| 环形激波聚焦流场特性的间断有限元方法(英文) |
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| 引用本文： | 陈二云,赵改平,卓文涛,杨爱玲.环形激波聚焦流场特性的间断有限元方法(英文)[J].南京航空航天大学学报(英文版),2012,29(1):9-15. |
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| 作者姓名： | 陈二云 赵改平 卓文涛 杨爱玲 |
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| 作者单位： | 1. 上海理工大学能源与动力工程学院,上海,200093,中国
2. 上海理工大学医疗器械与食品学院,上海,200093,中国 |
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| 基金项目： | 国家自然科学基金，上海市教委重点学科建设基金，上海市教委优秀青年基金 |
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| 摘 要： | 针对环形激波聚焦时产生的高温、高压特性,采用间断有限元方法对环形激波在同轴圆柱形激波管内的聚焦流场进行了数值模拟。为了验证采用方法的有效性,首先对经典激波管问题进行了求解,计算结果与解析解吻合很好。其次,对入射激波马赫数为2.0到5.0的环形激波聚焦流场进行了计算,获得了环形激波在圆柱形激波管内聚焦过程的气动特性。模拟结果表明,采用间断有限元方法能够有效地捕捉激波聚焦过程形成的绕射、反射和聚焦等主要流动特征,而且在聚焦点附近,数值解具有较大的梯度变化,表明该方法对间断解具有较强的捕捉能力。最后比较了网格尺度对聚焦点峰值压力的影响。
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| 关 键 词： | 激波聚焦 球面双马赫反射 间断有限元方法 |
NUMERICAL INVESTIGATION OF TOROIDAL SHOCK WAVES FOCUSING USING DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD |
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| Chen Eryun
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Zhao Gaiping
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Zhuo Wentao
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Yang Ailing.NUMERICAL INVESTIGATION OF TOROIDAL SHOCK WAVES FOCUSING USING DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD[J].Transactions of Nanjing University of Aeronautics & Astronautics,2012,29(1):9-15. |
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| Authors: | Chen Eryun Zhao Gaiping Zhuo Wentao Yang Ailing |
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| Institution: | 1(1.School of Energy and Power Engineering,University of Shanghai for Science & Technology,Shanghai,200093,P.R.China;2.School of Medical Instrument and Food Engineering,University of Shanghai for Science & Technology,Shanghai,200093,P.R.China) |
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| Abstract: | A numerical simulation of the toroidal shock wave focusing in a co-axial cylindrical shock tube is investigated by using discontinuous Galerkin(DG)finite element method to solve the axisymmetric Euler equations.For validating the numerical method,the shock-tube problem with exact solution is computed,and the computed results agree well with the exact cases.Then,several cases with higher incident Mach numbers varying from 2.0 to 5.0 are simulated.Simulation results show that complicated flow-field structures of toroidal shock wave diffraction,reflection,and focusing in a co-axial cylindrical shock tube can be obtained at different incident Mach numbers and the numerical solutions appear steep gradients near the focusing point,which illustrates the DG method has higher accuracy and better resolution near the discontinuous point.Moreover,the focusing peak pressure with different grid scales is compared. |
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| Keywords: | shock wave focusing spherical double Mach reflection discontinuous galerkin finite element method |
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