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ISSN Online: 2377-424X

ISBN Print: 1-56032-797-9

International Heat Transfer Conference 11
August, 23-28, 1998, Kyongju, Korea

IMPLICIT NUMERICAL METHOD FOR SOLVING OF FLUID MECHANICS, HEAT AND MASS TRANSFER EQUATIONS

Get access (open in a dialog) DOI: 10.1615/IHTC11.3860
pages 307-312

Abstract

Present paper concerns major aspects of a numerical technique for solving fluid mechanics, heat and mass equations (Artemyev, 1992, 1997). A discretization of governing equations is carried out on the base of monotonous balance neutral (MBN) difference schemes which allow to keep some important integral properties of differential operators. A difference equation for pressure is derived from difference continuity and momentum equations. The discrete equations obtained are nonlinear so linearizing is introduced and implicit iterative procedure is developed for yielding converged solution. Explicit incomplete factorization method is employed for solving linearized momentum, heat and mass transfer difference equations and a variant of the method using Chebyshev acceleration − for solving pressure equation. Results of numerical studies are presented.