A Three-Dimensional Gas-Kinetic BGK Scheme for Simulating Flows in Rotating Machinery

作     者：Di Zhou Zhiliang Lu Tongqing Guo 

作者机构：Department of AerodynamicsCollege of Aerospace EngineeringNanjing University of Aeronautics and AstronauticsQinhuai DistrictNanjing 210016JiangsuChina 

出 版 物：《Advances in Applied Mathematics and Mechanics》 (应用数学与力学进展（英文）)

年 卷 期：2019年第11卷第1期

页      面：168-196页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：This work has been supported by the National Natural Science Foundation of China(Grant No.11372135) the National Basic Research Program of China(“973”Project)(Grant No.2014CB046200) 

主　　题：Gas-kinetic scheme BGK model non-inertial reference frame acceleration term rotating machinery 

摘      要：This paper focuses on the development and application of a threedimensional gas-kinetic Bhatnagar-Gross-Krook(BGK)method for the viscous flows in rotating *** such flows,a rotating frame of reference is usually used in formulating the Navier-Stokes(N-S)equations,and there are two major concerns in constructing the corresponding BGK *** is the change of the convective velocities in the N-S equations,which can be reflected through modification of the gas streaming *** other one is the necessity to account for the effect of the additional Coriolis and centrifugal ***,a specifically-designed acceleration term is added into the modified Boltzmann equation so that the source effects can be naturally included into the gas evolution process and the resulted *** the finitevolume framework,the constructed BGK model is locally solved at each cell interface and then the numerical fluxes can be *** employing the BGK scheme,it is sometimes found that the calculated spatial derivatives of the initial and equilibrium distribution functions are sensitive to the mesh quality especially in complex rotating flow applications,which may significantly influence flux ***,an improved approach for computing these slopes is adopted,through which the modeling capability for viscous flows is *** validation,several numerical examples are *** computed results show that the present method can be well applied to a wide range of flows in rotating machinery with favorable accuracy.