A Three-Field Diffusion Model of Three-Phase, Three-Component Flow for the Transient Three-Dimensional Computer Code IVA2/001

Kolev, Nicolay Ivanov

doi:10.13182/nt87-a33990

Cited by 22 publications

(3 citation statements)

References 39 publications

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“…The first order donor cell discretized mass conservation equation ( It is advisable to compute the geometry coefficients, At this point the method used for computation of the field volumetric fractions in the computer codes IVA2 Kolev (1986, 1987, 1993, and IVA3 Kolev (1991) will be described. The method exploits the point Gauss-Seidel iteration assuming known velocity fields and thermal properties.…”

Section: Discretization Of the Mass Conservation Equationsmentioning

confidence: 99%

Numerical Solution Methods for Multi-phase Flow Problems

Kolev¹

2015

Multiphase Flow Dynamics 1

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A class of implicit numerical solution methods for multi-phase flow problems based on the entropy concept is presented in this work. First order donor-cellThis Chapter is an extended version of the theoretical part of the publication Kolev (1996). IntroductionNumerical methods for transient single-phase flow analysis are available and in widespread use for practical applications. Methods for cost-effective solution of multi-phase flow problems are still in their infancy. There is a significant experience base available for two-phase flows, e.g. gas/liquid and dispersed solid particles/gas flow for the special case of small concentrations in the dispersed phase. To my knowledge, there is no universal method for integrating systems of partial differential equations describing multi-phase flows. The purpose of this work is to present the methods derived for the computer codes IVA2 to IVA6 and to give a short description of the experience gained with these methods.

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Section: Discretization Of the Mass Conservation Equationsmentioning

confidence: 99%

Numerical Solution Methods for Multi-phase Flow Problems

Kolev¹

2015

Multiphase Flow Dynamics 1

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show abstract

“…The so called volume conservation equation (5.188) was already derived in [1] in 1986 and published in [2] in 1987: is the mixture density. It is very useful for designing numerical solution methods.…”

Section: The Volume Conservation Equationmentioning

confidence: 99%

“…It is very useful for designing numerical solution methods. We derive this equation for the transformed system following the same procedure as in Chapter 5 [1,2]. This means we start with the mass conservation for each velocity field, use the chain rule, divide by the field density and add the resulting field equations.…”

Section: The Volume Conservation Equationmentioning

confidence: 99%