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Volumn 35, Issue 11, 2011, Pages 2186-2203

On the representation of QMOM as a weighted-residual method-The dual-quadrature method of generalized moments

Author keywords

Multiphase flow; Multiphase reactors; Population balance; Quadrature based methods; Simulation; Weight residual methods

Indexed keywords

MULTI-PHASE REACTOR; POPULATION BALANCES; QUADRATURE-BASED METHODS; SIMULATION; WEIGHT-RESIDUAL METHODS;

EID: 80052609843     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compchemeng.2011.05.017     Document Type: Article
Times cited : (39)

References (33)
  • 1
    • 33744534716 scopus 로고    scopus 로고
    • Numerical solution of moment-transformed population balance equation with fixed quadrature newblock
    • Alopaeus V., Laakkonen M., Aittamaa J. Numerical solution of moment-transformed population balance equation with fixed quadrature newblock. Chemical Engineering Science 2006, 61:4919-4929.
    • (2006) Chemical Engineering Science , vol.61 , pp. 4919-4929
    • Alopaeus, V.1    Laakkonen, M.2    Aittamaa, J.3
  • 2
    • 33748036074 scopus 로고    scopus 로고
    • Solution of population balances with breakage and agglomeration by high-order moment-conserving method of classes
    • Alopaeus V., Laakkonen M., Aittamaa J. Solution of population balances with breakage and agglomeration by high-order moment-conserving method of classes. Chemical Engineering Science 2006, 61:6732-6752.
    • (2006) Chemical Engineering Science , vol.61 , pp. 6732-6752
    • Alopaeus, V.1    Laakkonen, M.2    Aittamaa, J.3
  • 3
    • 58949095935 scopus 로고    scopus 로고
    • Solution of the population balance equation using the sectional quadrature method of moments (SQMOM)
    • Attarakih M.M., Drumm C., Bart H.-J. Solution of the population balance equation using the sectional quadrature method of moments (SQMOM). Chemical Engineering Science 2009, 64:742-752.
    • (2009) Chemical Engineering Science , vol.64 , pp. 742-752
    • Attarakih, M.M.1    Drumm, C.2    Bart, H.-J.3
  • 5
    • 30344471862 scopus 로고    scopus 로고
    • A least squares method for the solution of population balance problems
    • Dorao C.A., Jakobsen H.A. A least squares method for the solution of population balance problems. Computers and Chemical Engineering 2006, 30:535-547.
    • (2006) Computers and Chemical Engineering , vol.30 , pp. 535-547
    • Dorao, C.A.1    Jakobsen, H.A.2
  • 7
    • 33750477342 scopus 로고    scopus 로고
    • The quadrature method of moments and its relationship with the weighted residuals
    • Dorao C.A., Jakobsen H.A. The quadrature method of moments and its relationship with the weighted residuals. Chemical Engineering Science 2006, 61:7795-7804.
    • (2006) Chemical Engineering Science , vol.61 , pp. 7795-7804
    • Dorao, C.A.1    Jakobsen, H.A.2
  • 8
    • 33846246006 scopus 로고    scopus 로고
    • Time-space-property least squares spectral method for population balance problems
    • Dorao C.A., Jakobsen H.A. Time-space-property least squares spectral method for population balance problems. Chemical Engineering Science 2007, 62:1323-1333.
    • (2007) Chemical Engineering Science , vol.62 , pp. 1323-1333
    • Dorao, C.A.1    Jakobsen, H.A.2
  • 9
    • 41149150404 scopus 로고    scopus 로고
    • Hp-adaptive least squares spectral element method for population balance equations
    • Dorao C.A., Jakobsen H.A. hp-adaptive least squares spectral element method for population balance equations. Applied Numerical Mathematics 2008, 58:563-576.
    • (2008) Applied Numerical Mathematics , vol.58 , pp. 563-576
    • Dorao, C.A.1    Jakobsen, H.A.2
  • 10
    • 0346368089 scopus 로고    scopus 로고
    • Application of the direct quadrature method of moments to polydisperse, gas-solid fluidized beds
