Comparison of upwind and characteristic schemes for solving multiphase diffusion-convection equation

  • Jali Pieskä University of Oulu
  • Erkki Laitinen University of Oulu

Abstract

In this paper the multiphase diffusion-convection problem is solved numerically by using upwind and characteristic schemes. Discretization for the schemes are performed by finite difference method. For solving the algebraic equations on every time level the modified S.O.R. method is used. In the numerical results computing time, number of iterations and accuracy of the schemes are analysed.

Keywords

References

[1] C.M. Elliot, J.R. Ockendon. Weak and Variational Methods for Moving Boundary Problems. Pitman, Boston, 1982.
[2] M.C. Flemings. Solidification Processing. McGraw- Hill, New York 1974.
[3] E. Laitinen, M. Rekkilä., M. Tolvanen. Control of steel solidification in continuous casting process. In: 9th CIMTEC - World Forum on New Materials Symposium, I - Computational Modelling and Simulation of Materials. Techna SrI., 487- 494, 1999
[4] E. Laitinen, A. Lapin. Semi-implicit mesh scheme and splitting iterative methods for the solution of continuous casting problem. Preprint, Dep. of Math. Sci., University of Oulu, Finland, pp. 19, March 1999.
[5] S. Louhenkilpi, E. Laitinen, R. Nieminen. Real-time simulation of heat transfer in continuous casting. Metall. Trans. B, 24: 685- 693, 1993.
Published
Apr 3, 2023
How to Cite
PIESKÄ, Jali; LAITINEN, Erkki. Comparison of upwind and characteristic schemes for solving multiphase diffusion-convection equation. Computer Assisted Methods in Engineering and Science, [S.l.], v. 7, n. 3, p. 421-426, apr. 2023. ISSN 2956-5839. Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/1246>. Date accessed: 29 nov. 2024.
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Issue
Vol 7 No 3 (2000)
Section
Articles
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