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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 4, Pages 530–540
DOI: https://doi.org/10.7868/S004446691804004X
(Mi zvmmf10716)
 

This article is cited in 7 scientific papers (total in 7 papers)

Asymptotic expansion of Crocco solution and the Blasius constant

V. P. Varin

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia
Citations (7)
References:
Abstract: We consider the Crocco equation (the reduction of the Blasius equation). The use of this more simple equation for computation of the Blasius constant leads to some unexpected difficulties, which have been unexplained. We computed the asymptotic expansion of the solution to Crocco equation at its singularity. This expansion was unknown before. We describe the structure of the Riemann surface of the Crocco solution at the singularity. These results were used for construction of an effective numerical algorithm, which is based on analytical continuation, for computation of the Blasius constant with an arbitrary and guaranteed accuracy. We computed the Blasius constant with a 100 decimal places.
Key words: Crocco equation, Blasius constant, asymptotic expansion, analytical continuation.
Received: 06.03.2017
Revised: 10.08.2017
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 4, Pages 517–528
DOI: https://doi.org/10.1134/S0965542518040164
Bibliographic databases:
Document Type: Article
UDC: 516.62
Language: Russian
Citation: V. P. Varin, “Asymptotic expansion of Crocco solution and the Blasius constant”, Zh. Vychisl. Mat. Mat. Fiz., 58:4 (2018), 530–540; Comput. Math. Math. Phys., 58:4 (2018), 517–528
Citation in format AMSBIB
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  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Abstract page:197
    References:45
     
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