Library Subscription: Guest
ICHMT DL Home Current Year Archives Executive Committee International Centre for Heat and Mass Transfer


DOI: 10.1615/ICHMT.1997.IntSymLiqTwoPhaseFlowTranspPhenCHT.230
8 pages

Graham de Vahl Davis
University of New South Wales, Kensington, NSW, Australia

Micha Wolfshtein
Faculty of Aerospace Engineering, Technion - Israel Institute of technology, Haifa, Israel


The solution of Poisson equations is an important ingredient of most methods for the solution of the incompressible Navier-Stokes equations. In this paper we report on an empirical study of three traditional methods, namely the Successive Over Relaxation (SOR), the Alternating Directions Implicit (ADI) and the Conjugate-Gradients (CG) methods. The boundary conditions considered are typical to vorticity-vector potential methods, and the discretization is by second order central differences on a Cartesian homogeneous mesh. An over-relaxation parameter for the SOR method and a time step have to be determined. However, such parameters do not depend on the solution, only on the matrix to be inverted. Therefore they can be determined empirically for a given matrix. This makes these methods attractive for time dependent problems. In this paper this is done by trial and error. The results show that these three conventional methods can be used efficiently for such problems. It is also seen that the ADI method is superior to the other two, both in processor time and in number of iterations. Moreover, it appears that the ADI method does not need more time steps for larger meshes, while the two other methods require more iterations or time steps.

ICHMT Digital Library

Bow shocks on a jet-like solid body shape. Thermal Sciences 2004, 2004. Pulsed, supersonic fuel jets - their characteristics and potential for improved diesel engine injection. PULSED, SUPERSONIC FUEL JETS - THEIR CHARACTERISTICS AND POTENTIAL FOR IMPROVED DIESEL ENGINE INJECTION
View of engine compartment components (left). Plots of temperature distributions in centreplane, forward of engine (right). CHT-04 - Advances in Computational Heat Transfer III, 2004. Devel... DEVELOPMENT AND CURRENT STATUS OF INDUSTRIAL THERMOFLUIDS CFD ANALYSIS
Pratt & Whitney's F-135 Joint Strike Fighter Engine under test in Florida is a 3600F class jet engine. TURBINE-09, 2009. Turbine airfoil leading edge stagnation aerodynamics and heat transfe... TURBINE AIRFOIL LEADING EDGE STAGNATION AERODYNAMICS AND HEAT TRANSFER - A REVIEW
Refractive index reconstructed field. (a) Second iteration. (b) Fourth iteration. Radiative Transfer - VI, 2010. Theoretical development for refractive index reconstruction from a radiative ... THEORETICAL DEVELOPMENT FOR REFRACTIVE INDEX RECONSTRUCTION FROM A RADIATIVE TRANSFER EQUATION-BASED ALGORITHM
Two inclusion test, four collimated sources. Radiative Transfer - VI, 2010. New developments in frequency domain optical tomography. Part II. Application with a L-BFGS associated to an inexa... NEW DEVELOPMENTS IN FREQUENCY DOMAIN OPTICAL TOMOGRAPHY. PART II. APPLICATION WITH A L-BFGS ASSOCIATED TO AN INEXACT LINE SEARCH