气液两相流的间断有限元模拟  

Simulation of Gas-Liquid Two-Phase Flows with Discontinuous Galerkin Method

作　　者：郭虹平 欧阳洁[1] 

机构地区：[1]西北工业大学理学院应用数学系,陕西西安710129

出　　处：《计算物理》2015年第2期160-168,共9页Chinese Journal of Computational Physics

基　　金：国家重点基础研究发展计划(2012CB025903)资助项目

摘　　要：基于非结构网格,给出模拟两相流的统一间断有限元框架.其中,不可压Navier-Stokes方程采用IPDG(Interior penalty discontinuous Galerkin)方法求解;Level Set方程采用RKDG(Runge-Kutta discontinuous Galerkin)方法求解.方腔驱动流在不同Re数时的数值结果验证了该方法在单相流动中的有效性.气泡上升过程的模拟结果表明:该方法避免了重新初始化,且计算量小、实施简单,可有效求解具有运动界面的不可压两相流问题.A unified discontinuous Galerkin finite element framework on unstructured grids is developed to simulate gas-liquid two-phase flows. In the framework, interior penalty discontinuous Galerkin （ IPDG ） method is employed to discretize imcompressible Navier-Stokes equations, while Runge-Kutta discontinuous Galerkin（ RKDG） method is used to solve Level Set equation. Lid-driven cavity flow is simulated to validate IPDG method. Numerical results of bubble rising indicate the approach can be used to complex two-phase flows with low computational efforts and simple implement. Moreover, RKDG method can effectively track deformations of interface without reinitialization.

关 键 词：间断有限元 非结构 两相流 

分 类 号：O24[理学—计算数学]