MODAL DISCONTINUOUS GALERKIN METHOD FOR SHOCK WAVE STRUCTURES

• 作 者: Nam Tuan Phuong Le Rho Shin Myong
• 机 构: Department of Aerospace and System Engineering and Research Center for Aircraft Parts Technology,Gye
• 出 处: Transactions of Nanjing University of Aeronautics & Astronau
• 发表日期: 2013年03期
• 关键词: discontinuous Galerkin (DG) shock structure nonlinear coupled constitutive relat

The discontinuous Galerkin(DG)finite element method has been popular as a numerical technique for solving the conservation laws.In the present study,in order to investigate the shock wave structures in highly thermal nonequilibrium,an explicit modal cell-based DG scheme is developed for solving the conservation laws in conjunction with nonlinear coupled constitutive relations(NCCR).Convergent iterative methods for solving algebraic constitutive relations are also implemented in the DG scheme.It is shown that the new scheme works well for all Mach numbers,for example,Ma=15.

The current study, in order to investigate the shock wave structures in highly thermal nonequilibrium, an explicit modal cell-based DG scheme is developed for solving the conservation laws in conjunction with nonlinear coupled constitutive relations (NCCR) .Convergent iterative methods for solving algebraic constitutive relationships are also implemented in the DG scheme. It is shown that the new scheme works well for all Mach numbers, for example, Ma = 15.