Advances in Computer Science and Engineering
Volume 1, Issue 2, Pages 119 - 129
(July 2007)
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THREE-DIMENSIONAL NUMERICAL COMPUTATION OF FLUID FLOW BY PRECONDITIONING ITERATIVE METHOD
H. Hirano (Japan), H. Niki (Japan) and N. Okamoto (Japan)
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Abstract:
Three-dimensional numerical computation of natural convection in an enclosure of an incompressible Newtonian fluid was carried out by a preconditioning Gauss-Seidel iterative method using the SIMPLE (Semi-Implicit Method for Pressure-Linked Equations) algorithm. Preconditioners adopted consist of entries of an original coefficient matrix, and these preconditioners can be obtained without any calculations. The iteration number to solve the linear system of equations of the pressure-correction was reduced to about 42-72% of that without preconditioning. The effect of preconditioning was almost independent of grid number in the present computations. |
| Keywords and phrases: preconditioning iterative method, natural convection, three-dimensional computation. |
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