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

In: Numerical Mathematics and Advanced Applications 2011

Author

Listed:
  • 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)

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.

Suggested Citation

  • D. Ibrahim & F. J. Vermolen & C. Vuik, 2013. "On the Density-Enthalpy Method for the 2D Darcy Flow," Springer Books, in: Andrea Cangiani & Ruslan L. Davidchack & Emmanuil Georgoulis & Alexander N. Gorban & Jeremy Levesley (ed.), Numerical Mathematics and Advanced Applications 2011, edition 127, pages 519-527, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-33134-3_55
    DOI: 10.1007/978-3-642-33134-3_55
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