{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,4]],"date-time":"2025-03-04T05:47:26Z","timestamp":1741067246441,"version":"3.38.0"},"reference-count":19,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2003,3,1]],"date-time":"2003-03-01T00:00:00Z","timestamp":1046476800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology"],"published-print":{"date-parts":[[2003,3,1]]},"abstract":"<jats:p> With the Reynolds equation, for compressible squeeze-film thrust bearings, the use of a finite difference discretization with a grid of nodes having a non-uniform spacing can result in a more efficient computation of the solution. Comparative tests of two variable spatial grid models against a uniform model were conducted with the classical finite difference methods for chosen combinations of squeeze number and excursion ratio values. For problems with a high value of \u03c3, one of the non-uniform grid models has shown some advantages over the uniform model, requiring a smaller number of nodes and less computation time with the same solution accuracy. <\/jats:p>","DOI":"10.1243\/135065003765714908","type":"journal-article","created":{"date-parts":[[2003,6,11]],"date-time":"2003-06-11T21:05:22Z","timestamp":1055365522000},"page":"243-249","source":"Crossref","is-referenced-by-count":2,"title":["Finite difference automatically generated non-uniform grids in the numerical solution of the Reynolds' compressible one-dimensional squeeze-film equation"],"prefix":"10.1177","volume":"217","author":[{"given":"E. A. M.","family":"Almas","sequence":"first","affiliation":[{"name":"Instituto Superior T\u00e9cnico Departamento de Engenharia Mec\u00e2nica Lisboa, Portugal"}]},{"given":"F. A. P.","family":"De Silva","sequence":"additional","affiliation":[{"name":"Instituto Superior T\u00e9cnico Departamento de Engenharia Mec\u00e2nica Lisboa, Portugal"}]}],"member":"179","published-online":{"date-parts":[[2003,3,1]]},"reference":[{"key":"bibr1-135065003765714908","doi-asserted-by":"publisher","DOI":"10.1090\/qam\/99963"},{"key":"bibr2-135065003765714908","doi-asserted-by":"publisher","DOI":"10.1115\/1.2831292"},{"key":"bibr3-135065003765714908","doi-asserted-by":"publisher","DOI":"10.1115\/1.3601532"},{"key":"bibr4-135065003765714908","doi-asserted-by":"publisher","DOI":"10.1115\/1.3451438"},{"key":"bibr5-135065003765714908","doi-asserted-by":"publisher","DOI":"10.1115\/1.3616961"},{"key":"bibr6-135065003765714908","doi-asserted-by":"publisher","DOI":"10.1115\/1.3601534"},{"key":"bibr7-135065003765714908","doi-asserted-by":"publisher","DOI":"10.1115\/1.3554977"},{"key":"bibr8-135065003765714908","doi-asserted-by":"publisher","DOI":"10.1115\/1.3451453"},{"key":"bibr9-135065003765714908","doi-asserted-by":"publisher","DOI":"10.1115\/1.2921645"},{"key":"bibr10-135065003765714908","doi-asserted-by":"publisher","DOI":"10.1115\/1.2831615"},{"key":"bibr11-135065003765714908","doi-asserted-by":"publisher","DOI":"10.1080\/10402009708983652"},{"key":"bibr12-135065003765714908","doi-asserted-by":"publisher","DOI":"10.1115\/1.2833533"},{"key":"bibr13-135065003765714908","doi-asserted-by":"publisher","DOI":"10.1115\/1.1308020"},{"volume-title":"Fundamentals of Fluid Film Lubrication","year":"1994","author":"Hamrock B. J.","key":"bibr14-135065003765714908"},{"key":"bibr15-135065003765714908","doi-asserted-by":"publisher","DOI":"10.1115\/1.3251442"},{"key":"bibr16-135065003765714908","unstructured":"Almas E. A.M., Silva F. A. P. Finite differences methods for Reynolds equation\u2014a personal computer application. In Proceedings of the Third EPMESC Conference, University of East Asia, Macao, August 1990, Vol. 3, pp. 731\u2013740."},{"key":"bibr17-135065003765714908","unstructured":"Almas E. A. M. Compressible squeeze film thrust bearings (in Portuguese). PhD thesis, Instituto Superior T\u00e9cnico, Lisboa, 1992."},{"key":"bibr18-135065003765714908","doi-asserted-by":"publisher","DOI":"10.1115\/1.3636611"},{"volume-title":"Applied Numerical Methods with Personal Computers","year":"1988","author":"Constantinides A.","key":"bibr19-135065003765714908"}],"container-title":["Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1243\/135065003765714908","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1243\/135065003765714908","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,3,3]],"date-time":"2025-03-03T17:14:17Z","timestamp":1741022057000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.1243\/135065003765714908"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,3,1]]},"references-count":19,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2003,3,1]]}},"alternative-id":["10.1243\/135065003765714908"],"URL":"https:\/\/doi.org\/10.1243\/135065003765714908","relation":{},"ISSN":["1350-6501","2041-305X"],"issn-type":[{"type":"print","value":"1350-6501"},{"type":"electronic","value":"2041-305X"}],"subject":[],"published":{"date-parts":[[2003,3,1]]}}}