Wavelet-based adaptive grid method for the resolution of nonlinear PDEs

被引：26

作者：

Cruz, P ^{[1
]}

Mendes, A ^{[1
]}

Magalhaes, FD ^{[1
]}

机构：

[1] Univ Porto, Fac Engn, LEPAE Chem Engn Dept, P-4200465 Oporto, Portugal

来源：

AICHE JOURNAL | 2002年 / 48卷 / 04期

关键词：

D O I：

10.1002/aic.690480412

中图分类号：

TQ [化学工业];

学科分类号：

0817 ;

摘要：

Theoretical modeling of dynamic processes in chemical engineering often implies the numeric solution of one or more partial differential equations. The complexity, of such problems is increased when the solutions exhibit sharp moving fronts. A new numerical method is established, based on interpolating wavelets, that dynamically adapts the collocation grid so that higher resolution is automatically attributed to domain regions where sharp features are present. The effectiveness of the method is demonstrated with some relevant examples in a chemical engineering context.

引用

页码：774 / 785

页数：12

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