ACTA AERONAUTICAET ASTRONAUTICA SINICA >
Diagonalization on Jacobian matrix of source term for hypersonic chemical reactive flows
Received date: 2015-05-26
Revised date: 2015-09-16
Online published: 2015-09-23
The stability of a coupled implicit scheme, in which the Jacobian matrix of chemical source term is diagonalized by different methods, is mainly studied based on Von Neumann stability theory. The amplification factor of the present schemes, which use different diagonalized methods, is deduced in detail in paper, and its relations with the courant-Friedrichs-Lewy (CFL) number and the wave number are analyzed. The theoretical analyses and numerical validations show that, the Kim method is more suitable for diagonalizing the Jacobian matrix than the Eberhardt and Ju methods, so that the steadier and more efficient computation can also be achieved for larger CFL number. In addition, with the stiffness parameters obtained, the analyses still show that the computational instability mainly results from the high temperature and pressure with subsonic state between the shock and stagnation point in the outer flow field of hypersonic reactive flows.
Key words： diagonalization; stability analysis; LU-SGS; hypersonic; chemical reactive flow
WANG Yu , QU Kun , CAI Jinsheng . Diagonalization on Jacobian matrix of source term for hypersonic chemical reactive flows[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2016 , 37(5) : 1419 -1427 . DOI: 10.7527/S1000-6893.2015.0258
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