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Article information
2002 , Volume 7, ¹ 1, p.66-74
Voevodin A.F., Gontcharova O.N.
Method for numerical investigation of 2D convection problems on the basis of splitting into physical processes
On the basis of method of splitting into physical processes the numerical method is suggested for investigation of convective fluid flows. It is characterized by energetic neutrality of velocity field. The splitting into two steps (convection and diffusion) is developed in convection equations written in original variables. Convection step is realized for the velocity. The conversion to new functions (vorticity and stream function) is used on the diffusion step. It eliminates the pressure gradient calculation and guarantees the solenoidality of velocity vector. The method is tested on the well-known problems on free convection in square cavity with one-side heating.
[full text] Classificator Msc2000:- *35Q30 Stokes and Navier-Stokes equations
- 65N06 Finite difference methods
- 76R05 Forced convection
Keywords: Oberbeck-Boussinesq equations, Navier-Stokes equations, stability and convergence
Author(s):
Voevodin A F
Dr. , Professor
Position: General Scientist
Office: Lavrentiev Hydrodynamic Institute OfSB RAS
Address: 630090, Russia, Novosibirsk
Phone Office: (383) 333 17 82
E-mail: voevodin@hydro.nsc.ru
Gontcharova Olga Nikolaevna
Dr. , Associate Professor
Position: Professor
Office: Altai State University
Address: 656049, Russia, Barnaul
Phone Office: (3832)331819
E-mail: gon@math.asu.ru
Bibliography link:
Voevodin A.F., Gontcharova O.N. Method for numerical investigation of 2D convection problems on the basis of splitting into physical processes // Computational technologies. 2002. V. 7. ¹ 1. P. 66-74
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