南京航空航天大学学报2017，Vol.49Issue(5)：662-668,7.DOI:10.16356/j.1005-2615.2017.05.009
一种模拟不可压流的节点间断有限元-格子波尔兹曼方法
Nodal Discontinuous Galerkin-Lattice Boltzmann Method for Simulating Incompressible Flows
摘要
Abstract
Based on the nodal discontinuous Galerkin method ,a new way to solve the lattice Boltzmann equation(LBE) ,i .e .a nodal discontinuous Galerkin-lattice Boltzmann method (NDG-LBM ) ,is presen-ted in this study .In this method ,the collision process and streaming process in LBE are split into two sub-steps .To implement the collision process ,the multi-relaxation time (MRT ) model in LBM is adopted .Meanwhile ,the streaming process can be converted into the advection equation ,which is then solved via the the nodal discontinuous Galerkin method .Here ,the space is discretized on the unstruc-tured grids ,and the time discretization is performed by using the low-storage fourth-order ,five-stage Runge-Kutta scheme .To validate the current NDG-LBM ,the simulations of lid-driven cavity flow , flows over a stationary circular cylinder ,two rotating-stationary cylinders and a NACA0012 airfoil with high Reynolds number are carried out .By comparing the obtained numerical results with previous data in literature ,the good agreement is achieved .关键词
节点间断有限元方法/格子波尔兹曼方法/多松弛时间/对流方程纹Key words
nodal discontinuous Galerkin method/lattice Boltzmann method/multi-relaxation time/ad-vection equation分类
数理科学引用本文复制引用
吴杰,刘琛..一种模拟不可压流的节点间断有限元-格子波尔兹曼方法[J].南京航空航天大学学报,2017,49(5):662-668,7.基金项目
中央高校基本科研业务费专项基金(NS2016017)资助项目. （NS2016017）
