WSEAS Transactions on Fluid Mechanics
Print ISSN: 1790-5087, E-ISSN: 2224-347X
Volume 10, 2015
Theta Method Comparative Study of 2D Asymmetric Diffusion Problem with Convection on the Wall
Author: Jacob Nagler
Abstract: In this paper, numerical simulation based on generalized Crank-Nicolson method (which is also known as theta method) was performed in case of 2D diffusion problem with asymmetrical convection B.C on the walls. Also, model calibration was involved during numerical simulation model. Additionally, comparison between numerical and analytical solutions was made while qualitative compatibility was found between solutions. Moreover, maximum error between these solutions was found to be about 7.5%. Comparisons between other studies and current numerical and analytic solutions have been proved to be coincided.