Improvement of SIMPLER Algorithm for Incompressible Flow on Collocated Grid System

2007 ◽  
Vol 51 (5) ◽  
pp. 463-486 ◽  
Author(s):  
Y. P. Cheng ◽  
T. S. Lee ◽  
H. T. Low ◽  
W. Q. Tao
Keyword(s):  
Incompressible Flow ◽  
Grid System ◽  
Simpler Algorithm ◽  
Collocated Grid

IMPROVEMENT OF SIMPLER ALGORITHM FOR INCOMPRESSIBLE FLOW ON STAGGERED GRID SYSTEM

2007 ◽  
Vol 18 (07) ◽  
pp. 1149-1155
Author(s):  
T. S. LEE ◽  
Y. P. CHENG ◽  
H. T. LOW
Keyword(s):  
Convergence Rate ◽  
Incompressible Flow ◽  
Numerical Results ◽  
Staggered Grid ◽  
Convergence Criterion ◽  
Grid System ◽  
Numerical Examples ◽  
Simpler Algorithm ◽  
Iteration Number ◽  
Relaxation Factors

In this paper, the updating of the intermediate velocity in the correction stage in SIMPLE-like algorithms on staggered grid is discussed in detail, based on the discussion CLEARER algorithm that is extended from the non-staggered grid to the staggered grid. The performance of SIMPLER and CLEARER algorithms are compared using two numerical examples with reliable solutions. The results show that CLEARER can predict the numerical results as accurately as SIMPLER, and it can also enhance the convergence rate greatly under low under-relaxation factors. In some cases CLEARER algorithm can only need 27% of iteration number required by SIMPLER to reach the same convergence criterion.

Implementation of an efficient segregated algorithm-IDEAL on 3D collocated grid system

2009 ◽  
Vol 54 (6) ◽  
pp. 929-942 ◽  
Author(s):  
DongLiang Sun ◽  
ZhiGuo Qu ◽  
YaLing He ◽  
WenQuan Tao
Keyword(s):  
Grid System ◽  
Collocated Grid

scholarly journals Performance Analyses of IDEAL Algorithm on Highly Skewed Grid System

2014 ◽  
Vol 6 ◽  
pp. 813510
Author(s):  
Dongliang Sun ◽  
Jinliang Xu ◽  
Peng Ding
Keyword(s):  
Convergence Rate ◽  
Curvilinear Coordinates ◽  
Grid System ◽  
Time Step ◽  
Fine Grid ◽  
Simpler Algorithm ◽  
Inclined Cavity ◽  
Transfer Problems ◽  
Ideal Algorithm ◽  
The Ideal

IDEAL is an efficient segregated algorithm for the fluid flow and heat transfer problems. This algorithm has now been extended to the 3D nonorthogonal curvilinear coordinates. Highly skewed grids in the nonorthogonal curvilinear coordinates can decrease the convergence rate and deteriorate the calculating stability. In this study, the feasibility of the IDEAL algorithm on highly skewed grid system is analyzed by investigating the lid-driven flow in the inclined cavity. It can be concluded that the IDEAL algorithm is more robust and more efficient than the traditional SIMPLER algorithm, especially for the highly skewed and fine grid system. For example, at θ = 5° and grid number = 70 × 70 × 70, the convergence rate of the IDEAL algorithm is 6.3 times faster than that of the SIMPLER algorithm, and the IDEAL algorithm can converge almost at any time step multiple.

scholarly journals Second-order kinetic energy-conservative analysis of incompressible turbulence under a collocated grid system

2020 ◽  
Vol 1633 ◽  
pp. 012063
Author(s):  
Hiroki Suzuki ◽  
Yutaka Hasegawa ◽  
Masaya Watanabe ◽  
Ushijima Tatsuo ◽  
Shinsuke Mochizuki
Keyword(s):  
Kinetic Energy ◽  
Second Order ◽  
Order Kinetic ◽  
Grid System ◽  
Collocated Grid ◽  
Incompressible Turbulence
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