메뉴 건너뛰기




Volumn 193, Issue 2, 2006, Pages 484-496

A moving collocation method for the solution of the transient convection-diffusion-reaction problems

Author keywords

Adaptive spline collocation; Diffusion convection reaction; Numerical simulation; Steep gradients

Indexed keywords

COMPUTER SIMULATION; ERROR ANALYSIS; FINITE DIFFERENCE METHOD; PROBLEM SOLVING;

EID: 33646238026     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.03.079     Document Type: Article
Times cited : (6)

References (16)
  • 1
    • 2442612915 scopus 로고    scopus 로고
    • Comparison of finite difference methods for the numerical simulation of reacting flow
    • Alhumaizi K.I. Comparison of finite difference methods for the numerical simulation of reacting flow. Comput. Chem. Eng. 28 (2004) 1759-1769
    • (2004) Comput. Chem. Eng. , vol.28 , pp. 1759-1769
    • Alhumaizi, K.I.1
  • 2
    • 0033921775 scopus 로고    scopus 로고
    • On mutating catalytic reactions in a CSTR. I. Multiplicity of steady states
    • Alhumaizi K.I., and Abasaeed A.E. On mutating catalytic reactions in a CSTR. I. Multiplicity of steady states. Chem. Eng. Sci. 55 (2000) 3919-3928
    • (2000) Chem. Eng. Sci. , vol.55 , pp. 3919-3928
    • Alhumaizi, K.I.1    Abasaeed, A.E.2
  • 3
    • 0037445864 scopus 로고    scopus 로고
    • Numerical analysis of a reaction-diffusion-convection system
    • Alhumaizi K.I., Henda R., and Soliman M. Numerical analysis of a reaction-diffusion-convection system. Comput. Chem. Eng. 27 (2003) 579-594
    • (2003) Comput. Chem. Eng. , vol.27 , pp. 579-594
    • Alhumaizi, K.I.1    Henda, R.2    Soliman, M.3
  • 4
    • 0016509377 scopus 로고
    • Orthogonal collocation on finite elements
    • Carey G.F., and Finlayson B.A. Orthogonal collocation on finite elements. Chem. Eng. Sci. 30 (1975) 587-596
    • (1975) Chem. Eng. Sci. , vol.30 , pp. 587-596
    • Carey, G.F.1    Finlayson, B.A.2
  • 5
    • 0242330090 scopus 로고    scopus 로고
    • A Lyapunov formulation for efficient solution of the Poisson and convection-diffusion equations by the differential quadrature method
    • Chen W., and Zhong T. A Lyapunov formulation for efficient solution of the Poisson and convection-diffusion equations by the differential quadrature method. J. Comput. Phys. 139 (1998) 1-7
    • (1998) J. Comput. Phys. , vol.139 , pp. 1-7
    • Chen, W.1    Zhong, T.2
  • 8
    • 0030081518 scopus 로고    scopus 로고
    • A moving collocation method for solving time dependent partial differential equations
    • Huang W., and Russell R.D. A moving collocation method for solving time dependent partial differential equations. Appl. Numer. Math. 20 (1996) 101-116
    • (1996) Appl. Numer. Math. , vol.20 , pp. 101-116
    • Huang, W.1    Russell, R.D.2
  • 9
    • 0034383980 scopus 로고    scopus 로고
    • Optimal selection of orthogonal polynomials applied to the integration of chemical reactor equations by collocation methods
    • Lefervre L., Dochain D., Feyo de Azevedo S., and Magnus A. Optimal selection of orthogonal polynomials applied to the integration of chemical reactor equations by collocation methods. Comput. Chem. Eng. 24 (2000) 2571-2588
    • (2000) Comput. Chem. Eng. , vol.24 , pp. 2571-2588
    • Lefervre, L.1    Dochain, D.2    Feyo de Azevedo, S.3    Magnus, A.4
  • 10
    • 0018480361 scopus 로고
    • A stable and accurate convective modeling procedure based on quadratic upstream interpolation
    • Leonard B.P. A stable and accurate convective modeling procedure based on quadratic upstream interpolation. Comput. Methods Appl. Mech. Eng. 19 (1979) 59-98
    • (1979) Comput. Methods Appl. Mech. Eng. , vol.19 , pp. 59-98
    • Leonard, B.P.1
  • 11
    • 33646238799 scopus 로고    scopus 로고
    • L.R. Petzold, DASSL Fortran code, Computing and Mathematics Research Division, Lawrence Livermore National Laboratory (LLNL), Livermore, CA.
  • 12
    • 0026938609 scopus 로고
    • A spline collocation method for the solution of diffusion-convection problems with chemical reactions
    • Soliman M.A. A spline collocation method for the solution of diffusion-convection problems with chemical reactions. Chem. Eng. Sci. 47 (1992) 4209
    • (1992) Chem. Eng. Sci. , vol.47 , pp. 4209
    • Soliman, M.A.1
  • 13
    • 33646251474 scopus 로고    scopus 로고
    • Studies on the method of orthogonal collocation II. An efficient numerical method for the solution of the transient heat conduction problem
    • Soliman M.A., and Ibrahim I. Studies on the method of orthogonal collocation II. An efficient numerical method for the solution of the transient heat conduction problem. J. King Saud Univ. Eng. Sci. 11 2 (1999) 175-190
    • (1999) J. King Saud Univ. Eng. Sci. , vol.11 , Issue.2 , pp. 175-190
    • Soliman, M.A.1    Ibrahim, I.2
  • 16
    • 84985666013 scopus 로고
    • Application of collocation technique for moving boundary problems in solid-gas reactions
    • Yoshida K., Kunii D., and Shimizu F. Application of collocation technique for moving boundary problems in solid-gas reactions. J. Chem. Eng. Japan 8 (1975) 417-419
    • (1975) J. Chem. Eng. Japan , vol.8 , pp. 417-419
    • Yoshida, K.1    Kunii, D.2    Shimizu, F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.