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A Density Perturbation Method to Study the Eigenstructure of Two-Phase Flow Equation Systems

✍ Scribed by J. Cortes; A. Debussche; I. Toumi

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
251 KB
Volume
147
Category
Article
ISSN
0021-9991

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✦ Synopsis

Many interesting and challenging physical mechanisms are concerned with the mathematical notion of eigenstructure. In two-fluid models, complex phasic interactions yield a complex eigenstructure which may raise numerous problems in numerical simulations. In this paper, we develop a perturbation method to examine the eigenvalues and eigenvectors of two-fluid models. This original method, based on the stiffness of the density ratio, provides a convenient tool to study the relevance of pressure momentum interactions and allows us to get precise approximations of the whole flow eigendecomposition for minor requirements. Roe scheme is successfully implemented and some numerical tests are presented.

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