NUMERICAL SOLUTION OF TRANSIENT, FREE SURFACE PROBLEMS IN POROUS MEDIA

✍ Scribed by V. R. VOLLER; S. PENG; Y. F. CHEN

• Publisher: John Wiley and Sons
• Year: 1996
• Tongue: English
• Weight: 1007 KB
• Volume: 39
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/(sici)1097-0207(19960915)39:17<2889::aid-nme980>3.0.co;2-w

✦ Synopsis

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, fblly 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.