中文摘要：

通过流体力学基本方程组的数值模拟，初步探讨了矩形腔体内具有Soret效应的混合流体Rayleigh—Benard对流系统中斑图（Pattern）选择的多重稳定性（Muhistability）现象．包括有间歇性缺陷的行波和缺陷源水平运动的对传波（Counterpropagating wave）的多重稳定性现象，不同波数的摆动（Undulation）行波的多重稳定性现象，行波和摆动行波的多重稳定性现象等．对由沿着r增加或r减小方向计算引起的斑图转化过程的滞后（Hysteresis）现象也进行了分析．结果说明混合流体Rayleigh—Benard对流系统中的滞后现象和多重稳定性现象是存在的．

英文摘要：

By using the numerical simulations of the two-dimensional full equations of hydrodynamics, the phenomena of multistability in pattern selection of the Rayleigh-Benard convection in a binary fluid mixture with Soret effect in a rectangular cell were preliminarily studied. The phenomena include the muhistability of the traveling wave with intermittent defects and the counterpropagating wave with a horizontal motion of defects, the multistability of the undulation traveling wave with different wavenumbers, and the muhistability of the traveling wave and the undulation traveling wave. The hysteretic phenomena in the pattern transition caused by simulations along different direction of increasing r or decreasing r were also analyzed. The results showed that the phenomena of muhistability and hysteresis existed in Rayleigh-Benard convection in a binary fluid mixture.