
This article is cited in 1 scientific paper (total in 1 paper)
Numerical simulation of the problem on the twodimensional reconstruction of axisymmetric flow velocity profiles
N. N. Nikolaeva^{a}, S. V. Ruchkin^{b}, M. N. Rychagov^{b}, A. G. Yagola^{a} ^{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 crosssection transport channels. Our approach is based on applying special ultrasonic flowmeters and on solving an Abeltype integral equation whose righthand side is assumed to be given with errors at a finite number of measurement points. In order to formulate the problem as wellposed according to Tikhonov, we use the natural a priori information on a velocity vector distribution. It is assumed that the exact solution of the Abeltype 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, Abeltype integral equation, symmetric flow velocity profile reconstruction, error estimation
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UDC:
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Citation:
N. N. Nikolaeva, S. V. Ruchkin, M. N. Rychagov, A. G. Yagola, “Numerical simulation of the problem on the twodimensional 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 twodimensional reconstruction of axisymmetric flow velocity profiles
\jour Vychisl. Metody Programm.
\yr 2005
\vol 6
\issue 1
\pages 916
\mathnet{http://mi.mathnet.ru/vmp624}
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http://mi.mathnet.ru/eng/vmp624 http://mi.mathnet.ru/eng/vmp/v6/i1/p9
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This publication is cited in the following articles:

A. G. Yagola, “Nekorrektnye zadachi s apriornoi informatsiei”, Sib. elektron. matem. izv., 7 (2010), 343–361

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