Ocean Systems Engineering

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An enhanced incompressible SPH method for simulation of fluid flow interactions with saturated/unsaturated porous media of variable porosity

  • Shimizu, Yuma (Department of Civil and Earth Resources Engineering, Kyoto University) ;
  • Khayyer, Abbas (Department of Civil and Earth Resources Engineering, Kyoto University) ;
  • Gotoh, Hitoshi (Department of Civil and Earth Resources Engineering, Kyoto University)
  • Received : 2021.11.08
  • Accepted : 2022.02.17
  • Published : 2022.03.25
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Abstract

A 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.

Keywords

Acknowledgement

The research described in this paper was supported by Japan Society for the Promotion of Science (JSPS) KAKENHI Grants Number JP21K14250, JP21H01433, JP18K04368 and JP18H03796.

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