Article ID Journal Published Year Pages File Type
653212 International Communications in Heat and Mass Transfer 2014 10 Pages PDF
Abstract

This work presents a Crank–Nicolson extrapolation scheme for the two-dimensional time-dependent conduction–convection equations. Mixed finite element method is applied for the spatial approximation of the velocity, pressure and temperature. The time discretization is based on the Crank–Nicolson scheme for the linear term and semi-implicit scheme for the nonlinear term. Moreover, the stability analysis and error estimations are derived. Finally, numerical tests confirm the theoretical results of the presented method and show the efficient method conserves the property of divergence free of the original equations to some extent.

Related Topics
Physical Sciences and Engineering Chemical Engineering Fluid Flow and Transfer Processes
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