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ניגודיות עדינהניגודיות גבוההמונוכרוםהדגשת קישוריםחסימת אנימציהפונט קריאסגוראיפוס הגדרות נגישותלהורדת מודול נגישות חינםניהול

קהילה:

אסיף מאגר המחקר החקלאי

Accelerated convergence of the numerical simulation of incompressible flow in general curvilinear co-ordinates by discretizations on overset grids

Year:

2009

Source of publication :

Mathematics and Computers in SimulationAuthors :

ארבל, אברהם

;

.

שקליאר, אלכסנדר

;

.

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

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

עוד תגיות

תוכן קשור

More details

DOI :

10.1016/j.matcom.2009.01.008

Article number:

0

Affiliations:

Database:

סקופוס

Publication Type:

מאמר

;

.

Language:

אנגלית

Editors' remarks:

ID:

30440

Last updated date:

02/03/2022 17:27

Creation date:

17/04/2018 00:54

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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

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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