Accelerated Gauss-Seidel Schemes for The Analysis of Sector Pad Thrust Bearings Under Hydrodynamic Lubrication

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This study developed and tested new Gauss-Seidel sweeping schemes (FQS, F-1/8-S) that significantly improve computational efficiency and convergence for analyzing sector pad thrust bearings under hydrodynamic lubrication, with F-1/8-S proving optimal.

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The study proposes a faster computational approach to analyze sector pad thrust bearings under hydrodynamic lubrication by discretizing the Reynolds equation with finite differences and solving for the lubricating-film pressure using the Gauss–Seidel method. It compares existing sweeping strategies (full, half, and quarter sweeps) with several newly proposed sweep schemes, focusing on effects on iteration count and computational time while also reporting load capacity and friction-related outputs. The authors report that the FQS and F-1/8-S schemes improve convergence and computational efficiency with maintained accuracy, while the 1/8-S method shows larger deviations and reduced reliability, making it unsuitable for simulation. This paper does not explicitly discuss endometriosis or adenomyosis; it was included in the corpus via a keyword match in the upstream search index.

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Abstract

The present study proposes a fast and efficient computational approach for analyzing sector pad thrust bearings operating under hydrodynamic lubrication, with the goal of reducing both iteration count and computational time compared to conventional approaches. The Reynolds equation is discretized using the finite difference method and numerically solved by the Gauss-Seidel method to obtain the pressure distribution within the lubricating film. Consequently, the study also examines the load capacity, friction force, and coefficient of friction. Several previous sweeping techniques used in the Gauss-Seidel method including full sweep (FS), half sweep (HS), and quarter sweep (QS) are examined, along with three proposed sweeping techniques namely one-eighth sweep (1/8-S), full-quarter sweep (FQS) and full-one-eighth sweep (F-1/8-S). The newly proposed FQS and F-1/8-S schemes demonstrate substantial improvements in computational efficiency and convergence over traditional approaches, while maintaining good accuracy. In contrast, the 1/8-S method shows larger deviations and reduced reliability, making it unsuitable for simulations. Overall, the FQS and F-1/8-S techniques offer a promising and effective alternative for accelerating the simulation of hydrodynamic lubrication phenomena in sector pad thrust bearings. Among these, the F-1/8-S method achieves the minimum iteration count and computational time, underscoring its advantage as the optimal choice for reducing computational effort.
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Accelerated Gauss-Seidel Schemes for The Analysis of Sector Pad Thrust Bearings Under Hydrodynamic Lubrication | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 24 June 2025 V1 Latest version Share on Accelerated Gauss-Seidel Schemes for The Analysis of Sector Pad Thrust Bearings Under Hydrodynamic Lubrication Authors : Poonam Kumari and Mohammad Sikandar Azam 0000-0001-9081-470X [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.175078807.78692185/v1 231 views 92 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract The present study proposes a fast and efficient computational approach for analyzing sector pad thrust bearings operating under hydrodynamic lubrication, with the goal of reducing both iteration count and computational time compared to conventional approaches. The Reynolds equation is discretized using the finite difference method and numerically solved by the Gauss-Seidel method to obtain the pressure distribution within the lubricating film. Consequently, the study also examines the load capacity, friction force, and coefficient of friction. Several previous sweeping techniques used in the Gauss-Seidel method including full sweep (FS), half sweep (HS), and quarter sweep (QS) are examined, along with three proposed sweeping techniques namely one-eighth sweep (1/8-S), full-quarter sweep (FQS) and full-one-eighth sweep (F-1/8-S). The newly proposed FQS and F-1/8-S schemes demonstrate substantial improvements in computational efficiency and convergence over traditional approaches, while maintaining good accuracy. In contrast, the 1/8-S method shows larger deviations and reduced reliability, making it unsuitable for simulations. Overall, the FQS and F-1/8-S techniques offer a promising and effective alternative for accelerating the simulation of hydrodynamic lubrication phenomena in sector pad thrust bearings. Among these, the F-1/8-S method achieves the minimum iteration count and computational time, underscoring its advantage as the optimal choice for reducing computational effort. Supplementary Material File (zamm format iterative.docx) Download 8.94 MB Information & Authors Information Version history V1 Version 1 24 June 2025 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords full sweep gauss-seidel method half sweep gauss-seidel method hydrodynamic lubrication one-eighth sweep gauss-seidel method quarter sweep gauss-seidel method Authors Affiliations Poonam Kumari Indian Institute of Technology (ISM) Dhanbad View all articles by this author Mohammad Sikandar Azam 0000-0001-9081-470X [email protected] Indian Institute of Technology (ISM) Dhanbad View all articles by this author Metrics & Citations Metrics Article Usage 231 views 92 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Poonam Kumari, Mohammad Sikandar Azam. Accelerated Gauss-Seidel Schemes for The Analysis of Sector Pad Thrust Bearings Under Hydrodynamic Lubrication. Authorea . 24 June 2025. DOI: https://doi.org/10.22541/au.175078807.78692185/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu . 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