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

Journal Article · Tue Apr 01 04:00:00 EST 1997 · Journal of Computational Physics

DOI:https://doi.org/10.1006/jcph.1996.5571· OSTI ID:535406

Boomkamp, P A.M. ^[1]; Miesen, R H.M.; Beijnon, G V ^[2]

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1. Shell Research and Technology Centre, Amsterdam (Netherlands)
2. Shell Research and Technology Centre, Amsterdam (Netherlands); and others

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 {open_quotes}standard{close_quotes} 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. 27 refs., 6 figs., 2 tabs.

• OSTI ID: 535406
• Journal Information: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 2 Vol. 132; ISSN 0021-9991; ISSN JCTPAH
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
66 PHYSICS
99 GENERAL AND MISCELLANEOUS
ALGORITHMS
FLOW MODELS
NUMERICAL SOLUTION
STABILITY
TWO-PHASE FLOW