守恒定律
数学
本构方程
非线性系统
有限元法
间断伽辽金法
应用数学
伽辽金法
数学分析
法学
物理
量子力学
政治学
热力学
作者
N. T. P. Le,Rho-Shin Myong
出处
期刊:28TH INTERNATIONAL SYMPOSIUM ON RAREFIED GAS DYNAMICS 2012
日期:2012-11-27
摘要
The discontinuous Galerkin (DG) finite element method has been popular as numerical techniques for solving the conservation laws. This method combines key features of the finite element and finite volume methods. In the present work, an explicit modal (cell-based) DG scheme is developed for solving the one-dimensional conservation laws in conjunction with Navier-Stokes-Fourier (NSF) constitutive laws and a nonlinear coupled constitutive relation (NCCR) in order to investigate the shock wave structures in thermal non-equilibrium. Moreover, a convergent iterative method for solving the nonlinear coupled algebraic constitutive relation is implemented into this DG scheme. The Maxwellian monatomic gas is selected for testing the shock structure at various Mach numbers. It is shown that the new scheme works well for all Mach numbers.
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