An application of the N-strip method of integral relations for analyzing the flow around a circular cone

P.J. Zandbergen, H.I. Baurdoux

    Research output: Contribution to journal › Article › Academic

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    Abstract

    The solution of sets of non-linear partial differential equations using the method of integral relations is considered. Emphasis is laid on the derivation of a general N-strip approximation algorithm. In order to check the applicability of this algorithm a program has been written to obtain the solution of the flow field around a circular cone at incidence in supersonic flow. Using the method of Stone, the angle of attack has been taken into account up to the second order. Thus a comparison can be made with the results given by Kopal. The results show that the N-strip algorithm in the case studied is a very attractive method which leads straight-forward to results of high accuracy.
    Original languageEnglish
    Pages (from-to)189-207
    JournalJournal of engineering mathematics
    Volume3
    Issue number3
    DOIs
    Publication statusPublished - 1969

    Fingerprint

    Circular cone
    Strip
    Cones
    Supersonic flow
    Approximation algorithms
    Angle of attack
    Partial differential equations
    Flow fields
    Supersonic Flow
    Nonlinear Partial Differential Equations
    Straight
    Flow Field
    Approximation Algorithms
    Incidence
    High Accuracy
    Attack
    Angle

    Keywords

    • IR-85520

    Cite this

    Zandbergen, P.J. ; Baurdoux, H.I. / An application of the N-strip method of integral relations for analyzing the flow around a circular cone. In: Journal of engineering mathematics. 1969 ; Vol. 3, No. 3. pp. 189-207.
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    abstract = "The solution of sets of non-linear partial differential equations using the method of integral relations is considered. Emphasis is laid on the derivation of a general N-strip approximation algorithm. In order to check the applicability of this algorithm a program has been written to obtain the solution of the flow field around a circular cone at incidence in supersonic flow. Using the method of Stone, the angle of attack has been taken into account up to the second order. Thus a comparison can be made with the results given by Kopal. The results show that the N-strip algorithm in the case studied is a very attractive method which leads straight-forward to results of high accuracy.",
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    author = "P.J. Zandbergen and H.I. Baurdoux",
    year = "1969",
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    Zandbergen, PJ & Baurdoux, HI 1969, 'An application of the N-strip method of integral relations for analyzing the flow around a circular cone', Journal of engineering mathematics, vol. 3, no. 3, pp. 189-207. https://doi.org/10.1007/BF01535168

    An application of the N-strip method of integral relations for analyzing the flow around a circular cone. / Zandbergen, P.J.; Baurdoux, H.I.

    In: Journal of engineering mathematics, Vol. 3, No. 3, 1969, p. 189-207.

    Research output: Contribution to journal › Article › Academic

    TY - JOUR

    T1 - An application of the N-strip method of integral relations for analyzing the flow around a circular cone

    AU - Zandbergen, P.J.

    AU - Baurdoux, H.I.

    PY - 1969

    Y1 - 1969

    N2 - The solution of sets of non-linear partial differential equations using the method of integral relations is considered. Emphasis is laid on the derivation of a general N-strip approximation algorithm. In order to check the applicability of this algorithm a program has been written to obtain the solution of the flow field around a circular cone at incidence in supersonic flow. Using the method of Stone, the angle of attack has been taken into account up to the second order. Thus a comparison can be made with the results given by Kopal. The results show that the N-strip algorithm in the case studied is a very attractive method which leads straight-forward to results of high accuracy.

    AB - The solution of sets of non-linear partial differential equations using the method of integral relations is considered. Emphasis is laid on the derivation of a general N-strip approximation algorithm. In order to check the applicability of this algorithm a program has been written to obtain the solution of the flow field around a circular cone at incidence in supersonic flow. Using the method of Stone, the angle of attack has been taken into account up to the second order. Thus a comparison can be made with the results given by Kopal. The results show that the N-strip algorithm in the case studied is a very attractive method which leads straight-forward to results of high accuracy.

    KW - IR-85520

    U2 - 10.1007/BF01535168

    DO - 10.1007/BF01535168

    M3 - Article

    VL - 3

    SP - 189

    EP - 207

    JO - Journal of engineering mathematics

    JF - Journal of engineering mathematics

    SN - 0022-0833

    IS - 3

    ER -

    Zandbergen PJ, Baurdoux HI. An application of the N-strip method of integral relations for analyzing the flow around a circular cone. Journal of engineering mathematics. 1969;3(3):189-207. https://doi.org/10.1007/BF01535168

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