Geodesic
Numerical simulation of the problem on the two-dimensional reconstruction of axisymmetric flow velocity profiles
Numerical methods and programming, Tome 6 (2005) no. 1, pp. 9-16

Voir la notice de l'article provenant de la source Math-Net.Ru

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
Mots-clés : error estimation. 
@article{VMP_2005_6_1_a1,
     author = {N. N. Nikolaeva and S. V. Ruchkin and M. N. Rychagov and A. G. Yagola},
     title = {Numerical simulation of the problem on the two-dimensional reconstruction of axisymmetric flow velocity profiles},
     journal = {Numerical methods and programming},
     pages = {9--16},
     publisher = {mathdoc},
     volume = {6},
     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2005_6_1_a1/}
}
TY  - JOUR
AU  - N. N. Nikolaeva
AU  - S. V. Ruchkin
AU  - M. N. Rychagov
AU  - A. G. Yagola
TI  - Numerical simulation of the problem on the two-dimensional reconstruction of axisymmetric flow velocity profiles
JO  - Numerical methods and programming
PY  - 2005
SP  - 9
EP  - 16
VL  - 6
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VMP_2005_6_1_a1/
LA  - ru
ID  - VMP_2005_6_1_a1
ER  - 
%0 Journal Article
%A N. N. Nikolaeva
%A S. V. Ruchkin
%A M. N. Rychagov
%A A. G. Yagola
%T Numerical simulation of the problem on the two-dimensional reconstruction of axisymmetric flow velocity profiles
%J Numerical methods and programming
%D 2005
%P 9-16
%V 6
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMP_2005_6_1_a1/
%G ru
%F VMP_2005_6_1_a1
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. Numerical methods and programming, Tome 6 (2005) no. 1, pp. 9-16. http://geodesic.mathdoc.fr/item/VMP_2005_6_1_a1/