Performance Analyses of IDEAL Algorithm on Highly Skewed Grid System

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 calcu...

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Main Authors: Dongliang Sun, Jinliang Xu, Peng Ding
Format: Article
Language:English
Published: SAGE Publishing 2014-03-01
Series:Advances in Mechanical Engineering
Online Access:https://doi.org/10.1155/2014/813510
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author Dongliang Sun
Jinliang Xu
Peng Ding
author_facet Dongliang Sun
Jinliang Xu
Peng Ding
author_sort Dongliang Sun
collection DOAJ
description 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.
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spelling doaj.art-02de034b5a7a4814a83d0801533f17ba2022-12-21T22:27:50ZengSAGE PublishingAdvances in Mechanical Engineering1687-81322014-03-01610.1155/2014/81351010.1155_2014/813510Performance Analyses of IDEAL Algorithm on Highly Skewed Grid SystemDongliang Sun0Jinliang Xu1Peng Ding2 Beijing Key Laboratory of Energy Safety and Clean Utilization, North China Electric Power University, Beijing 102206, China Beijing Key Laboratory of Energy Safety and Clean Utilization, North China Electric Power University, Beijing 102206, China College of Storage & Transportation and Architectural Engineering, China University of Petroleum (Hua Dong), Qingdao, Shandong 266555, ChinaIDEAL 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.https://doi.org/10.1155/2014/813510
spellingShingle Dongliang Sun
Jinliang Xu
Peng Ding
Performance Analyses of IDEAL Algorithm on Highly Skewed Grid System
Advances in Mechanical Engineering
title Performance Analyses of IDEAL Algorithm on Highly Skewed Grid System
title_full Performance Analyses of IDEAL Algorithm on Highly Skewed Grid System
title_fullStr Performance Analyses of IDEAL Algorithm on Highly Skewed Grid System
title_full_unstemmed Performance Analyses of IDEAL Algorithm on Highly Skewed Grid System
title_short Performance Analyses of IDEAL Algorithm on Highly Skewed Grid System
title_sort performance analyses of ideal algorithm on highly skewed grid system
url https://doi.org/10.1155/2014/813510
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