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 fatty deforming grid scheme, which explicitly tracks the location of the filling front, and (2) a fixed grid scheme, that employs in 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.
Original language | English (US) |
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Pages (from-to) | 2889-2906 |
Number of pages | 18 |
Journal | International Journal for Numerical Methods in Engineering |
Volume | 39 |
Issue number | 17 |
DOIs | |
State | Published - Jan 1 1996 |
Keywords
- Finite volume
- Free surface
- Mold filling
- Numerical method
- Polymer molding
- Porous media