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

P.J. Zandbergen, H.I. Baurdoux

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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

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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

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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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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 journalArticleAcademic

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 -