This report analyzes a partitioned time stepping algorithm, meaning a non-iterative, domain decomposition method, which allows different time steps in the fluid region and the porous region for the fully evolutionary Stokes-Darcy problem. The method presented requires only one, uncoupled Stokes and Darcy sub-physics and sub-domain solve per time step. Under a time step restriction of the form 4...

In this article we investigate the numerical approximation of coupled Stokes and Darcy fluid flow equations in an axisymmetric domain. The fluid flow is assumed to be axisymmetric. Rewriting the problem in cylindrical coordinates reduces the 3-D problem to a problem in 2-D. This reduction to 2-D requires the numerical analysis to be studied in suitably weighted Hilbert spaces. In this setting w...

Abstract. In reservoir simulations, nearwell regions usually require finer space and time scales compared with the remaining of the reservoir domain. We present a domain decomposition algorithm for a two phase Darcy flow model coupling nearwell regions locally refined in space and time with a coarser reservoir discretization. The algorithm is based on an optimized Schwarz method using a full ov...

Gravity-driven flow of concentrated suspensions (solid volume fraction ϕ>0.50) of non-brownian spherical particles through a channel contraction at low Reynolds number is studied experimentally. The abrupt change in the flow area at the contraction forms distinct shear-rate regions having different fluid pressures, which are related to the concept of particle pressure. A model involving particl...

Numerical solutions using finite element methods are considered for transient flow in a porous medium coupled to free flow in embedded conduits. Such situations arise, for example, for groundwater flows in karst aquifers. The coupled flow is modeled by the Darcy equation in a porous medium and the Stokes equations in the conduit domain. On the interface between the matrix and conduit, Beavers–J...

The clarification on the collapse mechanism of a caisson breakwater has been an urgent task in order to reduce damages caused by next millennium tsunamis. In this study, piping destruction of a mound induced by seepage flow is taken into consideration solely. A stabilized ISPH method proposed by Asai (2012) is adopted with some modification associated with the extended Darcy law (Akbari 2013, 2...

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...

A numeriea! investigation for forced convection in a constant-temperaJure parallel pkue channel wilh porous cavity and block alternately emplaced on lhe bottom plaJe is presented in this work. The Brinkman-Forchheimer-extended Darcy mode~ whil:h accounts for the effects of impermeable boundary and inertia, is used to characterize the flow field inside the porous region. Solutions of Ihe coupled...

Peristaltic transport of a Casson fluid in a channel with permeable walls is investigated. Exact analytical solution of the flow quantities are developed under long wavelength and low Reynolds number assumptions. The effects of Darcy number and yield stress on the pumping characteristics are obtained and discussed. It is observed that for a given ∆P , the flux Q̄ decreases with increasing Darcy ...

Thermo-diffusion effect on free convection heat and mass transfer from a vertical surface embedded in a liquid saturated thermally stratified non Darcy porous medium has been analyzed using a local non-similar procedure. The wall temperature and concentration are constant and the medium is linearly stratified in the vertical direction with respect to the thermal conditions. The fluid flow, temp...