Multivariate Quadrature-Based Moments Methods for turbulent polydisperse gas-liquid systems
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Buffo et al. proposed a fully-conservative DQMOM.
“the authors proposed an alternative formulation of it called the fully-conservative DQMOM.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [326]
CQMOM and DQMOM results agree very well with DSMC, but the computational time required by CQMOM and DQMOM is significantly lower than that required by DSMC.
“Results show a very good agreement among the aforementioned methods, but the computational time required by the CQMOM and the DQMOM is significantly lower compared to the one required by the DSMC.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [326]
CQMOM is a very stable and efficient algorithm, and all physical quantities of interest are conserved since moments are transported.
“Numerical results show that the CQMOM is a very stable and efficient algorithm, and all the physical quantities of interest are conserved since moments are transported.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [326]
The DQMOM does not conserve moments in the presence of numerical diffusion.
“Since the DQMOM does not conserve moments in presence of numerical diffusion, the authors proposed an alternative formulation of it called the fully-conservative DQMOM.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [326]
Cites
Numerical recipes in Fortran (The art of scientific computing)
Ames, W. F., & Brezinski, C. (1993) · Mathematics and Computers in Simulation · doi:10.1016/0378-4754(93)90043-t · Cited by 4,306 · see citing works
Shampine, L. F., & Reichelt, M. W. (1997) · SIAM Journal on Scientific Computing · doi:10.1137/s1064827594276424 · Cited by 3,628 · see citing works
Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction
Toro, E. F. (1999) · doi:10.1007/978-3-662-03490-3 · Cited by 2,925 · see citing works
Some problems in particle technology
Hulburt, H. M., & Katz, S. (1964) · Chemical Engineering Science · doi:10.1016/0009-2509(64)85047-8 · Cited by 1,670 · see citing works
Description of aerosol dynamics by the quadrature method of moments
McGraw, R. (1997) · Aerosol Science and Technology · doi:10.1080/02786829708965471 · Cited by 1,128 · see citing works
Solution of population balance equations using the direct quadrature method of moments
Marchisio, D. L., & Fox, R. O. (2005) · Journal of Aerosol Science · doi:10.1016/j.jaerosci.2004.07.009 · Cited by 803 · see citing works
Self-citationAn eddy cell model of mass transfer into the surface of a turbulent liquid
Lamont, J. C., & Scott, D. S. (1970) · AIChE Journal · doi:10.1002/aic.690160403 · Cited by 676 · see citing works
Quadrature method of moments for aggregation-breakage processes
Marchisio, D. L., Vigil, R. D., & Fox, R. O. (2003) · Journal of Colloid and Interface Science · doi:10.1016/s0021-9797(02)00054-1 · Cited by 524 · see citing works
Self-citationError Bounds in Equilibrium Statistical Mechanics
Gordon, R. G. (1968) · Journal of Mathematical Physics · doi:10.1063/1.1664624 · Cited by 453 · see citing works
High resolution algorithms for multidimensional population balance equations
Gunawan, R., Fusman, I., & Braatz, R. D. (2004) · AIChE Journal · doi:10.1002/aic.10228 · Cited by 324 · see citing works
Application of the direct quadrature method of moments to polydisperse gas–solid fluidized beds
Fan, R., Marchisio, D. L., & Fox, R. O. (2003) · Powder Technology · doi:10.1016/j.powtec.2003.10.005 · Cited by 293 · see citing works
Self-citationModeling of Bubble Column Reactors: Progress and Limitations
Jakobsen, H. A., Lindborg, H., & Dorao, C. A. (2005) · Industrial & Engineering Chemistry Research · doi:10.1021/ie049447x · Cited by 285 · see citing works
Implementation of the quadrature method of moments in CFD codes for aggregation–breakage problems
Marchisio, D. L., Vigil, R. D., & Fox, R. O. (2003) · Chemical Engineering Science · doi:10.1016/s0009-2509(03)00211-2 · Cited by 268 · see citing works
Self-citationApproximate Population Balance Equations for Aggregation–Breakage Processes
Vanni, M. (2000) · Journal of Colloid and Interface Science · doi:10.1006/jcis.1999.6571 · Cited by 244 · see citing works
