Journal ArticleDOI
Velocity weighting techniques for fluid displacement problems
TLDR
Etude des difficultes numeriques rencontrees for des deplacements de fluides miscible en milieu poreux and for des fluides non miscibles egalement in MILPoreux.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1987-10-01. It has received 5 citations till now. The article focuses on the topics: Displacement (fluid) & Multiphase flow.read more
Citations
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Journal ArticleDOI
Finite element techniques for convective-diffusive transport in porous media
TL;DR: In this paper, Petrov-Galerkin operator splitting is applied to convective-diffusive transport problems in porous media, where the convection is treated by applying a modified method of characteristics to time-step along the characteristics of the convective part of the flow.
Book ChapterDOI
Mathematical modeling and simulation for applications of fluid flow in porous media
TL;DR: The need for developing models to understand the fate and transport of groundwater contaminants and to design in situ remediation strategies is addressed.
Journal ArticleDOI
Multidisciplinary interactions in energy and environmental modeling
TL;DR: In this paper, the authors address the need for using similar models to understand the fate and transport of groundwater contaminants and to design in situ remediation strategies and discuss recent advances in each of these three areas.
Book ChapterDOI
Mathematical and Numerical Techniques in Energy and Environmental Modeling
Zhangxin Chen,Richard E. Ewing +1 more
TL;DR: In this article, the authors address the need for using similar models to understand the fate and transport of groundwater contaminants and to design in situ remediation strategies, and propose a model to predict, understand, and optimize many complex physical processes, from semiconductor or pharmaceutical design to large-scale applications such as global weather models.
References
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Journal ArticleDOI
The approximation of the pressure by a mixed method in the simulation of miscible displacement
TL;DR: A modification of the mixed method is proposed when the flow is located at sources and sinks (i.e., wells), and convergence is established at reduced rates in the special case when the viscosity of the mixture is independent of the concentration.
Journal ArticleDOI
Methods for Increased Accuracy in Numerical Reservoir Simulators
TL;DR: In this paper, the use of 2-point upstream weighting of fluid mobility is proposed as an alternative to the generally employed single-point approximation, which results in the reduction of both numerical dispersion of flood fronts and the sensitivity of predicted areal displacement performance to grid orientation.
Journal ArticleDOI
Numerical Calculation of Multidimensional Miscible Displacement by the Method of Characteristics
Journal ArticleDOI
Galerkin Methods for Miscible Displacement Problems in Porous Media
Richard E. Ewing,Mary F. Wheeler +1 more
TL;DR: A priori error estimates for Galerkin methods for numerical approximation of the coupled quasilinear system for $c = c(x,t) and $p = p(x-t)$ given by as mentioned in this paper.
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Approximate symmetrization and Petrov-Galerkin methods for diffusion-convection problems
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An adaptive characteristic Petrov-Galerkin finite element method for convection-dominated linear and nonlinear parabolic problems in two space variables
Leszek Demkowicz,J. T. Oden +1 more