非线性多组分色谱模型数值算法研究  

A study of numerical methods for non-linear multi-component chromatography

作　　者：刘东梅[1] 黄晋阳[1] 

机构地区：[1]北京化工大学理学院,北京100029

出　　处：《北京化工大学学报（自然科学版）》2011年第6期130-134,共5页Journal of Beijing University of Chemical Technology(Natural Science Edition)

摘　　要：构造了一种适合求解非线性多组分色谱模型的变步长迎风算法,空间网格分布基于解的关于空间变量的一阶导数大小和二阶导数大小的适当组合。对双组分非线性色谱的数学模型用所构造的算法进行了数值计算,并与等步长迎风格式的相应计算结果进行了比较,计算结果表明本文构造的变步长算法能够更好的模拟非线性色谱模型。An adaptive semi-implicit upwind difference scheme for non-linear multi-component chromatographic models has been constructed.For spatial adaptation,node placement is based on a combination of the magnitude of the second spatial derivative and that of the first derivative.A non-linear two-component chromatographic model has been simulated using the new algorithm,and the numerical result compared with that obtained using the corresponding algorithm with equal steps.The results indicated that the new algorithm can simulate the models more effectively.

关 键 词：双曲型守恒律 多组分 非线性色谱 变步长 

分 类 号：O241[理学—计算数学]