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פותח על ידי קלירמאש פתרונות בע"מ -
Accelerated convergence of the numerical simulation of incompressible flow in general curvilinear co-ordinates by discretizations on the double-staggered grids
Year:
2008
Authors :
ארבל, אברהם
;
.
שקליאר, אלכסנדר
;
.
Volume :
57
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:
205
To page:
236
(
Total pages:
32
)
Abstract:
The convergence rate of a methodology for solving incompressible flow in general curvilinear co-ordinates is analyzed. Double-staggered grids (DSGs), each defined by the same boundaries as the physical domain, are used for discretization. Both grids are 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 cells. The problem was checked against benchmark solutions of natural convection in a squeezed cavity, heat transfer in concentric horizontal cylindrical annuli, and a hot cylinder in a duct. Poisson's pressure-correction equations that arise from the SIMPLE-like procedure are solved by several methods: successive overrelaxation, symmetric overrelaxation, modified incomplete factorization preconditioner, conjugate gradient (CG), and CG with preconditioner. A genetic algorithm was developed to solve problems of numerical optimization of SIMPLE-like calculation time in a space of iteration numbers and relaxation parameters. The application provides a means of making an unbiased comparison between the DSGs method and the widely used interpolation method. Furthermore, the convergence rate was demonstrated by application to the calculation of natural convection heat transfer in concentric horizontal cylindrical annuli. Calculation times when DSGs were used were 2-10 times shorter than those achieved by interpolation. With the DSGs method, calculation time increases slightly with increasing non-orthogonality of the grids, whereas an interpolation method calls for very small iteration parameters that lead to unacceptable calculation times. Copyright © 2007 John Wiley & Sons, Ltd.
Note:
Related Files :
Cartesian velocity
computer simulation
Convergence of numerical methods
Double-staggered grids
Factorization
optimization
עוד תגיות
תוכן קשור
More details
DOI :
10.1002/fld.1632
Article number:
0
Affiliations:
Database:
סקופוס
Publication Type:
מאמר
;
.
Language:
אנגלית
Editors' remarks:
ID:
21524
Last updated date:
02/03/2022 17:27
Creation date:
16/04/2018 23:44
You may also be interested in
Scientific Publication
Accelerated convergence of the numerical simulation of incompressible flow in general curvilinear co-ordinates by discretizations on the double-staggered grids
57
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 the double-staggered grids
The convergence rate of a methodology for solving incompressible flow in general curvilinear co-ordinates is analyzed. Double-staggered grids (DSGs), each defined by the same boundaries as the physical domain, are used for discretization. Both grids are 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 cells. The problem was checked against benchmark solutions of natural convection in a squeezed cavity, heat transfer in concentric horizontal cylindrical annuli, and a hot cylinder in a duct. Poisson's pressure-correction equations that arise from the SIMPLE-like procedure are solved by several methods: successive overrelaxation, symmetric overrelaxation, modified incomplete factorization preconditioner, conjugate gradient (CG), and CG with preconditioner. A genetic algorithm was developed to solve problems of numerical optimization of SIMPLE-like calculation time in a space of iteration numbers and relaxation parameters. The application provides a means of making an unbiased comparison between the DSGs method and the widely used interpolation method. Furthermore, the convergence rate was demonstrated by application to the calculation of natural convection heat transfer in concentric horizontal cylindrical annuli. Calculation times when DSGs were used were 2-10 times shorter than those achieved by interpolation. With the DSGs method, calculation time increases slightly with increasing non-orthogonality of the grids, whereas an interpolation method calls for very small iteration parameters that lead to unacceptable calculation times. Copyright © 2007 John Wiley & Sons, Ltd.
Scientific Publication
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