微小扰动下中等长高比腔体内行进波对流的高精度数值模拟  

High accuracy numerical simulation of traveling wave convection in an intermediate-aspect-ratio rectangular cell with small perturbation

作　　者：王涛[1] 葛永斌[2] 

机构地区：[1]北方民族大学预科教育学院,宁夏银川750021 [2]宁夏大学数学计算机学院,宁夏银川750021

出　　处：《合肥工业大学学报（自然科学版）》2012年第11期1569-1573,共5页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(11061025);教育部科学技术研究重点资助项目(210239);北方民族大学科学研究基金资助项目(2010Y038)

摘　　要：文章采用高阶紧致有限差分格式,通过二维流体力学扰动方程组的数值模拟,研究了具有较弱Soret效应下,附加一个微小的温度扰动作为扰动源的中等长高比腔体内混合流体对流系统中时空结构的发展;它在经历了瞬态的对传波、调制对传波,最终演变为稳定的定常行进波状态;并进一步研究了在中等长高比腔体内混合流体对流中从调制对传波向定常行进波的时空演化及其随瑞利数的变化规律。By using the high order compact finite difference scheme, and through the numerical simula- tions of two-dimensional hydrodynamic perturbation equations, the evolution of spatio-temporal pat- terns of the traveling wave convection in fluid mixtures in an intermediated-aspect-ratio rectangular cell with small temperature perturbation under the weakly Soret effect is performed. The result shows that counterpropagating waves are generated and modulated until the system evolves to spatially mod- ulated eounterpropagating and finally to a stable stationary overturning convection. Based on this, the Rayleigh effect on the course of spatio-temporal evolution from modulated counterpropagating wave to stationary overturning convection is discussed.

关 键 词：Soret效应 对传波 调制对传波 定常行进波 高阶紧致格式 

分 类 号：O357.1[理学—流体力学]