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Ocean Systems Engineering
  Volume 12, Number 1, March 2022 , pages 063-86
DOI: https://doi.org/10.12989/ose.2022.12.1.063
 

An enhanced incompressible SPH method for simulation of fluid flow interactions with saturated/unsaturated porous media of variable porosity
Yuma Shimizu, Abbas Khayyer and Hitoshi Gotoh

 
Abstract
    refined projection-based purely Lagrangian meshfree method is presented towards reliable numerical analysis of fluid flow interactions with saturated/unsaturated porous media of uniform/spatially-varying porosities. The governing equations are reformulated on the basis of two-phase mixture theory with incorporation of volume fraction. These principal equations of mixture are discretized in the context of Incompressible SPH (Smoothed Particle Hydrodynamics) method. Associated with the consideration of governing equations of mixture, a new term arises in the source term of PPE (Poisson Pressure Equation), resulting in modified source term. The linear and nonlinear force terms are included in momentum equation to represent the resistance from porous media. Volume increase of fluid particles are taken into consideration on account of the presence of porous media, and hence multi-resolution ISPH framework is also incorporated. The stability and accuracy of the proposed method are thoroughly examined by reproducing several numerical examples including the interactions between fluid flow and saturated/unsaturated porous media of uniform/spatially-varying porosities. The method shows continuous pressure field, smooth variations of particle volumes and regular distributions of particles at the interface between fluid and porous media.
 
Key Words
    porous media; smoothed particle hydrodynamics; variable porosity; volume fraction
 
Address
Yuma Shimizu, Abbas Khayyer and Hitoshi Gotoh: Department of Civil and Earth Resources Engineering, Kyoto University,
Katsura Campus, Nishikyo-ku, Kyoto 615-8540, Japan
 

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