Numerical investigation of toroidal shock waves focusing using discontinuous Galerkin finite element method

被引：0

作者：

Chen, Eryun ^{[1
]}

Zhao, Gaiping ^{[2
]}

Zhuo, Wentao ^{[1
]}

Yang, Ailing ^{[1
]}

机构：

[1] School of Energy and Power Engineering, University of Shanghai for Science and Technology, Shanghai, 200093, China

[2] School of Medical Instrument and Food Engineering, University of Shanghai for Science and Technology, Shanghai, 200093, China

来源：

Transactions of Nanjing University of Aeronautics and Astronautics | 2012年 / 29卷 / 01期

关键词：

Numerical methods - Computational fluid dynamics - Finite element method - Focusing - Shock tubes - Aerodynamics - Galerkin methods;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：9 / 15