Modeling free-surface flow in porous media with modified incompressible SPH

Pahar, Gourabananda; Dhar, Anirban

doi:10.1016/j.enganabound.2016.04.001

Cited by 47 publications

(14 citation statements)

References 46 publications

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“…A constraint similar to Constraint 1 is not required to be imposed on the size of the support of the kernel function r Υ , since in the macroscopic description of the porous media, the domain is considered as a single phase continuum. Equations (8) and (9) are called the SPH-averaged macroscopic (SPHAM) equations of mass and momentum, respectively, and G * is called the porosity and will be replaced with in the following equations. These equations are defined in a unified framework, ie, they describe the fluid motion over the entire computational domain including both the porous and free-flow regions.…”

Section: The Spham Equationsmentioning

confidence: 99%

“…Regarding the interfacial boundary treatment, they applied a transitional interface layer that is similar to the treatment of Akbari and Namin but with the thickness of the layer being set to one mean diameter of the solid particles of porous medium. Pahar and Dhar developed ISPH models to simulate the interaction of flows with porous media. The interfacial boundary conditions were implicitly implemented by representing the Darcy velocity in the governing equations and incorporating the porosity parameter into the pressure Poisson equation (PPE).…”

Section: Introductionmentioning

confidence: 99%

“…The effective viscosity in free‐flow region was calculated as the summation of the SPS eddy viscosity and the actual fluid viscosity, while inside the porous media, the effective viscosity was set equal to actual viscosity of the fluid only. To alleviate the discontinuity of viscosity at the interfacial boundary, the fluid part of the viscosity of free‐flow region and the viscosity of the fluid in the porous media were averaged . Moreover, due to the change of porosity, they arbitrarily adopted a concept of a nonconstant smoothing length in the formulation .…”

Section: Introductionmentioning

confidence: 99%

“…To alleviate the discontinuity of viscosity at the interfacial boundary, the fluid part of the viscosity of free-flow region and the viscosity of the fluid in the porous media were averaged. 9 Moreover, due to the change of porosity, they arbitrarily adopted a concept of a nonconstant smoothing length in the formulation. 10 Recently, Khayyer et al 11 developed an enhanced ISPH model based on two-phase mixture theory to simulate the interaction of waves with porous media of variable porosity.…”

Section: Introductionmentioning

confidence: 99%

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SPH‐based numerical treatment of the interfacial interaction of flow with porous media

Kazemi

Tait

Shao

2019

Numerical Methods in Fluids

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Summary In this paper, the macroscopic equations of mass and momentum are developed and discretized based on the smoothed particle hydrodynamics (SPH) formulation for the interaction at an interface of flow with porous media. The theoretical background of flow through porous media is investigated to highlight the key constraints that should be satisfied, particularly at the interface between the porous media flow and the overlying free flow. The study aims to investigate the derivation of the porous flow equations, computation of the porosity, and treatment of the interfacial boundary layer. It addresses weak assumptions that are commonly adopted for interfacial flow simulation in particle‐based methods. As support to the theoretical analysis, a two‐dimensional weakly compressible SPH model is developed based on the proposed interfacial treatment. The equations in this model are written in terms of the intrinsic averages and in the Lagrangian form. The effect of particle volume change due to the spatial change of porosity is taken into account, and the extra stress terms in the momentum equation are approximated by using Ergun's equation and the subparticle scale model to represent the drag and turbulence effects, respectively. Four benchmark test cases covering a range of flow scenarios are simulated to examine the influence of the porous boundary on the internal, interface, and external flows. The capacity of the modified SPH model to predict velocity distributions and water surface behavior is fully examined with a focus on the flow conditions at the interfacial boundary between the overlying free flow and the underlying porous media.

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Section: The Spham Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

SPH‐based numerical treatment of the interfacial interaction of flow with porous media

Kazemi

Tait

Shao

2019

Numerical Methods in Fluids

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“…Earlier research indicated that Darcy's equation is empirically derived to describe the macroscopic characteristics of flow in porous medium (Alazmi & Vafai, 2001;Lage, 1998;Pokrajac, Manes, & McEwan, 2007;Whitaker, 1986;Zeng & Grigg, 2006), which established a relationship between mean porous flow velocity and the pressure gradient in the porous medium. There are several researches using a mesh-free particle method to include the Darcy velocity in the source term in the flow equation to study the interface of fluid and porous structures using SPH model (Gui, Dong, Shao, & Chen, 2015;Pahar & Dhar, 2016) and describe the wetting phenomena on the pore scale (Kunz et al, 2016). As the velocity increases, Darcy's law will overestimate the porous velocity (Chan et al, 2007;Ochoa-Tapia & Whitaker, 1995;Pedras & de Lemos, 2001).…”

Section: Introductionmentioning

confidence: 99%

Macroscopic particle method for channel flow over porous bed

Jin

2017

Engineering Applications of Computational Fluid Mechanics

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This paper presents a new macroscopic mesh-free particle method in which Darcy's and Forchheimer's terms are introduced into the governing equation to ensure the capacity of the particle method in simulating laminar and turbulent porous medium flows. A developed interfacial condition and inflow boundary condition are implemented in the macroscopic particle method to improve the stability of the Particle-based model. The comparisons of channel flow over and within porous bed among the present method, previous mesh-based method, and experimental data show that the macroscopic particle method is capable of simulating flows in both the clear flow region and porous flow region. Finally, two cases of flow over a rigid box and a cylinder lying on porous bed are simulated, and the numerical results are in good agreement with the measured data. The analysis and comparisons indicate that the newly developed particle-based method is reliable and has been successfully extended to macroscopic porous medium simulation. ARTICLE HISTORY

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Modified incompressible smooth particle hydrodynamics in porous media method for modeling the damping of a waves train on an inclined porous structure

Ortega

Beaudoin

2021

Numerical Methods in Fluids

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In this work, the ISPHP method proposed by Akbari and Namin in 2013 has been modified by implementing the Taylor expansion of a classical smoothing function. The modified ISPHP method with the Taylor expansion of the smoothing function, the optimization of the solving of Poisson's equation and the wave maker, has been used to simulate the damping of a waves train on an inclined porous structure. The comparison between the numerical results obtained with the modified ISPHP method and the experimental data obtained by Carrasco et al. in 2020 has shown on the one hand that the modified ISPHP method could be used to study the damping of a waves train on an inclined porous structure and on the other hand that the dimensionless number χ could be used to characterize the energy transformations of the interaction of a waves train and an inclined porous structure.

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Modeling free-surface flow in porous media with modified incompressible SPH

Cited by 47 publications

References 46 publications

SPH‐based numerical treatment of the interfacial interaction of flow with porous media

SPH‐based numerical treatment of the interfacial interaction of flow with porous media

Macroscopic particle method for channel flow over porous bed

Modified incompressible smooth particle hydrodynamics in porous media method for modeling the damping of a waves train on an inclined porous structure

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