering,City College of New York,City University of New York,New York,NY 10031,USA.

出　　处：《Communications in Computational Physics》2012年第8期732-766,共35页计算物理通讯（英文）

摘　　要：We present a systematic derivation of a model based on the central moment lattice Boltzmann equation that rigorously maintains Galilean invariance of forces to simulate inertial frame independent flow fields.In this regard,the central moments,i.e.moments shifted by the local fluid velocity,of the discrete source terms of the lattice Boltzmann equation are obtained by matching those of the continuous full Boltzmann equation of various orders.This results in an exact hierarchical identity between the centralmoments of the source terms of a given order and the components of the central moments of the distribution functions and sources of lower orders.The corresponding source terms in velocity space are then obtained from an exact inverse transformation due to a suitable choice of orthogonal basis for moments.Furthermore,such a central moment based kinetic model is further extended by incorporating reduced compressibility effects to represent incompressible flow.Moreover,the description and simulation of fluid turbulence for full or any subset of scales or their averaged behavior should remain independent of any inertial frame of reference.Thus,based on the above formulation,a new approach in lattice Boltzmann framework to incorporate turbulence models for simulation of Galilean invariant statistical averaged or filtered turbulent fluid motion is discussed.

关 键 词：Lattice Boltzmann method central moments Galilean invariance TURBULENCE FILTERING 

分 类 号：O17[理学—数学]