A numerical method for the solution of the wave model and convection dominated diffusion type models for catalytic packed bed reactors

A.A. Iordanidis, M. van Sint Annaland, Alexandre E. Kronberg, J.A.M. Kuipers

    Research output: Contribution to journalArticleAcademicpeer-review

    4 Citations (Scopus)

    Abstract

    A general numerical method for the solution of non-steady state wave and convection dominated dispersion packed bed reactor models is presented. Several numerical problems specific for this type of equations are addressed. Special care is taken to accurately and stably discretize the convection terms. The stiffness of the model equations is tackled by a simple but robust method based on the Newton¿Kantorovich procedure and accompanied with an automatic time stepping mechanism. A new technique is proposed to automatically select and solve the minimum possible number of equations. The focus of this article is on the development of simple but robust approximation techniques for dealing with particular numerical problems and their coupling in an overall algorithm. All the methods described in this article have been implemented in a software package for the mathematical modeling of catalytic packed bed reactors.
    Original languageUndefined
    Pages (from-to)2337-2349
    Number of pages12
    JournalComputers & chemical engineering
    Volume28
    Issue number11
    DOIs
    Publication statusPublished - 2004

    Keywords

    • IR-49589
    • METIS-222211

    Cite this

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    title = "A numerical method for the solution of the wave model and convection dominated diffusion type models for catalytic packed bed reactors",
    abstract = "A general numerical method for the solution of non-steady state wave and convection dominated dispersion packed bed reactor models is presented. Several numerical problems specific for this type of equations are addressed. Special care is taken to accurately and stably discretize the convection terms. The stiffness of the model equations is tackled by a simple but robust method based on the Newton¿Kantorovich procedure and accompanied with an automatic time stepping mechanism. A new technique is proposed to automatically select and solve the minimum possible number of equations. The focus of this article is on the development of simple but robust approximation techniques for dealing with particular numerical problems and their coupling in an overall algorithm. All the methods described in this article have been implemented in a software package for the mathematical modeling of catalytic packed bed reactors.",
    keywords = "IR-49589, METIS-222211",
    author = "A.A. Iordanidis and {van Sint Annaland}, M. and Kronberg, {Alexandre E.} and J.A.M. Kuipers",
    year = "2004",
    doi = "10.1016/j.compchemeng.2004.04.011",
    language = "Undefined",
    volume = "28",
    pages = "2337--2349",
    journal = "Computers & chemical engineering",
    issn = "0098-1354",
    publisher = "Elsevier",
    number = "11",

    }

    A numerical method for the solution of the wave model and convection dominated diffusion type models for catalytic packed bed reactors. / Iordanidis, A.A.; van Sint Annaland, M.; Kronberg, Alexandre E.; Kuipers, J.A.M.

    In: Computers & chemical engineering, Vol. 28, No. 11, 2004, p. 2337-2349.

    Research output: Contribution to journalArticleAcademicpeer-review

    TY - JOUR

    T1 - A numerical method for the solution of the wave model and convection dominated diffusion type models for catalytic packed bed reactors

    AU - Iordanidis, A.A.

    AU - van Sint Annaland, M.

    AU - Kronberg, Alexandre E.

    AU - Kuipers, J.A.M.

    PY - 2004

    Y1 - 2004

    N2 - A general numerical method for the solution of non-steady state wave and convection dominated dispersion packed bed reactor models is presented. Several numerical problems specific for this type of equations are addressed. Special care is taken to accurately and stably discretize the convection terms. The stiffness of the model equations is tackled by a simple but robust method based on the Newton¿Kantorovich procedure and accompanied with an automatic time stepping mechanism. A new technique is proposed to automatically select and solve the minimum possible number of equations. The focus of this article is on the development of simple but robust approximation techniques for dealing with particular numerical problems and their coupling in an overall algorithm. All the methods described in this article have been implemented in a software package for the mathematical modeling of catalytic packed bed reactors.

    AB - A general numerical method for the solution of non-steady state wave and convection dominated dispersion packed bed reactor models is presented. Several numerical problems specific for this type of equations are addressed. Special care is taken to accurately and stably discretize the convection terms. The stiffness of the model equations is tackled by a simple but robust method based on the Newton¿Kantorovich procedure and accompanied with an automatic time stepping mechanism. A new technique is proposed to automatically select and solve the minimum possible number of equations. The focus of this article is on the development of simple but robust approximation techniques for dealing with particular numerical problems and their coupling in an overall algorithm. All the methods described in this article have been implemented in a software package for the mathematical modeling of catalytic packed bed reactors.

    KW - IR-49589

    KW - METIS-222211

    U2 - 10.1016/j.compchemeng.2004.04.011

    DO - 10.1016/j.compchemeng.2004.04.011

    M3 - Article

    VL - 28

    SP - 2337

    EP - 2349

    JO - Computers & chemical engineering

    JF - Computers & chemical engineering

    SN - 0098-1354

    IS - 11

    ER -