Abstract
SummaryAn incompressible smoothed particle hydrodynamics (ISPH) method is developed for the modeling of multiphase Newtonian and inelastic non‐Newtonian flows at low density ratios. This new method is the multiphase extension of Xenakis et al, J. Non‐Newtonian Fluid Mech., 218, 1‐15, which has been shown to be stable and accurate, with a virtually noise‐free pressure field for single‐phase non‐Newtonian flows. For the validation of the method a semi‐analytical solution of a two‐phase Newtonian/non‐Newtonian (inelastic) Poiseuille flow is derived. The developed method is also compared with the benchmark multiphase case of the Rayleigh Taylor instability and a submarine landslide, thereby demonstrating capability in both Newtonian/Newtonian and Newtonian/non‐Newtonian two‐phase applications. Comparisons with analytical solutions, experimental and previously published results are conducted and show that the proposed methodology can accurately predict the free‐surface and interface profiles of complex incompressible multi‐phase flows at low‐density ratios relevant, for example, to geophysical environmental applications.
Published Version
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