High-resolution method for numerically solving PDEs in process engineering
Zhang, Tonghua, Tade, Moses O., Tian, Yu-Chu, & Zang, Hong (2008) High-resolution method for numerically solving PDEs in process engineering. Computers and Chemical Engineering, 32(10), pp. 2403-2408.
Abrupt phenomena in modelling real-world systems indicate the importance of investigating systems with deep gradients. However, it is difficult to solve such systems either analytically or numerically. In 1993, Koren developed a high-resolution numerical computing scheme to deal with compressible fluid dynamics with Dirichlet boundary condition. Recently, Qamar adapted this scheme to numerically solve population balance equations without diffusion terms. This paper extends Koren's scheme for partial differential equations (PDEs) that describe both nonlinear propagation and diffusive effects, and for PDEs with Cauchy boundary condition. Accurate and convergent numerical solutions to the test problems have been obtained. The new results are also compared to those obtained by wavelet-based methods. It is shown that the method developed method in this paper is more efficient.
Citation countsare sourced monthly fromand citation databases.
These databases contain citations from different subsets of available publications and different time periods and thus the citation count from each is usually different. Some works are not in either database and no count is displayed. Scopus includes citations from articles published in 1996 onwards, and Web of Science® generally from 1980 onwards.
Citations counts from theindexing service can be viewed at the linked Google Scholar™ search.
Full-text downloadsdisplays the total number of times this work’s files (e.g., a PDF) have been downloaded from QUT ePrints as well as the number of downloads in the previous 365 days. The count includes downloads for all files if a work has more than one.
Repository Staff Only: item control page