|
Article information
2009 , Volume 14, ¹ 1, p.21-33
Voevodin A.F., Gontcharova O.N.
A numerical realization for the method of splitting into physical processes for studies of 3D convection problems
A numerical method based on an idea of splitting into physical processes is proposed for investigation of convective fluid flows in the three-dimensional domains with fixed impermeable boundaries. The splitting in the convection equations written in the physical variables is carried out in two steps (the convective and the diffusive transfers Such approach allows eliminating a calculation of the pressure gradient and it guarantees the solenoidality and energetic neutrality of the velocity vector. The convective transfer step is implemented for components of the auxiliary velocity using the Crank-Nickolson schemes. The diffusion transfer step is the one where a reduction to the new input functions is used. The Thomas algorithm with parameters is used for a calculation of each pair of components of the rotor and vector potential of the velocity field.
[full text]
Keywords: Oberbeck-Boussinesq equations, splitting into physical processes, numerical method
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. A numerical realization for the method of splitting into physical processes for studies of 3D convection problems // Computational technologies. 2009. V. 14. ¹ 1. P. 21-33
|
|
|
|
