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Fourth Order Exponential Compact Alternating Direction Implicit (ADI) Scheme for Solving Three-Dimensional Convection-Diffusion Equations | ||
| basrah journal of science | ||
| Article 1, Volume 29, Issue 1, 2011, Pages 111-127 PDF (0 K) | ||
| Author | ||
| Shatha A. Mahdi | ||
| Abstract | ||
| In this paper, fourth order exponential compact alternating direction implicit (ADI) finite difference scheme for solving unsteady 3D convection-diffusion equation with constant coefficients is derived. This scheme is second order in time and fourth order in space. The formulation is solved with an efficient numerical method corresponds the solution of tridiagonal systems. The accuracy and efficiency of this scheme are discussed. We proved a higher order discretization scheme is unconditionally stable with respect to the initial values by using Fourier analysis. Numerical results are presented and compared with the fourth order compact ADI scheme by (Karaa , 2006). | ||
| Keywords | ||
| Three; dimensional unsteady convection; diffusion; high order compact exponential scheme; ADI method; stability | ||
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