CANONICAL-ELEMENT METHOD FOR MODELING
HYDRODYNAMICS AND HEAT AND MASS EXCHANGE
IN ARBITRARILY SHAPED REGIONS

N. I. Nikitenko,a Yu. N. Kol'chik,b and
N. N. Sorokovayaa

UDC 532.516:536.24

A numerical method of solution of nonstationary problems 
of flow and heat and mass exchange of a viscous incompressible fluid 
in two-dimensional multiply connected regions of an arbitrary shape 
with curvilinear boundaries is presented; this numerical method is 
based on the canonical-element method, the three-layer scaling difference 
scheme, and the three-layer explicit difference scheme. A method of 
finding the vortex function at the curvilinear boundaries of the region 
is proposed. Results of solution of some two-dimensional problems 
of hydrodynamics and heat exchange for different regimes of flow are 
presented.

aInstitute of Technical Thermal Physics, National Academy 
of Sciences of Ukraine, Kiev, Ukraine; bKiev National University 
of Civil Engineering and Architecture, Kiev, Ukraine. Translated from 
Inzhenerno-Fizicheskii Zhurnal, Vol. 75, No. 6, pp. 74-80, November-December, 
2002. Original article submitted March 18, 2002.

JEPTER7492020021
JEPTER749201