Numerical simulation of flow around a system of bodies in stream function–vorticity variables
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 3, pp. 144-153
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A numerical algorithm for simulating non-stationary viscous 2D flows based on solving Navier–Stokes equations in stream function–vorticity variables is developed. The algorithm allows to model the forced flows as well as the complex convective flows around a system of bodies in channel. Problem definition is amplified with nonlocal integral equalities based on Pearson conditions in order to obtain boundary values of stream function.
Keywords:
numerical simulation, flow around a system of bodies, Navier–Stokes equations in stream function–vorticity variables, boundary conditions, integral Pearson conditions.
@article{UZKU_2009_151_3_a11,
author = {E. I. Kalinin and A. B. Mazo},
title = {Numerical simulation of flow around a~system of bodies in stream function{\textendash}vorticity variables},
journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
pages = {144--153},
publisher = {mathdoc},
volume = {151},
number = {3},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/UZKU_2009_151_3_a11/}
}
TY - JOUR AU - E. I. Kalinin AU - A. B. Mazo TI - Numerical simulation of flow around a system of bodies in stream function–vorticity variables JO - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki PY - 2009 SP - 144 EP - 153 VL - 151 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UZKU_2009_151_3_a11/ LA - ru ID - UZKU_2009_151_3_a11 ER -
%0 Journal Article %A E. I. Kalinin %A A. B. Mazo %T Numerical simulation of flow around a system of bodies in stream function–vorticity variables %J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki %D 2009 %P 144-153 %V 151 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/UZKU_2009_151_3_a11/ %G ru %F UZKU_2009_151_3_a11
E. I. Kalinin; A. B. Mazo. Numerical simulation of flow around a system of bodies in stream function–vorticity variables. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 3, pp. 144-153. http://geodesic.mathdoc.fr/item/UZKU_2009_151_3_a11/