关键词: 自催化反应, 对流反应, 有限体积法, 通量格式

Abstract: For the numerical simulation of reacting flow, a unified flux scheme is deduced according to the finite volume method. Fluxes corresponding to ten different methods are obtained and their numerical behavior is systematically compared. It is shown that the first-order accuratemethods like the upwind and Lax-Friedrichs（LF） schemes, the second-order accuratemethods including the second order upwind, Lax-Wendroff, Beam-Warming and Fromm schemes, and the third-order accurate QUICK scheme, will cause serious either numericaldissipation orunphysical oscillation, due to which numerical accuracy is remarkably reduced. The modified TVD-LF（MTVDLF） scheme with a flux limiter can eliminate both the numerical dissipation and unphysical oscillation, and the Superbee limiter is most suitable for the simulation of reacting flow.

Key words: autocatalytic reaction, convection reaction, finite volume method, flux scheme