时空守恒元解元方法求解模拟移动床数学模型  

The Space-time Conservation Element and Solution Element Method for Solving Model Equations of Simulated Moving Bed Process

作　　者：姚传义[1] 李青青[1] 卢英华[1] 

机构地区：[1]厦门大学化学化工学院,福建厦门361005

出　　处：《厦门大学学报（自然科学版）》2012年第6期1054-1059,共6页Journal of Xiamen University：Natural Science

基　　金：国家自然科学基金项目(20876128);中央高校基本科研业务费专项(2010121049)

摘　　要：构建了一种简单的时空守恒元解元(CE/SE)方法用于求解模拟移动床色谱模型方程.首先将该方法用于具有分析解的间歇色谱过程,模拟结果表明该方法的计算精度明显优于直线法.然后将其用于模拟果糖葡萄糖分离过程,并与文献中的方法进行了比较,结果显示CE/SE法计算效率优于直线法和小波配置法,并且构建的CE/SE法比文献中CE/SE法具有更高的计算效率和精度.A simple space-time conservation element and solution element （CE/SE） method is constructed in this work for solving the model equation of simulated moving bed chromatography. Firstly the method is used for the batch chromatography problem, which has the analytical solution. The simulation results show that the precision of CE/SE method is much better than that of the method of lines. Then the method is used for fructose-glucose separation problem. By comparing with the results in literatures, it is shown that the computations efficiency of CE/SE method is higher than method of lines and wavelet collocation. Especially the method in this work results in higher computational efficiency and accuracy than the CE/SE method in literature.

关 键 词：时空守恒元解元方法 模拟移动床 数学模型 

分 类 号：TQ028[化学工程]