메뉴 건너뛰기




Volumn 201, Issue 1, 2007, Pages 247-257

Least-squares spectral method for solving advective population balance problems

Author keywords

Least squares method; Multiphase flow; Population balance equation

Indexed keywords

COMPUTATION THEORY; COMPUTATIONAL FLUID DYNAMICS; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; NUMERICAL METHODS; PROBLEM SOLVING;

EID: 33846124313     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2006.02.020     Document Type: Article
Times cited : (25)

References (21)
  • 1
    • 33846157358 scopus 로고    scopus 로고
    • P. Bochev, Finite element methods based on least-squares and modified variational principles, Technical Report, POSTECH, 2001, 〈http://com2mac.postech.ac.kr/Lecture/Lec-5.pdf〉.
  • 3
    • 0030086888 scopus 로고    scopus 로고
    • A wavelet-Galerkin method for solving population balance equations
    • Chen M., Hwang C., and Shih Y. A wavelet-Galerkin method for solving population balance equations. Comput. Chem. Eng. 20 2 (1996) 131-145
    • (1996) Comput. Chem. Eng. , vol.20 , Issue.2 , pp. 131-145
    • Chen, M.1    Hwang, C.2    Shih, Y.3
  • 4
    • 23944474378 scopus 로고    scopus 로고
    • The use of Chebyshev in the space-time least-squares spectral element method
    • De Maerschalck B., and Gerritsma M.I. The use of Chebyshev in the space-time least-squares spectral element method. Numer. Algorithms 38 (2005) 173-196
    • (2005) Numer. Algorithms , vol.38 , pp. 173-196
    • De Maerschalck, B.1    Gerritsma, M.I.2
  • 5
    • 33846166036 scopus 로고    scopus 로고
    • B. De Maerschalck, M.I. Gerritsma, High-order Gauss-Lobatto integration for non-linear hyperbolic equations, Sixth International Conference on Spectral and High Order Methods, Brown University, Providence, RI, USA, June 21-25, 2005.
  • 7
    • 33846145975 scopus 로고    scopus 로고
    • C.A. Dorao, H.A. Jakobsen, Time-space least squares spectral element method for the population balance problems, Advances in Computational Methods in Science and Engineering 2005, ICCMSE, 21-26 October 2005, Greece, Lecture Series on Computer and Computational Sciences, vol. 4A, 2005, pp. 171-174.
  • 8
    • 33846155510 scopus 로고    scopus 로고
    • C.A. Dorao, H.A. Jakobsen, An evaluation of selected numerical methods for solving the population balance equation, Fourth International Conference on CFD in the Oil and Gas, Metallurgical and Process Industries, SINTEF/NTNU Trondheim, Norway, 6-8 June 2005.
  • 9
    • 30344471862 scopus 로고    scopus 로고
    • A least square method for the solution of population balance problems
    • Dorao C.A., and Jakobsen H.A. A least square method for the solution of population balance problems. Comput. Chem. Eng. 30 (2006) 535-547
    • (2006) Comput. Chem. Eng. , vol.30 , pp. 535-547
    • Dorao, C.A.1    Jakobsen, H.A.2
  • 10
    • 33846151952 scopus 로고    scopus 로고
    • H.A. Jakobsen, C.A. Dorao, Challenges on population balance modelling of the coalescence and breakage processes in bubble column reactors, 16th International Congress of Chemical and Process Engineering (CHISA 2004), Prague-Czech Republic, 22-26 August 2004.
  • 11
    • 22944441941 scopus 로고    scopus 로고
    • Modeling of bubble column reactors: progress and limitations
    • Jakobsen H.A., Lindborg H., and Dorao C.A. Modeling of bubble column reactors: progress and limitations. Industrial Eng. Chem. Res. 44 14 (2005) 5107-5151
