نتایج جستجو برای: darcy equations

تعداد نتایج: 240204  

2013
Christian Waluga

We propose and analyze a hybrid discontinuous Galerkin method for the solution 10 of incompressible flow problems, which allows to deal with pure Stokes, pure Darcy, and 11 coupled Darcy-Stokes flow in a unified manner. The flexibility of the method is demonstrated 12 in numerical examples.

Journal: :International journal of physical research 2021

The flow of fluids with pressure-dependent viscosity in free-space and porous media is considered this study. interest to employ the physical model through a layer down an inclined plane order derive velocity expressions that can be used as entry conditions study two-dimensional flows channels. generalized equations Darcy, Forchheimer Brinkman are work. Â

Journal: :Complex Systems 1989
Paul Papatzacos

A cellular automaton model for the simulation of fluid flow in porous media is presented. A lattice and a set of rules are int roduced, such th at the flow equations in the continuum limit are formally the same as the equations for one-phase liquid flow in porous media. The model is valid in two as well as th ree dimensions. Numerical calculatio ns of some simple problems are presented and comp...

2013
Sen Wang Qihong Feng Xiaodong Han

Due to the long-term fluid-solid interactions in waterflooding, the tremendous variation of oil reservoir formation parameters will lead to the widespread evolution of preferential flow paths, thereby preventing the further enhancement of recovery efficiency because of unstable fingering and premature breakthrough. To improve oil recovery, the characterization of preferential flow paths is esse...

Journal: :Physics 2022

The present study investigates the effect of mass transpiration on heat absorption/generation, thermal radiation and chemical reaction in magnetohydrodynamics (MHD) Darcy–Forchheimer flow a Newtonian fluid at thermosolutal Marangoni boundary over porous medium. region consists H2O as base fractions TiO2–Ag nanoparticles. mathematical approach given here employs similarity transformation, order ...

2004
M. Rafiqul Islam M. Enamul Hossain

It is well known that reservoir simulation studies are very subjective and vary from simulator to simulator. While SPE benchmarking has helped accept differences in predicting petroleum reservoir performance, there has been no scientific explanation behind the variability that has frustrated many policy makers and operations managers and puzzled scientists and engineers. In a recent book by the...

Journal: :Mathematics and Computers in Simulation 2021

We consider a coupled PDE–ODE model governing the bacterial dynamics of anaerobic biodegradation household waste in landfill. The biological activity, represented with non linear system ordinary differential equations (ODE), takes place an unsaturated porous medium by Darcy law. transform initial into fully PDE where distribution is spatialized as reaction–diffusion equations. carry out mathema...

2013
Herbert Egger Christian Waluga

We propose and analyze a hybrid discontinuous Galerkin method for the solution of incompressible flow problems, which allows to deal with pure Stokes, pure Darcy, and coupled Darcy-Stokes flow in a unified manner. The flexibility of the method is demonstrated in numerical examples.

Journal: :Lecture Notes in Computer Science 2023

We consider a class of mathematical models describing multiphysics phenomena interacting through interfaces. On such interfaces, the traces fields lie (approximately) in range weighted sum two fractional differential operators. use rational function approximation to precondition first demonstrate robustness for ordinary functions given by sums exponents. Additionally, we present more realistic ...

Journal: :CoRR 2008
Anil N. Hirani K. B. Nakshatrala Jehanzeb Hameed Chaudhry

We derive a numerical method for Darcy flow, hence also for Poisson’s equation in first order form, based on discrete exterior calculus (DEC). Exterior calculus is a generalization of vector calculus to smooth manifolds and DEC is its discretization on simplicial complexes such as triangle and tetrahedral meshes. We start by rewriting the governing equations of Darcy flow using the language of ...

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