Shape optimization with p adaptivity

Raviprakash R. Salagame, Ashok D. Belegundu

    Research output: Contribution to journalArticle

    9 Citations (Scopus)

    Abstract

    The p method of analysis, when used with shape optimization, has certain advantages over the h method. The method of h adaptivity results in fine meshes with small elements in areas of stress concentration. The presence of these small elements prevents the shape from changing significantly during optimization due to mesh distortion. The p-adaptive method uses relatively large sized elements, and adaptivity is achieved by increasing the polynomial order of the shape functions rather than by introducing small elements as in the h method. Thus, the p-adaptive method allows for greater shape changes without sacrificing the accuracy of the analysis. A methodology is developed in this paper to integratep-adaptive analysis with shape optimization for general velocity fields. The key contributions lie in an easily implementable shape update strategy and an adaptive scheme to locally increase the polynomial order based on error indicators. Numerical results show that significant shape change is achievable prior to serious mesh distortion. In addition, need for an h-p adaptive strategy rather than a pure p-adaptive strategy is also highlighted.

    Original languageEnglish (US)
    Pages (from-to)2399-2405
    Number of pages7
    JournalAIAA journal
    Volume33
    Issue number12
    DOIs
    StatePublished - Jan 1 1995

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    Shape optimization
    Polynomials
    Stress concentration

    All Science Journal Classification (ASJC) codes

    • Aerospace Engineering

    Cite this

    Salagame, Raviprakash R. ; Belegundu, Ashok D. / Shape optimization with p adaptivity. In: AIAA journal. 1995 ; Vol. 33, No. 12. pp. 2399-2405.
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    Shape optimization with p adaptivity. / Salagame, Raviprakash R.; Belegundu, Ashok D.

    In: AIAA journal, Vol. 33, No. 12, 01.01.1995, p. 2399-2405.

    Research output: Contribution to journalArticle

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