Weighted Essentially Nonoscillatory Method for Two-Dimensional Population Balance Equations in Crystallization
Joint Authors
Ruan, Chunlei
Liang, Kunfeng
Chang, Xianjie
Zhang, Ling
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-23
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Population balance equations (PBEs) are the main governing equations to model the processes of crystallization.
Two-dimensional PBEs refer to the crystals that grow anisotropically with the change of two internal coordinates.
Since the PBEs are hyperbolic equations, it is necessary to build up high resolution schemes to avoid numerical diffusion and numerical dispersion in order to obtain the accurate crystal size distribution (CSD).
In this work, a 5th order weighted essentially nonoscillatory (WENO) method is introduced to compute the two-dimensional PBEs.
Several numerical benchmark examples from literatures are carried out; it is found that WENO method has higher resolution than HR method which is well established.
Therefore, WENO method is recommended in crystallization simulation when the crystal size distributions are sharp and higher accuracy is needed.
American Psychological Association (APA)
Ruan, Chunlei& Liang, Kunfeng& Chang, Xianjie& Zhang, Ling. 2013. Weighted Essentially Nonoscillatory Method for Two-Dimensional Population Balance Equations in Crystallization. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1031676
Modern Language Association (MLA)
Ruan, Chunlei…[et al.]. Weighted Essentially Nonoscillatory Method for Two-Dimensional Population Balance Equations in Crystallization. Mathematical Problems in Engineering No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-1031676
American Medical Association (AMA)
Ruan, Chunlei& Liang, Kunfeng& Chang, Xianjie& Zhang, Ling. Weighted Essentially Nonoscillatory Method for Two-Dimensional Population Balance Equations in Crystallization. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1031676
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1031676