A Numerical Technique for Solving the Maxwell Model for Free Surface Flows

Authors

  • D.M. Carvalho
  • M.F. Tomé
  • J.A. Cuminato
  • A. Castelo
  • V.G. Ferreira

DOI:

https://doi.org/10.5540/tema.2004.05.02.0195

Abstract

This work is concerned with the development of a numerical technique for solving free surface flows of a Maxwell fluid. The governing equations for the flow of a Maxwell type fluid together with appropriate boundary conditions are given. The free surface stress conditions are treated in details. A novel formulation for calculating the extra stress components on rigid boundaries is given. The numerical technique presented in this work employs the finite difference method on a staggered grid and employs the ideas of the MAC (Marker-and-Cell) method. Numerical results demonstrating that this numerical technique can solve viscoelastic flows governed by the Maxwell model are presented. Moreover, validation results are presented.

References

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M.F. Tomé, N. Mangiavacchi, J.A. Cuminato, A. Castelo and S. Mckee, A finite difference technique for simulating unsteady viscoelastic free surface flows, J. Non-Newtonian Fluid Mech, 106 (2002), 61-106.

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Published

2004-06-01

How to Cite

Carvalho, D., Tomé, M., Cuminato, J., Castelo, A., & Ferreira, V. (2004). A Numerical Technique for Solving the Maxwell Model for Free Surface Flows. Trends in Computational and Applied Mathematics, 5(2), 195–204. https://doi.org/10.5540/tema.2004.05.02.0195

Issue

Vol. 5 No. 2 (2004)

Section

Original Article

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