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Application of the numerical density-enthalpy method to the multi-phase flow through a porous medium
Author(s) -
Ibrahim,
F.J. Vermolen,
C. Vuik
Publication year - 2010
Publication title -
procedia computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.334
H-Index - 76
ISSN - 1877-0509
DOI - 10.1016/j.procs.2010.04.084
Subject(s) - computer science , discretization , enthalpy , porous medium , parametric statistics , mathematics , flow (mathematics) , simple (philosophy) , mathematical optimization , fluid dynamics , phase (matter) , thermodynamics , algorithm , mechanics , porosity , materials science , mathematical analysis , physics , statistics , composite material , philosophy , epistemology , quantum mechanics
In this paper we apply a new method to solve multi-phase fluid flow problem for 1D and 2D fluid systems. This method is developed at TNO and presented in [1] for spatially homogeneous systems. We call this method the numerical density-enthalpy method (or ρ-h method) because density-enthalpy phase diagrams (or ρ-h diagrams) play an important role in it. Finite elements are used for spatial discretization along with the streamline upwind PetrovGalerkin method. In contrast to conventional methods, the ρ-h method eliminates the requirement of separate sets of equations for various phases and necessitates fewer parametric assumptions. Therefore, it is aimed at a simple formulation and at an increase of efficiency

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