    • (2005) Industrial Eng. Chem. Res. , vol.44 , Issue.14 , pp. 5107-5151
    • Jakobsen, H.A.1    Lindborg, H.2    Dorao, C.A.3
  • 13
    • 0025445673 scopus 로고
    • Optimal error analysis of spectral methods with emphasis on non-constant coefficients and deformed geometries
    • Maday Y., and Rønquist E.M. Optimal error analysis of spectral methods with emphasis on non-constant coefficients and deformed geometries. Comput. Methods Appl. Mech. Eng. 9 (1990) 91-115
    • (1990) Comput. Methods Appl. Mech. Eng. , vol.9 , pp. 91-115
    • Maday, Y.1    Rønquist, E.M.2
  • 14
    • 0035890622 scopus 로고    scopus 로고
    • Numerical solution of multi-variable cell population balance models. II. Spectral methods
    • Mantzaris N.V., Daoutidis P., and Srienc F. Numerical solution of multi-variable cell population balance models. II. Spectral methods. Comput. Chem. Eng. 25 (2001) 1441-1462
    • (2001) Comput. Chem. Eng. , vol.25 , pp. 1441-1462
    • Mantzaris, N.V.1    Daoutidis, P.2    Srienc, F.3
  • 15
    • 25644449644 scopus 로고    scopus 로고
    • Solution of population balance equation with pure aggregation in a fully developed turbulent pipe flow
    • Nere N.K., and Ramkrishna D. Solution of population balance equation with pure aggregation in a fully developed turbulent pipe flow. Chem. Eng. Sci. 61 (2006) 96-103
    • (2006) Chem. Eng. Sci. , vol.61 , pp. 96-103
    • Nere, N.K.1    Ramkrishna, D.2
  • 16
    • 0141850310 scopus 로고    scopus 로고
    • Spectral/hp least-squares finite element formulation for the incompressible Navier-Stokes equation
    • Pontaza J.P., and Reddy J.N. Spectral/hp least-squares finite element formulation for the incompressible Navier-Stokes equation. J. Comput. Phys. 190 2 (2003) 523-549
    • (2003) J. Comput. Phys. , vol.190 , Issue.2 , pp. 523-549
    • Pontaza, J.P.1    Reddy, J.N.2
  • 17
    • 3242685785 scopus 로고    scopus 로고
    • Space-time coupled spectral/hp least squares finite element formulation for the incompressible Navier-Stokes equation
    • Pontaza J.P., and Reddy J.N. Space-time coupled spectral/hp least squares finite element formulation for the incompressible Navier-Stokes equation. J. Comput. Phys. 190 2 (2004) 418-459
    • (2004) J. Comput. Phys. , vol.190 , Issue.2 , pp. 418-459
    • Pontaza, J.P.1    Reddy, J.N.2
  • 18
    • 0010916838 scopus 로고    scopus 로고
    • A least-squares spectral element formulation for stokes problem
    • Proot M.M.J., and Gerritsma M.I. A least-squares spectral element formulation for stokes problem. J. Sci. Comput. 17 1-4 (2002) 285-296
    • (2002) J. Sci. Comput. , vol.17 , Issue.1-4 , pp. 285-296
    • Proot, M.M.J.1    Gerritsma, M.I.2
  • 20
    • 0002990802 scopus 로고
    • On the solution of statistical models of cell populations
    • Subramani G., and Ramkrishna D. On the solution of statistical models of cell populations. Math. Biosci. 10 (1971) 1-23
    • (1971) Math. Biosci. , vol.10 , pp. 1-23
    • Subramani, G.1    Ramkrishna, D.2
  • 21
    • 0034650756 scopus 로고    scopus 로고
    • Approximate population balance equation for aggregation-breakage processes
    • Vanni M. Approximate population balance equation for aggregation-breakage processes. J. Coll. Int. Sci. 221 2 (2000) 143-160
    • (2000) J. Coll. Int. Sci. , vol.221 , Issue.2 , pp. 143-160
    • Vanni, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.