Mesoscale SPH modeling of fluid flow in isotropic porous media

Jiang, Feifei; Oliveira, Mónica; Sousa, António C.M.

doi:10.1016/j.cpc.2006.12.003

Cited by 58 publications

(39 citation statements)

References 28 publications

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“…SPH is a purely Lagrangian method, and while largely used in violent situations such as wave impact, astronomical phenomena, and explosions, applications are also abundant in low speed dynamics, e.g. water transport in porous media, surface tension modeling, multi-phase flow, and diffusion, e.g [4,5,6,7,8,9]. Additionally, SPH can be applied in biological systems where one typically encounters non-Newtonian liquids, viscoelastic liquids, and in microscopic systems, thermal fluctuations [10,11,12].…”

Section: Introductionmentioning

confidence: 99%

Solving microscopic flow problems using Stokes equations in SPH

Liedekerke

Smeets

Odenthal

et al. 2013

Computer Physics Communications

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Starting from the Smoothed Particle Hydrodynamics method (SPH), we propose an alternative way to solve flow problems at a very low Reynolds number. The method is based on an explicit drop out of the inertial terms in the normal SPH equations, and solves the coupled system to find the velocities of the particles using the conjugate gradient method. The method will be called NSPH which refers to the non-inertial character of the equations. Whereas the time-step in standard SPH formulations for low Reynolds numbers is linearly restricted by the inverse of the viscosity and quadratically by the particle resolution, the stability of the NSPH solution benefits from a higher viscosity and is independent of the particle resolution. Since this method allows for a much higher time-step, it solves creeping flow problems with a high resolution and a long timescale up to three orders of magnitude faster than SPH. In this paper, we compare the accuracy and capabilities of the new NSPH method to canonical SPH solutions considering a number of standard problems in fluid dynamics. In addition, we show that NSPH is capable of modeling more complex physical phenomena such as the motion of a red blood cell in plasma.

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Section: Introductionmentioning

confidence: 99%

Solving microscopic flow problems using Stokes equations in SPH

Liedekerke

Smeets

Odenthal

et al. 2013

Computer Physics Communications

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“…The present work is a further extension of the study conducted by Jiang et al (2007) and its primary aim is twofold. The first goal is to construct a convenient but effective numerical model for the simulation of fluid flow in porous media of complicated pore structures.…”

Section: Introductionmentioning

confidence: 99%

“…In recent work, Jiang et al (2007) constructed a mesoscale SPH model for the fluid flow in isotropic porous media. The porous structure was resolved in a mesoscopic-level by randomly assigning a certain number of SPH particles to fixed locations.…”

Section: Introductionmentioning

confidence: 99%

Smoothed Particle Hydrodynamics Modeling of Transverse Flow in Randomly Aligned Fibrous Porous Media

Jiang¹,

Sousa²

2008

Transp Porous Med

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The Lagrangian smoothed particle hydrodynamics (SPH) method is employed to obtain a meso-/micro-scopic pore-scale insight into the transverse flow across the randomly aligned fibrous porous media in a 2D domain. Fluid is driven by an external body force, and a square domain with periodic boundary conditions imposed at both the streamwise and transverse flow direction is assumed. The porous matrix is established by randomly embedding a certain number of fibers in the square domain. Fibers are represented by position-fixed SPH particles, which exert viscous forces upon, and contribute to the density variations of, the nearby fluid particles. An additional repulsive force, similar in form to the 12-6 Lennard-Jones potential between atoms, is introduced to consider the no-penetrating restraint prescribed by the solid pore structure. This force is initiated from the fixed solid material particle and may act on its neighboring moving fluid particles. Fluid flow is visualized by plotting the local velocity vector field; the meandering fluid flow around the porous microstructures always follow the paths of least resistance. The simulated steady-state flow field is further used to calculate the macroscopic permeability. The dimensionless permeability (normalized by the squared characteristic dimension of the fiber cross section) exhibits an exponential dependence on the porosity within the intermediate porosity range, and the derived dimensionless permeability-porosity relation is found to have only minor dependence on either the relative arrangement condition among fibers or the fiber cross section (shape or area).

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“…The SPH method has been used to model fluid flow in porous media [25][26][27], to simulate interfacial flows [28], mould filling [29] and fluid flow in high-pressure die casting [30]. The EFG method has been successfully implemented to simulate static and dynamic fractures [31,32], crack propagation [33,34], metal forming [35] and incompressible fluid flow [36].…”

Section: Introductionmentioning

confidence: 99%

Element‐free Galerkin method for thermosolutal convection and macrosegregation

Sajja

Felicelli

2009

Numerical Methods in Fluids

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SUMMARYIn the present work, the element-free Galerkin (EFG) method is applied to a continuum solidification model that calculates thermosolutal convection and macrosegregation during dendritic solidification of multicomponent alloys. Simulations for directional solidification of a binary Pb-Sn alloy and a Ni-base quaternary alloy have been performed in a rectangular two-dimensional domain. In both calculations, the alloy melt is cooled from below and the growth of the mushy zone is followed in time. The formation of macrosegregation defects known as 'freckles' has been successfully simulated using the meshless EFG method. A varying degree of sensitivity of results to the number and distribution of meshfree particles was obtained. The potential of the method for a broader range of solidification models is discussed.

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Mesoscale SPH modeling of fluid flow in isotropic porous media

Cited by 58 publications

References 28 publications

Solving microscopic flow problems using Stokes equations in SPH

Solving microscopic flow problems using Stokes equations in SPH

Smoothed Particle Hydrodynamics Modeling of Transverse Flow in Randomly Aligned Fibrous Porous Media

Element‐free Galerkin method for thermosolutal convection and macrosegregation

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