Original article: A semi-discrete central scheme for the approximation of two-phase flows in three space dimensions

Authors:
F. Pereira;A. Rahunanthan
Affiliations:
-;-
Venue:
Mathematics and Computers in Simulation
Year:
2011

Citing 8
Cited 2

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New high-resolution central schemes for nonlinear conservation laws and convection—diffusion equations

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Non-oscillatory central schemes for one- and two-dimensional MHD equations: I

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Nonoscillatory Central Schemes for One- and Two-Dimensional Magnetohydrodynamics Equations. II: High-Order SemiDiscrete Schemes

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Computational Methods for Multiphase Flows in Porous Media (Computational Science and Engineering 2)

Computational Methods for Multiphase Flows in Porous Media (Computational Science and Engineering 2)
Three-phase immiscible displacement in heterogeneous petroleum reservoirs

Mathematics and Computers in Simulation - Special issue: Applied and computational mathematics - selected papers of the fifth PanAmerican workshop - June 21-25, 2004, Tegucigalpa, Honduras
Efficient implementation of essentially non-oscillatory shock-capturing schemes, II

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Original article: Design and implementation of a multiscale mixed method based on a nonoverlapping domain decomposition procedure

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Original article: Rapid quantification of uncertainty in permeability and porosity of oil reservoirs for enabling predictive simulation

Mathematics and Computers in Simulation

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Abstract

Abstract: We present a new second-order (in space), semi-discrete, central scheme for the approximation of hyperbolic conservation laws in three space dimensions. The proposed scheme is applied to a model for two-phase, immiscible and incompressible displacement in heterogeneous porous media. Numerical simulations are presented to demonstrate its ability to approximate solutions of hyperbolic equations efficiently and accurately in petroleum reservoir simulations.