中文摘要：

Poiseuille-Rayleigh-Benard流动是研究非平衡对流的斑图（pattern）及非线性动力学特性的典型模型之一。本文通过流体力学基本方程的数值求解,研究了二维矩形腔体中水平来流和瑞利数对Poiseuille-Rayleigh-Benard流动中的局部行波斑图形成的影响。当水平来流强度为定值时,随着瑞利数的增加,能够依次出现有水平流动的传导状态,局部行波对流和充分发展的行波对流等3种斑图。如果瑞利数被固定,随着水平来流强度的增加,依次出现充分发展的行波对流,局部行波对流和有水平流动的传导状态等3种斑图。局部行波对流的存在宽度依赖于水平来流强度和瑞利数。并进一步讨论了局部行波斑图的动力学特性。

英文摘要：

The Poiseuille-Rayleigh-Benard flow is one of typical models for studying the patterns and nonlinear dynamics of nonequilibrium convection.By using a two-dimensional numerical simulation of the fully hydrodynamic equations,the influence of lateral flows and Rayleigh numbers on the formation of localized traveling wave pattern in Poiseuille-RayleighBenard flows in a rectangular channel is studied.When the density of lateral flows is constant,with increasing Rayleigh number,it is possible to sequentially occur three types of patterns such as conduction with horizontal flows,localized traveling wave convection and fully developed traveling wave convection.If Rayleigh number is fixed,with increasing the density of lateral flows,there occur sequentially three types of patterns such as fully developed traveling wave convection,localized traveling wave convection and conduction with horizontal flows.The width of localized traveling wave convection depends on the density of lateral flows and Rayleigh number.Further,the dynamics of the localized traveling wave patterns is discussed in this paper.