A CCD-ADI method for unsteady convection-diffusion equations

A Fourth-Order Compact Finite Difference Scheme for Solving Unsteady Convection-Diffusion Equations

Convection-diffusion equations are widely used for modeling and simulations of various complex phenomena in science and engineering (Hundsdorfer & Verwer, 2003; Morton, 1996). Since for most application problems it is impossible to solve convection-diffusion equations analytically, efficient numerical algorithms are becoming increasingly important to numerical simulations involving convection-d...

A high-order Padé ADI method for unsteady convection-diffusion equations

A rational high-order compact ADI method for unsteady convection-diffusion equations

Article history: Received 30 October 2009 Received in revised form 17 October 2010 Accepted 12 November 2010 Available online 19 November 2010

A Numerical Modeling for Natural Convection Heat Transfer in Porous Media With Generated Internal Heat Sources

In this paper a numerical method is used to study the unsteady state natural convection heat transfer within a confined porous media with uniform internal heat generation. The governing equations based on the Darcy model and Bossiness approximations are solved, using the finite difference Alternating Direction Implicit (ADI) method. The developed program was used to simulate natural convection ...

High-order ADI schemes for convection-diffusion equations with mixed derivative terms

We consider new high-order Alternating Direction Implicit (ADI) schemes for the numerical solution of initial-boundary value problems for convection-diffusion equations with cross derivative terms. Our approach is based on the unconditionally stable ADI scheme proposed by Hundsdorfer [12]. Different numerical discretizations which lead to schemes which are fourth-order accurate in space and sec...