适用于薄片体对称性问题的正交配置表的构造及其应用

Construction of Orthogonal Collocation Tables for Symmetric Planar Geometry and Its Application to Liquid Phase Adsorption in a Batch Adsorber

以Ｊａｃｏｂｉ和Ｌｅｇｅｎｄｒｅ正交多项式为基础，构造出配置点数从１至２０且适用于薄片体对称性问题的正交配置表，并将正交配置表用于求解薄片体吸附剂在间歇吸附器内的液相吸附偏微分方程。结果表明：配置点数Ｎ＝１０左右，即可满足计算精度要求。因此，正交配置法具有所需节点数少、计算量小和能适应模型变化等优点。

This paper is concerned with the construction of orthogonal collocation tables for symmetric planar geometry,based on the Jacobi and Legendre polynomials with the weighting function W(x 2)=1 and 1- x 2 respectively,and its application to liquid phase adsorption of planar adsorbents in a batch adsorber is demonstrated The orthogonal collocation tables are constructed for the collocation points N from 1 to 20,which would meet the needs for the most users For the present model,the number of collocation points required by the accuracy is only about 10,much less than that required by the finite difference method,and the computing time for the former is greatly saved Therefore,the orthogonal collocation method is superior to the finite difference method in both computing time and convenience