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 Vychisl. Metody Programm.: Year: Volume: Issue: Page: Find

 Vychisl. Metody Programm., 2005, Volume 6, Issue 1, Pages 9–16 (Mi vmp624)

Numerical simulation of the problem on the two-dimensional reconstruction of axisymmetric flow velocity profiles

N. N. Nikolaevaa, S. V. Ruchkinb, M. N. Rychagovb, A. G. Yagolaa

a Lomonosov Moscow State University, Faculty of Physics
b Moscow State Institute of Electronic Technology (Technical University)

Abstract: In this paper we consider a numerical method for the axisymmetric flow velocity profile reconstruction and for the pointwise error estimation of reconstruction in the case of fluid or gas flow in circular cross-section transport channels. Our approach is based on applying special ultrasonic flowmeters and on solving an Abel-type integral equation whose right-hand side is assumed to be given with errors at a finite number of measurement points. In order to formulate the problem as well-posed according to Tikhonov, we use the natural a priori information on a velocity vector distribution. It is assumed that the exact solution of the Abel-type equation is a monotonic convex bounded function. In this case, it is possible to determine the error of an approximate solution. We propose a sufficiently simple algorithm for solving the problem; this algorithm is applicable when the number of experimental data is arbitrary.

Keywords: ultrasonic flowmeters, Abel-type integral equation, symmetric flow velocity profile reconstruction, error estimation

Full text: PDF file (407 kB)
UDC: 519.6

Citation: N. N. Nikolaeva, S. V. Ruchkin, M. N. Rychagov, A. G. Yagola, “Numerical simulation of the problem on the two-dimensional reconstruction of axisymmetric flow velocity profiles”, Vychisl. Metody Programm., 6:1 (2005), 9–16

Citation in format AMSBIB
\Bibitem{NikRucRyc05} \by N.~N.~Nikolaeva, S.~V.~Ruchkin, M.~N.~Rychagov, A.~G.~Yagola \paper Numerical simulation of the problem on the two-dimensional reconstruction of axisymmetric flow velocity profiles \jour Vychisl. Metody Programm. \yr 2005 \vol 6 \issue 1 \pages 9--16 \mathnet{http://mi.mathnet.ru/vmp624} 

• http://mi.mathnet.ru/eng/vmp624
• http://mi.mathnet.ru/eng/vmp/v6/i1/p9

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Citing articles on Google Scholar: Russian citations, English citations
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This publication is cited in the following articles:
1. A. G. Yagola, “Nekorrektnye zadachi s apriornoi informatsiei”, Sib. elektron. matem. izv., 7 (2010), 343–361