An Interactively Corrected Smoothed Particle Hydrodynamics (IC‐SPH) for Simulating Solute Transport in a Nonuniform Velocity Field

The Smoothed Particle Hydrodynamics (SPH) method is a Lagrangian approach that has been widely used to eliminate numerical dispersion for solving advection-dispersion equation (ADE) of groundwater solute transport under advection-dominated situations. It found accuracy SPH results severely deteriorated, when particles are irregularly distributed in model domain with heterogeneous hydraulic conductivity. To resolve this problem, we developed new called Interactively Corrected (IC-SPH), which an improved version the (C-SPH) method. IC-SPH uses interactively corrected kernel gradient construct concentration gradients solve ADE. This correction made each particle by using not only particle's neighbor within support but also domain. We evaluated performance two studies. One considers diffusive analytical solution, and other field For study, several experiments were conducted multiple sets different levels irregularity. indicate that, while more computationally expensive than C-SPH, produces accurate ADE solutions, converges faster solution. mathematically general, can be applied wide range problems require