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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.

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Abstract

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.

Impact and interest:

6 citations in Scopus
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4 citations in Web of Science®

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118 since deposited on 11 Aug 2008
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ID Code: 14347
Item Type: Journal Article
Keywords: High, resolution method, numerical method, partial differential equations
DOI: 10.1016/j.compchemeng.2008.01.002
ISSN: 0098-1354
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) > Numerical Analysis (010301)
Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) > Numerical Analysis (010301)
Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > PURE MATHEMATICS (010100) > Ordinary Differential Equations Difference Equations and Dynamical Systems (010109)
Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > CHEMICAL ENGINEERING (090400) > Process Control and Simulation (090407)
Divisions: Past > QUT Faculties & Divisions > Faculty of Science and Technology
Copyright Owner: Copyright 2008 Elsevier
Copyright Statement: Reproduced in accordance with the copyright policy of the publisher.
Deposited On: 11 Aug 2008
Last Modified: 29 Feb 2012 23:47

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