A Chebyshev collocation method for solving two-phase flow stability problems


Boomkamp, P.A.M. and Boersma, B.J. and Miesen, R.H.M. and Beijnon, G.V. (1997) A Chebyshev collocation method for solving two-phase flow stability problems. Journal of Computational Physics, 132 (2). pp. 191-200. ISSN 0021-9991

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Abstract:This paper describes a Chebyshev collocation method for solving the eigenvalue problem that governs the stability of parallel two-phase flow. The method is based on the expansion of the eigenfunctions in terms of Chebyshev polynomials, point collocation, and the subsequent solution of the resulting generalized eigenvalue problem with the QZ-algorithm. We concentrate on the question how to handle difficulties that arise when these ¿standard¿ techniques are applied to the stability problem of a thin film of liquid that is sheared by a gas. After discussing this specific problem in detail, it is argued that the method of solution can readily be applied to other two-phase flow configurations as well.
Item Type:Article
Copyright:© 1997 Elsevier Science
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/32089
Official URL:https://doi.org/10.1006/jcph.1996.5571
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