Volume 39, pp. 32-45, 2012.
A combined fourth-order compact scheme with an accelerated multigrid method for the energy equation in spherical polar coordinates
T. V. S. Sekhar, R. Sivakumar, S. Vimala, and Y. V. S. S. Sanyasiraju
Abstract
A higher-order compact scheme is combined with an accelerated multigrid method to solve
the energy equation in a spherical polar coordinate system. The steady forced convective
heat transfer from a sphere which is under the influence of an external magnetic field
is simulated. The convection terms in the energy equation are handled in a comprehensive
way avoiding complications in the calculations. The angular variation of the Nusselt number and
mean Nusselt number are calculated and compared with recent experimental results. Upon applying
the magnetic field, a slight degradation of the heat transfer is found for moderate values
of the interaction parameter
Full Text (PDF) [889 KB], BibTeX
Key words
higher-order compact scheme, accelerated multigrid method, forced convection heat transfer, external magnetic field
AMS subject classifications
65N06, 65N55, 35Q80
Links to the cited ETNA articles
[21] | Vol. 6 (1997), pp. 211-223 Anand L. Pardhanani, William F. Spotz, and Graham F. Carey: A stable multigrid strategy for convection-diffusion using high order compact discretization |