<p>A novel hybrid method for modeling the deformation of granular media in conjunction with the fluid flow has been presented in the current study. While the fluid is simulated through a full-scale Lagrangian framework (Incompressible Smoothed Particle Hydrodynamics), the granular counterpart is modeled through an Eulerian approach (Multilayered Shallow Water Equations). Rapid fluctuation of free surface and velocity are well captured by the full-scale fluid module, whereas various critical stages of granular flow (such as flow initiation and stopping) are reproduced through a layered form of <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mu (I)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>μ</mi> <mo stretchy="false">(</mo> <mi>I</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> rheology. The two subsystems are coupled through the drag and the fluid stress tensor by an efficient interphase information transfer. The capability of the coupled formulation is tested for varying configurations of initial conditions and material properties, such as dam-break-induced erosion, subaerial landslide-induced tsunamis, and slow granular column collapse experiments in a reservoir. The proposed framework offers a frugal alternative to the existing full-scale coupled/mixture models with reasonably accurate results.</p>

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Coupled ISPH-MFVM modeling of incompressible fluid–immiscible granular flow interaction

  • Naveed Ul Hassan Bhat,
  • Gourabananda Pahar

摘要

A novel hybrid method for modeling the deformation of granular media in conjunction with the fluid flow has been presented in the current study. While the fluid is simulated through a full-scale Lagrangian framework (Incompressible Smoothed Particle Hydrodynamics), the granular counterpart is modeled through an Eulerian approach (Multilayered Shallow Water Equations). Rapid fluctuation of free surface and velocity are well captured by the full-scale fluid module, whereas various critical stages of granular flow (such as flow initiation and stopping) are reproduced through a layered form of \(\mu (I)\) μ ( I ) rheology. The two subsystems are coupled through the drag and the fluid stress tensor by an efficient interphase information transfer. The capability of the coupled formulation is tested for varying configurations of initial conditions and material properties, such as dam-break-induced erosion, subaerial landslide-induced tsunamis, and slow granular column collapse experiments in a reservoir. The proposed framework offers a frugal alternative to the existing full-scale coupled/mixture models with reasonably accurate results.