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Accelerated convergence of the numerical simulation of incompressible flow in general curvilinear co-ordinates by discretizations on overset grids
Year:
2009
Authors :
Arbel, Avraham
;
.
Shklyar, Alexander
;
.
Volume :
79
Co-Authors:
Shklyar, A., Institute of Agricultural Engineering, Agricultural Research Organization, The Volcani Center, P.O. Box 6, Bet Dagan, 50250, Israel
Arbel, A., Institute of Agricultural Engineering, Agricultural Research Organization, The Volcani Center, P.O. Box 6, Bet Dagan, 50250, Israel
Facilitators :
From page:
2476
To page:
2489
(
Total pages:
14
)
Abstract:
The convergence rate of a methodology for solving incompressible flow in general curvilinear co-ordinates is analyzed. Overset grids (double-staggered grids type), each defined by the same boundaries as the physical domain are used for discretization. Both grids are Marker and Cell (MAC) quadrilateral meshes with scalar variables (pressure, temperature, etc.) arranged at the center and the Cartesian velocity components at the middle of the sides of the mesh. The problem was checked against benchmark solutions of natural convection in a squeezed cavity, heat transfer in concentric and eccentric horizontal cylindrical annuli and hot cylinder in a duct. Convergence properties of Poisson's pressure equations which arise from application of the SIMPLE-like procedure are analyzed by several methods: successive overrelaxation, symmetric successive overrelaxation, modified incomplete factorization, and conjugate gradient. A genetic algorithm was developed to solve problems of numerical optimization of calculation time, in a space of iteration numbers and relaxation factors. The application provides a means of making an unbiased comparison between the double-staggered grids method and the standard interpolation method. Furthermore, the convergence rate was demonstrated with the well-known calculation of natural convection heat transfer in concentric horizontal cylindrical annuli. Calculation times when double staggered grids were used were 6-10 times shorter than those achieved by interpolation. © 2009 IMACS.
Note:
Related Files :
Accelerated convergences
Calculation time
Incomplete factorizations
Natural convection heat transfers
Quadrilateral meshes
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Related Content
More details
DOI :
10.1016/j.matcom.2009.01.008
Article number:
0
Affiliations:
Database:
Scopus
Publication Type:
article
;
.
Language:
English
Editors' remarks:
ID:
30440
Last updated date:
02/03/2022 17:27
Creation date:
17/04/2018 00:54
Scientific Publication
Accelerated convergence of the numerical simulation of incompressible flow in general curvilinear co-ordinates by discretizations on overset grids
79
Shklyar, A., Institute of Agricultural Engineering, Agricultural Research Organization, The Volcani Center, P.O. Box 6, Bet Dagan, 50250, Israel
Arbel, A., Institute of Agricultural Engineering, Agricultural Research Organization, The Volcani Center, P.O. Box 6, Bet Dagan, 50250, Israel
Accelerated convergence of the numerical simulation of incompressible flow in general curvilinear co-ordinates by discretizations on overset grids
The convergence rate of a methodology for solving incompressible flow in general curvilinear co-ordinates is analyzed. Overset grids (double-staggered grids type), each defined by the same boundaries as the physical domain are used for discretization. Both grids are Marker and Cell (MAC) quadrilateral meshes with scalar variables (pressure, temperature, etc.) arranged at the center and the Cartesian velocity components at the middle of the sides of the mesh. The problem was checked against benchmark solutions of natural convection in a squeezed cavity, heat transfer in concentric and eccentric horizontal cylindrical annuli and hot cylinder in a duct. Convergence properties of Poisson's pressure equations which arise from application of the SIMPLE-like procedure are analyzed by several methods: successive overrelaxation, symmetric successive overrelaxation, modified incomplete factorization, and conjugate gradient. A genetic algorithm was developed to solve problems of numerical optimization of calculation time, in a space of iteration numbers and relaxation factors. The application provides a means of making an unbiased comparison between the double-staggered grids method and the standard interpolation method. Furthermore, the convergence rate was demonstrated with the well-known calculation of natural convection heat transfer in concentric horizontal cylindrical annuli. Calculation times when double staggered grids were used were 6-10 times shorter than those achieved by interpolation. © 2009 IMACS.
Scientific Publication
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