Extension of moment projection method to the fragmentation process

Shaohua Wu; Edward K.Y. Yapp; Jethro Akroyd; Sebastian Mosbach; Rong Xu; Wenming Yang; Markus Kraft

doi:10.1016/j.jcp.2017.01.045

Extension of moment projection method to the fragmentation process

Shaohua Wu, Edward K.Y. Yapp, Jethro Akroyd, Sebastian Mosbach, Rong Xu, Wenming Yang, Markus Kraft^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

35 Citations (Scopus)

Abstract

The method of moments is a simple but efficient method of solving the population balance equation which describes particle dynamics. Recently, the moment projection method (MPM) was proposed and validated for particle inception, coagulation, growth and, more importantly, shrinkage; here the method is extended to include the fragmentation process. The performance of MPM is tested for 13 different test cases for different fragmentation kernels, fragment distribution functions and initial conditions. Comparisons are made with the quadrature method of moments (QMOM), hybrid method of moments (HMOM) and a high-precision stochastic solution calculated using the established direct simulation algorithm (DSA) and advantages of MPM are drawn.

Original language	English
Pages (from-to)	516-534
Number of pages	19
Journal	Journal of Computational Physics
Volume	335
DOIs	https://doi.org/10.1016/j.jcp.2017.01.045
Publication status	Published - Apr 15 2017
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2017 Elsevier Inc.

ASJC Scopus Subject Areas

Numerical Analysis
Modelling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

Keywords

Breakage
Fragmentation
Method of moments
Moment projection method
Particulate systems
Population balance

Access to Document

10.1016/j.jcp.2017.01.045

Cite this

@article{cee4a5d024ca4056848689749a9edc44,

title = "Extension of moment projection method to the fragmentation process",

abstract = "The method of moments is a simple but efficient method of solving the population balance equation which describes particle dynamics. Recently, the moment projection method (MPM) was proposed and validated for particle inception, coagulation, growth and, more importantly, shrinkage; here the method is extended to include the fragmentation process. The performance of MPM is tested for 13 different test cases for different fragmentation kernels, fragment distribution functions and initial conditions. Comparisons are made with the quadrature method of moments (QMOM), hybrid method of moments (HMOM) and a high-precision stochastic solution calculated using the established direct simulation algorithm (DSA) and advantages of MPM are drawn.",

keywords = "Breakage, Fragmentation, Method of moments, Moment projection method, Particulate systems, Population balance",

author = "Shaohua Wu and Yapp, {Edward K.Y.} and Jethro Akroyd and Sebastian Mosbach and Rong Xu and Wenming Yang and Markus Kraft",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Inc.",

year = "2017",

month = apr,

day = "15",

doi = "10.1016/j.jcp.2017.01.045",

language = "English",

volume = "335",

pages = "516--534",

journal = "Journal of Computational Physics",

issn = "0021-9991",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Extension of moment projection method to the fragmentation process

AU - Wu, Shaohua

AU - Yapp, Edward K.Y.

AU - Akroyd, Jethro

AU - Mosbach, Sebastian

AU - Xu, Rong

AU - Yang, Wenming

AU - Kraft, Markus

PY - 2017/4/15

Y1 - 2017/4/15

N2 - The method of moments is a simple but efficient method of solving the population balance equation which describes particle dynamics. Recently, the moment projection method (MPM) was proposed and validated for particle inception, coagulation, growth and, more importantly, shrinkage; here the method is extended to include the fragmentation process. The performance of MPM is tested for 13 different test cases for different fragmentation kernels, fragment distribution functions and initial conditions. Comparisons are made with the quadrature method of moments (QMOM), hybrid method of moments (HMOM) and a high-precision stochastic solution calculated using the established direct simulation algorithm (DSA) and advantages of MPM are drawn.

AB - The method of moments is a simple but efficient method of solving the population balance equation which describes particle dynamics. Recently, the moment projection method (MPM) was proposed and validated for particle inception, coagulation, growth and, more importantly, shrinkage; here the method is extended to include the fragmentation process. The performance of MPM is tested for 13 different test cases for different fragmentation kernels, fragment distribution functions and initial conditions. Comparisons are made with the quadrature method of moments (QMOM), hybrid method of moments (HMOM) and a high-precision stochastic solution calculated using the established direct simulation algorithm (DSA) and advantages of MPM are drawn.

KW - Breakage

KW - Fragmentation

KW - Method of moments

KW - Moment projection method

KW - Particulate systems

KW - Population balance

UR - http://www.scopus.com/inward/record.url?scp=85011345077&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85011345077&partnerID=8YFLogxK

U2 - 10.1016/j.jcp.2017.01.045

DO - 10.1016/j.jcp.2017.01.045

M3 - Article

AN - SCOPUS:85011345077

SN - 0021-9991

VL - 335

SP - 516

EP - 534

JO - Journal of Computational Physics

JF - Journal of Computational Physics

ER -

Extension of moment projection method to the fragmentation process

Abstract

Bibliographical note

ASJC Scopus Subject Areas

Keywords

Access to Document

Other files and links

Fingerprint

Cite this