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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 alge- braic 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.  相似文献
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