Self-citationOn the breakup of fluid particles in turbulent flows
Andersson, R., & Andersson, B. (2006) · AIChE Journal · doi:10.1002/aic.10831 · Cited by 241 · see citing works
Conditional quadrature method of moments for kinetic equations
Yuan, C., & Fox, R. O. (2011) · Journal of Computational Physics · doi:10.1016/j.jcp.2011.07.020 · Cited by 232 · see citing works
Self-citationAn Experimental Study of Bubbles Moving in Liquids
Haberman, W. L., & Morton, R. K. (1956) · Transactions of the American Society of Civil Engineers · doi:10.1061/taceat.0007317 · Cited by 210 · see citing works
A quadrature-based moment method for dilute fluid-particle flows
Desjardins, O., Fox, R. O., & Villedieu, P. (2007) · Journal of Computational Physics · doi:10.1016/j.jcp.2007.10.026 · Cited by 197 · see citing works
Self-citationModified moments and Gaussian quadratures
Wheeler, J. C. (1974) · Rocky Mountain Journal of Mathematics · doi:10.1216/rmj-1974-4-2-287 · Cited by 190 · see citing works
Modelling local bubble size distributions in agitated vessels
Laakkonen, M., Moilanen, P., Alopaeus, V., & Aittamaa, J. R. (2006) · Chemical Engineering Science · doi:10.1016/j.ces.2006.10.006 · Cited by 187 · see citing works
A direct simulation Monte-Carlo method for cluster coagulation
Liffman, K. (1992) · Journal of Computational Physics · doi:10.1016/0021-9991(92)90314-o · Cited by 170 · see citing works
Gimbun, J., Rielly, C. D., & Nagy, Z. K. (2009) · Process Safety and Environmental Protection · doi:10.1016/j.cherd.2008.12.017 · Cited by 162 · see citing works
Wright, D. L., McGraw, R., & Rosner, D. E. (2001) · Journal of Colloid and Interface Science · doi:10.1006/jcis.2000.7409 · Cited by 160 · see citing works
Analysis of four Monte Carlo methods for the solution of population balances in dispersed systems
Zhao, H., Maisels, A., Matsoukas, T., et al. (2006) · Powder Technology · doi:10.1016/j.powtec.2006.12.010 · Cited by 138 · see citing works
Buffo, A., Vanni, M., & Marchisio, D. L. (2011) · Chemical Engineering Science · doi:10.1016/j.ces.2011.04.042 · Cited by 122 · see citing works
Self-citationZucca, A., Marchisio, D. L., Barresi, A., et al. (2005) · Chemical Engineering Science · doi:10.1016/j.ces.2004.11.061 · Cited by 121 · see citing works
Self-citationPetitti, M., Nasuti, A., Marchisio, D. L., Vanni, M., Baldi, G., Mancini, N., & Podenzani, F. (2009) · AIChE Journal · doi:10.1002/aic.12003 · Cited by 100 · see citing works
Self-citationNumerical advection of moments of the particle size distribution in Eulerian models
Wright, D. L. (2007) · Journal of Aerosol Science · doi:10.1016/j.jaerosci.2006.11.011 · Cited by 100 · see citing works
Realizable high-order finite-volume schemes for quadrature-based moment methods
Vikas, V., Wang, Z. J., Passalacqua, A., & Fox, R. O. (2011) · Journal of Computational Physics · doi:10.1016/j.jcp.2011.03.038 · Cited by 98 · see citing works
Self-citationMultiphase Reacting Flows: Modelling and Simulation
Marchisio, D. L., & Fox, R. O. (2007) · Springer eBooks · doi:10.1007/978-3-211-72464-4 · Cited by 97 · see citing works
Self-citationHigher-order quadrature-based moment methods for kinetic equations
Fox, R. O. (2009) · Journal of Computational Physics · doi:10.1016/j.jcp.2009.07.018 · Cited by 84 · see citing works
Self-citationEvaluation of Zero Order Methods for Simulating Particle Coagulation
Kostoglou, M., & Karabelas, A. J. (1994) · Journal of Colloid and Interface Science · doi:10.1006/jcis.1994.1121 · Cited by 80 · see citing works
The cell average technique for solving multi-dimensional aggregation population balance equations
Kumar, J., Peglow, M., Warnecke, G., & Heinrich, S. (2007) · Computers & Chemical Engineering · doi:10.1016/j.compchemeng.2007.10.001 · Cited by 71 · see citing works
Optimal Moment Sets for Multivariate Direct Quadrature Method of Moments
Fox, R. O. (2008) · Industrial & Engineering Chemistry Research · doi:10.1021/ie801316d · Cited by 62 · see citing works
Self-citationYoon, C., & McGraw, R. (2004) · Journal of Aerosol Science · doi:10.1016/j.jaerosci.2003.11.003 · Cited by 58 · see citing works