    • Fan R., Marchisio D.L., Fox R.O. Application of the direct quadrature method of moments to polydisperse, gas-solid fluidized beds. Powder Technology 2004, 139:7-20.
    • (2004) Powder Technology , vol.139 , pp. 7-20
    • Fan, R.1    Marchisio, D.L.2    Fox, R.O.3
  • 11
    • 0028388229 scopus 로고
    • Algorithm 726: ORTHPOL-A package of routines for generating orthogonal polynomials and Gauss-type quadrature rules
    • Gautschi W. Algorithm 726: ORTHPOL-A package of routines for generating orthogonal polynomials and Gauss-type quadrature rules. ACM Transactions on Mathematical Software 1994, 20:21-62.
    • (1994) ACM Transactions on Mathematical Software , vol.20 , pp. 21-62
    • Gautschi, W.1
  • 12
    • 18244396022 scopus 로고    scopus 로고
    • Orthogonal polynomials: Computation and approximation
    • Oxford University Press, Oxford, Great Britain
    • Gautschi W. Orthogonal polynomials: Computation and approximation. Numerical mathematics and scientific computation 2004, Oxford University Press, Oxford, Great Britain.
    • (2004) Numerical mathematics and scientific computation
    • Gautschi, W.1
  • 13
    • 33845510874 scopus 로고
    • Numerical solution of the dynamic equation for particulate systems
    • Gelbard F., Seinfeld J.H. Numerical solution of the dynamic equation for particulate systems. Journal of Computational Physics 1978, 28:357-375.
    • (1978) Journal of Computational Physics , vol.28 , pp. 357-375
    • Gelbard, F.1    Seinfeld, J.H.2
  • 14
    • 0000072192 scopus 로고
    • Error bounds in equilibrium statistical mechanics
    • Gordon R. Error bounds in equilibrium statistical mechanics. Journal of Mathematical Physics 1968, 9:655.
    • (1968) Journal of Mathematical Physics , vol.9 , pp. 655
    • Gordon, R.1
  • 15
  • 17
    • 0030128282 scopus 로고    scopus 로고
    • On the solution of population balance equations by discretization-I. A fixed pivot technique
    • Kumar S., Ramkrishna D. On the solution of population balance equations by discretization-I. A fixed pivot technique. Chemical Engineering Science 1996, 51:1311-1332.
    • (1996) Chemical Engineering Science , vol.51 , pp. 1311-1332
    • Kumar, S.1    Ramkrishna, D.2
  • 18
    • 10044271895 scopus 로고    scopus 로고
    • Solution of population balance equations using the direct quadrature method of moments
    • Marchisio D.L., Fox R.O. Solution of population balance equations using the direct quadrature method of moments. Journal of Aerosol Science 2005, 36:43-73.
    • (2005) Journal of Aerosol Science , vol.36 , pp. 43-73
    • Marchisio, D.L.1    Fox, R.O.2
  • 19
    • 0037615768 scopus 로고    scopus 로고
    • Implementation of the quadrature method of moments in CFD codes for aggregation-breakage problems
    • Marchisio D.L., Vigil R.D., Fox R.O. Implementation of the quadrature method of moments in CFD codes for aggregation-breakage problems. Chemical Engineering Science 2003, 58:3337-3351.
    • (2003) Chemical Engineering Science , vol.58 , pp. 3337-3351
    • Marchisio, D.L.1    Vigil, R.D.2    Fox, R.O.3
  • 21
    • 0038263890 scopus 로고    scopus 로고
    • Analytical solution for a population balance equation with aggregation and fragmentation
    • McCoy B., Madras G. Analytical solution for a population balance equation with aggregation and fragmentation. Chemical Engineering Science 2003, 58:3049-3051.
    • (2003) Chemical Engineering Science , vol.58 , pp. 3049-3051
    • McCoy, B.1    Madras, G.2
  • 22
    • 0031214085 scopus 로고    scopus 로고
    • Description of aerosol dynamics by the quadrature method of moments
    • McGraw R. Description of aerosol dynamics by the quadrature method of moments. Aerosol Science and Technology 1997, 27:255.
    • (1997) Aerosol Science and Technology , vol.27 , pp. 255
    • McGraw, R.1
  • 23
