TITLE:
Explicit Large Time Stepping with Third-Order Exponential Time Differencing Scheme for Hypersonic Chemical Non-Equilibrium Flow
AUTHORS:
Shiran Dai, Songping Wu
KEYWORDS:
Exponential Time Integrator, Hypersonic Chemical Non-Equilibrium Flow, Numerical Efficiency
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.1,
January
19,
2018
ABSTRACT: In this paper, a third-order exponential time differencing scheme, named ETDRK3, was investigated for large time stepping in the computation of hypersonic non-equilibrium flow. The second-order Harten-TVD scheme was used for the spatial discretization. The efficient implementation of the scheme with diagonalization of Jacobin matrix was established and carried out for the semi-cylindrical around flow. Current observations showed that the numerical results were in good agreement with those obtained by the classical explicit three-stage Runge-Kutta scheme (RK3) and implicit LU scheme. Efficiency assessments promised the effectiveness of the ETDRK3 scheme. The rationality of the application of this scheme was proved by its preferable accuracy and efficiency.