The quadrature method of moments and its relationship with the method of weighted residuals
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Lage [318] developed DuQMoGeM, using one quadrature rule for discretizing the particulate system and another for evaluating integrals of breakage and aggregation terms; it is based on an extension of MOM-WRM and implemented in a Galerkin formulation.
“A further contribution has been proposed by Lage [318] who developed a new method called the dual quadrature method of generalized moments (DuQMoGeM). One quadrature rule is employed for discretizing the particulate system and another one is utilized to evaluate the integrals of the breakage and aggregation terms in the equations of the moments. The whole approach is based on an extension of the M”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [316]
Dorao and Jakobsen [316] proposed MOM-MWR, a weighted residual formulation of MOM using Lagrangian polynomials for trial functions; it does not present the problem of reconstructing the NDF and is not ill-conditioned for computing the quadrature rule like QMOM.
“For instance, Dorao and Jakobsen [316] proposed a weighted residual formulation of the MOM called MOM-MWR that utilizes Lagrangian polynomials for the trial functions. This approach does not present the problem of reconstructing the NDF, and it is not an ill-conditioned algorithm for computing the quadrature rule, like the QMOM.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [316]
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References 32 · Cited by 18
- Authors
- Dorao, C. A., & Jakobsen, H. A.
- Affiliations
- Norwegian University of Science and Technology (NO)
- Corresponding author
- Jakobsen, H.A.
- ORCID
- Dorao, C.A.
- Venue
- Chemical Engineering Science
- Publisher
- Elsevier BV
- Published
- 2006-12
- Volume
- 61
- Issue
- 23
- Pages
- 7795-7804
- ISSN
- 0009-2509 (ISSN-L)
- OpenAlex
- W2081935429
- Cited by
- 18
- References
- 32
- Citations by year
- 2022: 3 · 2020: 1 · 2013: 5 · 2012: 1
- FWCI
- 1.16
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Chemical Engineering Science (publishedVersion)
- Topics
- Physical Sciences › Engineering › Computational Mechanics › Granular flow and fluidized beds
- Physical Sciences › Engineering › Biomedical Engineering › Fluid Dynamics and Mixing
- Physical Sciences › Engineering › Control and Systems Engineering › Process Optimization and Integration
- Keywords
- quadrature method of moments, weighted residual method, population balance model, closure problem
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