Numerical Methods for Multi-phase Flow in Curvilinear Coordinate Systems

  • Nikolay Ivanov KolevEmail author


This chapter presents a numerical solution method for multi-phase flow analysis based on local volume and time averaged conservation equations. The emphasis of this development was to create a computer code architecture that absorb all the constitutive physics and functionality from the past 25years development of the three fluid multi-component IVA-entropy concept for multi-phase flows into a boundary fitted orthogonal coordinate framework. Collocated discretization for the momentum equations is used followed by weighted averaging for the staggered grids resulting in analytical expressions for the normal velocities. Using the entropy concept analytical reduction to a pressure-velocity coupling is found. The performance of the method is demonstrated by comparison of two cases for which experimental results and numerical solution with the previous method are available. The agreement demonstrates the success of this development.


Mass Conservation Equation Curvilinear Coordinate System Regular Topology Constrain Interpolation Profile Contravariant Vector 
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© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.MöhrendorferstrHerzogenaurachGermany

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