Vorticity—velocity formulation in the computation of flows in multiconnected domains
作者:
F. Stella,
G. Guj,
期刊:
International Journal for Numerical Methods in Fluids
(WILEY Available online 1989)
卷期:
Volume 9,
issue 10
页码: 1285-1298
ISSN:0271-2091
年代: 1989
DOI:10.1002/fld.1650091008
出版商: John Wiley&Sons, Ltd
关键词: Navier–Stokes equations;Vorticity–velocity;Multiconnected domains;Pressure single‐valuedness
数据来源: WILEY
摘要:
AbstractThe thermofluid dynamic fields in two‐dimensional multiconnected domains are analysed by solving the Navier–Stokes equations with the Boussinesq approximation in the vorticity–velocity formulation. The need of an integral condition for the pressure to be single‐valued on each independent irreducible loop, in analogy with the ω–Ψ formulation, is demonstrated. The field equations are discretized by a finite difference technique and solved at the steady state via an alternating direction implicit method of a scalar type. Two test cases at low Reynolds and Rayleigh numbers are considered: the multiconnected driven cavity and an annulus with isothermal walls and stationary or rotating inn
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