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

Authors

  • N.N. Nikolaeva
  • A.G. Yagola
  • S.V. Ruchkin
  • M.N. Rychagov

Keywords:

ультразвуковые измерения потоков
интегральное уравнение типа Абеля
реконструкция симметричных профилей скорости
оценка погрешности
численные методы

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.

New computational technologies

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Published

2004-12-24

Issue

Vol. 6 (2005): Issue 1.

Section

Section 1. Numerical methods and applications

Author Biographies

N.N. Nikolaeva

Lomonosov Moscow State University,
Faculty of Physics

A.G. Yagola

Lomonosov Moscow State University,
Faculty of Physics

S.V. Ruchkin

National Research University of Electronic Technology (MIET)

M.N. Rychagov

National Research University of Electronic Technology (MIET)

References

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