三对角与二对角矩阵法应用于非理想溶液精馏计算的收敛性  

CONVERGEUCE AND STABILITY OF TRIDIAGONAL AND BIDIAGONAL MATRIX METHODS FOR NON - IDEAL SOLUTION DISTILLATION

作　　者：吴燕翔[1] 邱挺[1] 王良恩[1] 谭天恩[2] 

机构地区：[1]福州大学化工系,福州350002 [2]浙江大学化工系,杭州310013

出　　处：《化工学报》1999年第1期70-79,共10页CIESC Journal

基　　金：福建省自然科学基金资助项目(No.B97008)

摘　　要：讨论了多组分精馏塔定态模拟计算中三对角矩阵法的敛散性,并提出了一种修正法——二对角矩阵.对两种方法的收敛性进行了分析和比较,将这两种方法用于多种非理想体系的计算,结果表明,二对角矩阵法的收敛性和稳定性均比三对角矩阵法好.The convergence of the tridiagonal matrix method for multicomponent distillation is discussed with the principle of numerical analysis. A modified method, bidiagonal matrix method, is put forward. The two methods are compared in their convergence and stability. The application of the tridiagonal and bidiagonal matrix methods to the calculations of many non-ideal multicomponent distillations demonstrates that the latter is more stable than the former.

关 键 词：精馏 模拟 三对角矩阵法 二对角矩阵法 收敛性 

分 类 号：TQ028.31[化学工程]