The paper considers the non-linear stability of a non-hyperbolic system of conservation laws with both relaxation and diffusion, which is commonly used for the modeling of two-phase fluid flows. Global existence in time is proved for initial data with a sufficiently small H norm. This result heavily
Analysis of a non-hyperbolic system modelling two-phase fluid flows: the effects of surface tension
โ Scribed by Nabil Bedjaoui; Lionel Sainsaulieu
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 177 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0170-4214
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โฆ Synopsis
The paper considers a system of partial differential equations of convection dispersion type, modelling a stratified two-phase fluid flow. Local existence in time is proved for a sufficiently smooth initial data, given in the set of physically admissible states.
1998 B. G. Teubner Stuttgart-John Wiley & Sons, Ltd.
๐ SIMILAR VOLUMES
In this paper a numerical procedure for simulating two-uid ows is presented. This procedure is based on the Volume of Fluid (VOF) method proposed by Hirt and Nichols 1 and the Continuum Surface Force (CSF) model developed by Brackbill et al. 2 In the VOF method uids of di erent properties are identi