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非定常欠膨胀射流的间断有限元模拟
引用本文:陈二云,李志刚,马大为,乐贵高,赵改平,任杰.非定常欠膨胀射流的间断有限元模拟[J].南京航空航天大学学报(英文版),2008,25(2).
作者姓名:陈二云  李志刚  马大为  乐贵高  赵改平  任杰
作者单位:1. 南京理工大学机械工程学院,南京,210094,中国
2. 上海理工大学医疗器械学院,上海,200093,中国
摘    要:采用间断有限元方法对非定常欠膨胀射流进行了数值模拟,将二维守恒方程的间断有限元方法发展到轴对称Euler方程,对欠膨胀射流问题进行了数值计算。计算结果表明,采用间断有限元方法能够有效地捕捉到包括激波、滑移线、涡环和多级马赫盘等复杂流场结构,与实验照片反映的流动特征吻合较好。此外,两个马赫盘的位置与其他数值结果和实验测量结果吻合很好,表明该方法具有很好的鲁棒性,对非定常欠膨胀燃气射流的数值模拟是有效的。

关 键 词:射流  计算流体力学  多级马赫盘  涡环  间断有限元方法

NUMERICAL SIMULATION OF UNSTEADY-STATE UNDEREXPANDED JET USING DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD
Chen Eryun,Li Zhigang,Ma Dawei,Le Guigao,Zhao Gaiping,Ren Jie.NUMERICAL SIMULATION OF UNSTEADY-STATE UNDEREXPANDED JET USING DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD[J].Transactions of Nanjing University of Aeronautics & Astronautics,2008,25(2).
Authors:Chen Eryun  Li Zhigang  Ma Dawei  Le Guigao  Zhao Gaiping  Ren Jie
Abstract:A discontinuous Galerkin finite element method (DG-FEM) is developed for solving the axisymmetrieEuler equations based on two-dimensional conservation laws.The method is used to simulate the unsteady-stateunderexpanded axisymmetric jet.Several flow property distributions along the jet axis,including density,pres-sure and Mach number are obtained and the qualitative flowfield structures of interest are well captured using theproposed method,including shock waves,slipstreams,traveling vortex ring and multiple Mach disks.Two Mathdisk locations agree well with computational and experimental measurement results.It indicates that the methodis robust and efficient for solving the unsteady-state underexpanded axisymmetric jet.
Keywords:jets  computational fluid dynamics  multiple Mach disks  vortex ring  discontinuous Galerkin finite element method
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