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Computational Methods in Applied Mathematics

Editor-in-Chief: Carstensen, Carsten

Managing Editor: Matus, Piotr

4 Issues per year

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CiteScore 2017: 1.05

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Source Normalized Impact per Paper (SNIP) 2017: 0.893

Mathematical Citation Quotient (MCQ) 2017: 0.76

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Volume 4, Issue 2


On Modeling and Simulation of Different Regimes for Liquid Polymer Moulding

Raimondas Čiegis
Oleg Iliev
Stefan Rief
Konrad Steiner


In this paper we consider numerical algorithms for solving the system of nonlinear PDEs, arising in modeling of liquid polymer injection. We investigate the particular case where a porous preform is located within the mould, so that the liquid polymer is flowing through a porous medium during the filling stage. The nonlinearity of the governing system of PDEs is due to the non-Newtonian behavior of the polymer, as well as to the moving free boundary. The latter is related to the penetration front, and a Stefan type problem is formulated to take into account. A finite-volume method is used to approximate the given differential problem. Results from numerical experiments are presented. We also solve an inverse problem and present algorithms for determination of the absolute preform permeability coefficient for the case where the velocity of the penetration front is known from the measurements. In both considered cases (direct and inverse problems), we focus on the specificity related to the non-Newtonian behavior of the polymer. For completeness, we also discuss the Newtonian case. Results of some experimental measurements are presented and discussed.

Keywords: finite difference scheme; porous media; non-Newtonian liquids; discrete conservation; inverse problems

About the article

Received: 2004-06-17

Revised: 2004-07-16

Accepted: 2004-08-21

Published in Print:

Citation Information: Computational Methods in Applied Mathematics Comput. Methods Appl. Math., Volume 4, Issue 2, Pages 131–162, ISSN (Online) 1609-9389, ISSN (Print) 1609-4840, DOI: https://doi.org/10.2478/cmam-2004-0008.

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© Institute of Mathematics, NAS of Belarus. This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. BY-NC-ND 4.0

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