scholarly journals Mass Conservative Domain Decomposition for Porous Media Flow

10.5772/38700 ◽  
2012 ◽  
Author(s):  
Jan M. ◽  
Eirik Keilegavlen ◽  
Andreas Sandvi
Keyword(s):  
Porous Media ◽  
Domain Decomposition ◽  
Porous Media Flow ◽  
Conservative Domain

Heterogeneous Domain Decomposition of Surface and Porous Media Flow

2011 ◽  
Author(s):  
Heiko Berninger ◽  
Ralf Kornhuber ◽  
Oliver Sander ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
...  
Keyword(s):  
Porous Media ◽  
Domain Decomposition ◽  
Porous Media Flow

Heterogeneous domain decomposition of surface and porous media flow

2012 ◽  
Author(s):  
Heiko Berninger ◽  
Ralf Kornhuber ◽  
Oliver Sander
Keyword(s):  
Porous Media ◽  
Domain Decomposition ◽  
Porous Media Flow

scholarly journals An OpenMP implementation of the MuMM solver for porous media flow problems

2020 ◽  
Vol 5 (6) ◽  
Author(s):  
Sérgio Felipe Ferreira Silva ◽  
Hanna Thaina Prates Arimatéia ◽  
Alexandre Santos Francisco ◽  
Weslley Luiz da Silva Assis
Keyword(s):  
Porous Media ◽  
Domain Decomposition ◽  
Iterative Procedure ◽  
Application Programming Interface ◽  
Heterogeneous Porous Media ◽  
Computational Effort ◽  
Multiscale Methods ◽  
Porous Media Flow ◽  
Flow Problems ◽  
Second Order Elliptic Problems

Multiscale methods are usually developed for solving second-order elliptic problems in which coefficients are of multiscale heterogeneous nature. The Multiscale Mixed Method (MuMM) was introduced aiming at the efficient and accurate approximation of large flow problems in highly heterogeneous porous media. In the MuMM numerical solver, first mixed multiscale basis functions are constructed, and next global domain decomposition iterations are performed to compute the discrete solution of the problems. However, this iterative procedure is a time-consuming step. In this paper, the authors improve the MuMM solver through the implementation of parallel computations in the step concerning the global iterative procedure. The parallel version of the solver employs the application programming interface Open Multi-Processing (OpenMP). The implementation with the OpenMP reduces significantly the computational effort to perform the domain decomposition iterations, as indicated by the numerical results.

Convective mixing in homogeneous porous media flow

2017 ◽  
Vol 2 (1) ◽  
Author(s):  
Jia-Hau Ching ◽  
Peilong Chen ◽  
Peichun Amy Tsai
Keyword(s):  
Porous Media ◽  
Porous Media Flow ◽  
Convective Mixing ◽  
Homogeneous Porous Media

Unsteady and porous media flow of reactive non-Newtonian fluids subjected to buoyancy and suction/injection

2015 ◽  
Vol 25 (7) ◽  
pp. 1682-1704 ◽  
Author(s):  
Tirivanhu Chinyoka ◽  
Daniel Oluwole Makinde
Keyword(s):  
Heat Transfer ◽  
Porous Media ◽  
Boundary Conditions ◽  
Flow Velocity ◽  
Flow System ◽  
Finite Difference Methods ◽  
Porous Media Flow ◽  
Convective Boundary Conditions ◽  
Convective Boundary ◽  
Content Type

Purpose – The purpose of this paper is to examine the unsteady pressure-driven flow of a reactive third-grade non-Newtonian fluid in a channel filled with a porous medium. The flow is subjected to buoyancy, suction/injection asymmetrical and convective boundary conditions. Design/methodology/approach – The authors assume that exothermic chemical reactions take place within the flow system and that the asymmetric convective heat exchange with the ambient at the surfaces follow Newton’s law of cooling. The authors also assume unidirectional suction injection flow of uniform strength across the channel. The flow system is modeled via coupled non-linear partial differential equations derived from conservation laws of physics. The flow velocity and temperature are obtained by solving the governing equations numerically using semi-implicit finite difference methods. Findings – The authors present the results graphically and draw qualitative and quantitative observations and conclusions with respect to various parameters embedded in the problem. In particular the authors make observations regarding the effects of bouyancy, convective boundary conditions, suction/injection, non-Newtonian character and reaction strength on the flow velocity, temperature, wall shear stress and wall heat transfer. Originality/value – The combined fluid dynamical, porous media and heat transfer effects investigated in this paper have to the authors’ knowledge not been studied. Such fluid dynamical problems find important application in petroleum recovery.

Porous media flow of poly(ethylene oxide)/sodium dodecyl sulfate mixtures

1999 ◽  
Vol 42 (1) ◽  
pp. 109-116 ◽  
Author(s):  
C. M. DaRocha ◽  
L. G. Patruyo ◽  
N. E. Ramírez ◽  
A. J. Müller ◽  
A. E. Sáez
Keyword(s):  
Porous Media ◽  
Sodium Dodecyl Sulfate ◽  
Ethylene Oxide ◽  
Sodium Dodecyl ◽  
Porous Media Flow ◽  
Dodecyl Sulfate ◽  
Poly Ethylene Oxide ◽  
Poly Ethylene
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