Macro-scale pseudo-particle modeling for particle-fluid systems

Pseudo-particle modeling (PPM) is a particle method (PM) proposed in 1996. Though it is effective for the simulation of microscopic particle-fluid sys tems, its application to practical systems is still limited by computationa l cost. In this note, we speed up the computation by using a combination of weighted averaging with finite difference techniques to upgrade the partic le interactions to a fluid element level, which conforms to the Navier-Stok es equation. The approach, abbreviated to MaPPM, is then applied to the pro blem of one-dimensional Poiseuille flow with a quantitative comparison to t he results of another related PM-smoothed particle hydrodynamics (SPH), whe re the accuracy and efficiency of MaPPM is found to be much better than tha t of SPH. Flows around a cylinder and multiple freely moving particles are also simulated with the new model, resulting in reasonable flow pattern and drag coefficient. The convergence and robustness of the algorithm prove pr omising.