On the Density-Enthalpy Method for the 2D Darcy Flow

D. Ibrahim (), F. J. Vermolen () and C. Vuik ()
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D. Ibrahim: Delft University of Technology, Delft Institute of Applied Mathematics
F. J. Vermolen: Delft University of Technology, Delft Institute of Applied Mathematics
C. Vuik: Delft University of Technology, Delft Institute of Applied Mathematics

A chapter in Numerical Mathematics and Advanced Applications 2011, 2013, pp 519-527 from Springer

Abstract: Abstract The new approach, called the density-enthalpy method, has certain advantages over the tradition methods for solving multi-phase flow problems. The system is modeled by the mass and energy conservation, Darcy’s law, and other thermodynamic relations. It is solved by using the standard Galerkin algorithm for spatial discretization, backward Euler for time integration, and Newton-Raphson iteration for linearization. In this paper, the main objective is to study the effect of gravity on Darcy flow.

Keywords: Isolate System; Spatial Discretization; Solution Variable; Homogeneous Porous Medium; Darcy Flow (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-3-642-33134-3_55

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