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A multi-phase smoothed particle hydrodynamics (SPH) method for both macro-scopic and mesoscopic flows is proposed. Since the particle-averaged spatial derivative approximations are derived from a particle smoothing function in which the neighboring particles only contribute to the specific volume, while maintaining mass conservation, the new method handles(More)
An incompressible multi-phase SPH method is proposed. In this method, a fractional time-step method is introduced to enforce both the zero-density-variation condition and the velocity-divergence-free condition at each full time step. To obtain sharp density and viscosity discontinuities in an incompressible multi-phase flow a new multi-phase projection(More)
Keywords: Multi-fluid flow Compressible flow Riemann solver Roe approximation a b s t r a c t In this work, the HLLC Riemann solver, which is much more robust, simpler and faster than iterative Riemann solvers, is extended to obtain interface conditions in sharp-interface methods for compressible multi-fluid flows. For interactions with general equations of(More)
In this paper, a Lagrangian particle method is proposed for the simulation of multiphase flows with surfactant. The model is based on the multi-phase smoothed particle hydrodynamics (SPH) framework of Hu and Adams [1]. Surface-active agents (surfactants) are incorporated into our method by a scalar quantity describing the local concentration of molecules in(More)
A constant-density approach, which corrects intermediate density errors by adjusting the half-time-step velocity with exact projection, is proposed for the multi-phase SPH method developed in our previous work (J. Comput. Physics, 227:264-278, 2007). As no prescribed reference pressure is required, the present approach introduces smaller numerical viscosity(More)