Calculation of the critical Stokes number for wide-stream impaction of potential flow over symmetric arc-nosed collectors.
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Characterization of the speed of a two-phase interface in a porous medium.
Abbassi, Adil, Namah, Gawtum (2005)
Mathematical Problems in Engineering
Clustering layers and boundary layers in spatially inhomogeneous phase transition problems
Kimie Nakashima, Kazunaga Tanaka (2003)
Annales de l'I.H.P. Analyse non linéaire
Compressible two-phase flows by central and upwind schemes
Smadar Karni, Eduard Kirr, Alexander Kurganov, Guergana Petrova (2004)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
This paper concerns numerical methods for two-phase flows. The governing equations are the compressible 2-velocity, 2-pressure flow model. Pressure and velocity relaxation are included as source terms. Results obtained by a Godunov-type central scheme and a Roe-type upwind scheme are presented. Issues of preservation of pressure equilibrium, and positivity of the partial densities are addressed.
Compressible two-phase flows by central and upwind schemes
Smadar Karni, Eduard Kirr, Alexander Kurganov, Guergana Petrova (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
This paper concerns numerical methods for two-phase flows. The governing equations are the compressible 2-velocity, 2-pressure flow model. Pressure and velocity relaxation are included as source terms. Results obtained by a Godunov-type central scheme and a Roe-type upwind scheme are presented. Issues of preservation of pressure equilibrium, and positivity of the partial densities are addressed.
Continuous-time finite element analysis of multiphase flow in groundwater hydrology
Zhangxin Chen, Magne Espedal, Richard E. Ewing (1995)
Applications of Mathematics
A nonlinear differential system for describing an air-water system in groundwater hydrology is given. The system is written in a fractional flow formulation, i.e., in terms of a saturation and a global pressure. A continuous-time version of the finite element method is developed and analyzed for the approximation of the saturation and pressure. The saturation equation is treated by a Galerkin finite element method, while the pressure equation is treated by a mixed finite element method. The analysis...
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