A finite element/Monte–Carlo method for polymer dilute solutions |
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Authors: | John Bonvin Marco Picasso |
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Affiliation: | (1) Département de Mathématiques, école Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland (e-mail: marco.picasso@epfl.ch), CH |
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Abstract: | A finite element/Monte–Carlo method is proposed for solving the flow of a polymer dilute solution. The mass and momentum equations
are supplemented with stochastic differential equations which model the dynamics of the polymer chains. Finite elements and
a Monte–Carlo method are used to solve the problem. A theoretical analysis is performed on a simplified, deterministic, Oldroyd-B
problem. Numerical results are compared to experimental ones.
Received: 22 December 2000 / Accepted: 30 May 2001 |
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