    • 78049385438 scopus 로고    scopus 로고
    • Bubble size distribution modeling in stirred gas-liquid reactors with QMOM augmented by a new correction algorithm
    • Petitti M., Nasuti A., Marchisio D.L., Vanni M., Baldi G., Mancini N., et al. Bubble size distribution modeling in stirred gas-liquid reactors with QMOM augmented by a new correction algorithm. AIChE Journal 2010, 56:36-53.
    • (2010) AIChE Journal , vol.56 , pp. 36-53
    • Petitti, M.1    Nasuti, A.2    Marchisio, D.L.3    Vanni, M.4    Baldi, G.5    Mancini, N.6
  • 24
    • 0003452273 scopus 로고
    • A description of DASSL: A differential/algebraic system solver (Technical report). Sandia National Laboratories
    • Petzold, L. (1982). A description of DASSL: A differential/algebraic system solver (Technical report). Sandia National Laboratories.
    • (1982)
    • Petzold, L.1
  • 26
    • 52949119551 scopus 로고    scopus 로고
    • Implementation and analysis of numerical solution of the population balance equation in CFD packages
    • Silva L.F.L.R., Damian R.B., Lage P.L.C. Implementation and analysis of numerical solution of the population balance equation in CFD packages. Computers and Chemical Engineering 2008, 32:2933-2945.
    • (2008) Computers and Chemical Engineering , vol.32 , pp. 2933-2945
    • Silva, L.F.L.R.1    Damian, R.B.2    Lage, P.L.C.3
  • 27
    • 80052617231 scopus 로고    scopus 로고
    • Implementation of an Eulerian multi-phase model in OpenFOAM and its application to polydisperse two-phase flows
    • ICON, London, England
    • Silva L.F.L.R., Lage P.L.C. Implementation of an Eulerian multi-phase model in OpenFOAM and its application to polydisperse two-phase flows. Proceedings of the 1st OpenFOAM international conference, volume CDROM 2007, ICON, London, England, 16 pp.
    • (2007) Proceedings of the 1st OpenFOAM international conference, volume CDROM , pp. 16
    • Silva, L.F.L.R.1    Lage, P.L.C.2
  • 29
    • 55749104693 scopus 로고    scopus 로고
    • An adaptive direct quadrature method of moment for population balance equations
    • Su J., Gu Z., Li Y., Feng S., Xu X.Y. An adaptive direct quadrature method of moment for population balance equations. AIChE Journal 2008, 54:2872-2887.
    • (2008) AIChE Journal , vol.54 , pp. 2872-2887
    • Su, J.1    Gu, Z.2    Li, Y.3    Feng, S.4    Xu, X.Y.5
  • 30
    • 68649088123 scopus 로고    scopus 로고
    • Advances in numerical methods for the solution of population balance equations for disperse phase systems
    • Su J., Gu Z., Xu X.Y. Advances in numerical methods for the solution of population balance equations for disperse phase systems. Science in China Series B: Chemistry 2009, 52:1063-1079.
    • (2009) Science in China Series B: Chemistry , vol.52 , pp. 1063-1079
    • Su, J.1    Gu, Z.2    Xu, X.Y.3
  • 31
    • 16544389002 scopus 로고    scopus 로고
    • Representation of generally mixed multivariate aerosols by the quadrature method of moments: I. Statistical foundation
    • Yoon C., McGraw R. Representation of generally mixed multivariate aerosols by the quadrature method of moments: I. Statistical foundation. Aerosol Science 2004, 35:561-576.
    • (2004) Aerosol Science , vol.35 , pp. 561-576
    • Yoon, C.1    McGraw, R.2
  • 32
    • 69949172464 scopus 로고    scopus 로고
    • On the coupled solution of a combined population balance model using the least-squares spectral element method
    • Zhu Z.J., Dorao C.A., Lucas D., Jakobsen H.A. On the coupled solution of a combined population balance model using the least-squares spectral element method. Industrial & Engineering Chemistry Research 2009, 48:7994-8006.
    • (2009) Industrial & Engineering Chemistry Research , vol.48 , pp. 7994-8006
    • Zhu, Z.J.1    Dorao, C.A.2    Lucas, D.3    Jakobsen, H.A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.