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Mean Densities in Dynamic MathematicalTwo-phase Flow Models

J. Bonilla1, L.J. Yebra1, S. Dormido2

PSA-CIEMAT, Plataforma Solar de Almería - Centro de Investigaciones Energéticas, MedioAmbientales y Tecnológicas, 04200 Tabernas (Almería), Spain.
UNED, Universidad Nacional de Educación a Distancia, Escuela Técnica Superior de Ingeniería Informática, 28040, Madrid, Spain.

Computer Modeling in Engineering & Sciences 2010, 67(1), 13-38. https://doi.org/10.3970/cmes.2010.067.013

Abstract

This paper presents and discusses a mean densities method applied to a steam-water two-phase flow mathematical model which uses a finite volume method and a staggered grid for discretizing a rigid volume in control volumes, where the thermodynamic properties are calculated. This method is based on the concepts of uniform pressure among all the control volumes and mean density in each control volume, allowing smooth thermodynamic properties, hence avoiding discontinuity at phase boundaries. This method wipes out the chattering problem due to the continuous and differentiable modelling of density and its partial derivatives, which leads to faster simulations and increases the simulation performance.

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Bonilla, J., Yebra, L., Dormido, S. (2010). Mean Densities in Dynamic MathematicalTwo-phase Flow Models. CMES-Computer Modeling in Engineering & Sciences, 67(1), 13–38. https://doi.org/10.3970/cmes.2010.067.013



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