Validation of bivariate DQMOM for nanoparticle processes simulation
Zucca, A., Marchisio, D. L., Vanni, M., & Barresi, A. (2007) · AIChE Journal · doi:10.1002/aic.11125 · Cited by 56 · see citing works
Self-citationMass transfer to clean bubbles at low turbulent energy dissipation
Alves, S. S., Vasconcelos, J. M. T., & Orvalho, S. (2005) · Chemical Engineering Science · doi:10.1016/j.ces.2005.08.001 · Cited by 55 · see citing works
Yoon, C., & McGraw, R. (2004) · Journal of Aerosol Science · doi:10.1016/j.jaerosci.2003.11.012 · Cited by 44 · see citing works
Mazzei, L., Marchisio, D. L., & Lettieri, P. (2011) · AIChE Journal · doi:10.1002/aic.13714 · Cited by 41 · see citing works
Self-citationA new discretization of space for the solution of multi-dimensional population balance equations
Nandanwar, M. N., & Kumar, S. (2008) · Chemical Engineering Science · doi:10.1016/j.ces.2008.01.015 · Cited by 33 · see citing works
Mazzei, L., Marchisio, D. L., & Lettieri, P. (2009) · Industrial & Engineering Chemistry Research · doi:10.1021/ie901116y · Cited by 32 · see citing works
Self-citationNumerical simulations of two-component granulation: Comparison of three methods
Marshall, C. L., Rajniak, P., & Matsoukas, T. (2010) · Process Safety and Environmental Protection · doi:10.1016/j.cherd.2010.06.003 · Cited by 30 · see citing works
Modeling of bubble-column flows with quadrature-based moment methods
Vikas, V., Yuan, C., Wang, Z. J., & Fox, R. O. (2011) · Chemical Engineering Science · doi:10.1016/j.ces.2011.03.009 · Cited by 23 · see citing works
Self-citationMulti-fluid CFD Analysis of Chemical Reactors
Hjertager, B. H. (2007) · Springer eBooks · doi:10.1007/978-3-211-72464-4_4 · Cited by 12 · see citing works
Numerical methods for a population‐balance model of a periodic fermentation process
Godin, F. B., Cooper, D. G., & Rey, A. D. (1999) · AIChE Journal · doi:10.1002/aic.690450621 · Cited by 11 · see citing works
A multivariate quadrature based moment method for supersonic combustion modeling
Donde, P., Koo, H., & Raman, V. (2011) · AIAA Aerospace Sciences Meeting · doi:10.2514/6.2011-322 · Cited by 9 · see citing works
Supersonic combustion studies using a multivariate quadrature based method for combustion modeling
Donde, P., Koo, H., & Raman, V. (2011) · AIAA Computational Fluid Dynamics Conference · doi:10.2514/6.2011-3215 · Cited by 4 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Simulation of coalescence, break-up and mass transfer in a gas-liquid stirred tank with CQMOM
Petitti, M., Vanni, M., Marchisio, D. L., Buffo, A., & Podenzani, F. (2013) · Chemical Engineering Journal · doi:10.1016/j.cej.2013.05.047 · Cited by 90 · see citing works
Self-citationModeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review
Luzi, G., & McHardy, C. (2022) · Energies · doi:10.3390/en15113966 · Cited by 44 · see citing works
- Authors
- Buffo, A., Vanni, M., Marchisio, D. L., & Fox, R. O.
- Affiliations
- Politecnico di Torino (IT)
- Iowa State University (US)
- Corresponding author
- Buffo, A.
- Venue
- International Journal of Multiphase Flow
- Publisher
- Elsevier BV
- Published
- 2013-04
- Volume
- 50
- Pages
- 41-57
- ISSN
- 0301-9322 (ISSN-L)
- OpenAlex
- W2045744723
- Cited by
- 96
- References
- 47
- Citations by year
- 2026: 3 · 2025: 6 · 2024: 4 · 2023: 1 · 2022: 6 · 2021: 1 · 2020: 7 · 2019: 7 · 2018: 8 · 2017: 9 · 2016: 16 · 2015: 12 · 2014: 10 · 2013: 5 · 2012: 1
- FWCI
- 4.84
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- International Journal of Multiphase Flow (publishedVersion)
- PORTO@Iris (submittedVersion)
- PORTO Publications Open Repository TOrino (Politecnico di Torino) (submittedVersion)
- Topics
- Physical Sciences › Engineering › Biomedical Engineering › Fluid Dynamics and Mixing
- Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Heat Transfer
- Physical Sciences › Engineering › Ocean Engineering › Particle Dynamics in Fluid Flows
- Keywords
- quadrature method of moments, direct quadrature method of moments, bubble coalescence, bubble rupture, gas-liquid mass transfer, closure problem, numerical diffusion, bubble column, fast chemical reactions
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review