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NUMERICAL SOLUTION OF TRANSIENT, FREE SURFACE PROBLEMS IN POROUS MEDIA

1996; Wiley; Volume: 39; Issue: 17 Linguagem: Inglês

10.1002/(sici)1097-0207(19960915)39

1097-0207

Vaughan R. Voller, Shengyun Peng, Y. F. Chen,

Advanced Numerical Analysis Techniques

International Journal for Numerical Methods in EngineeringVolume 39, Issue 17 p. 2889-2906 Research Article NUMERICAL SOLUTION OF TRANSIENT, FREE SURFACE PROBLEMS IN POROUS MEDIA V. R. VOLLER, Corresponding Author V. R. VOLLER St. Anthony Falls Laboratory, Department of Civil Engineering, University of Minnesota, Minneapolis, MN 55455, U.S.A.St. Anthony Falls Laboratory, Department of Civil Engineering, University of Minnesota, Minneapolis, MN 55455, U.S.A.Search for more papers by this authorS. PENG, S. PENG St. Anthony Falls Laboratory, Department of Civil Engineering, University of Minnesota, Minneapolis, MN 55455, U.S.A.Search for more papers by this authorY. F. CHEN, Y. F. CHEN St. Anthony Falls Laboratory, Department of Civil Engineering, University of Minnesota, Minneapolis, MN 55455, U.S.A.Search for more papers by this author V. R. VOLLER, Corresponding Author V. R. VOLLER St. Anthony Falls Laboratory, Department of Civil Engineering, University of Minnesota, Minneapolis, MN 55455, U.S.A.St. Anthony Falls Laboratory, Department of Civil Engineering, University of Minnesota, Minneapolis, MN 55455, U.S.A.Search for more papers by this authorS. PENG, S. PENG St. Anthony Falls Laboratory, Department of Civil Engineering, University of Minnesota, Minneapolis, MN 55455, U.S.A.Search for more papers by this authorY. F. CHEN, Y. F. CHEN St. Anthony Falls Laboratory, Department of Civil Engineering, University of Minnesota, Minneapolis, MN 55455, U.S.A.Search for more papers by this author First published: 15 September 1996 https://doi.org/10.1002/(SICI)1097-0207(19960915)39:17 3.0.CO;2-WCitations: 12AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat Abstract The focus of this paper is the development of numerical schemes for tracking the moving fluid surface during the filling of a porous medium (e.g., polymer injection into a porous mold cavity). Performing a mass balance calculation on an arbitrarily deforming control volume, leads to a general governing filling equation. From this equation, a general, fully time implicit, numerical scheme based on a finite volume space discretization is derived. Two numerical schemes are developed: (1) a fully deforming grid scheme, which explicitly tracks the location of the filling front, and (2) a fixed grid scheme, that employs an auxiliary variable to locate the front. The validity of the two schemes is demonstrated by solving a variety of one- and two-dimensional problems; both approaches provide predictions with similar accuracy and agree well with available analytical solutions. Citing Literature Volume39, Issue1715 September 1996Pages 2889-2906 RelatedInformation