![]() ![]() ![]() Some concluding remarks in SPH modeling of complex fluid flows are provided. In applications, different complex fluid flows, including biological flows, microfluidics and droplet dynamics, non-Newtonian fluid flows, free surface flows, multiphase flows, and flows with fluid-structure interaction, are reviewed. ![]() More importantly, the SPH method with ideas from the dissipative particle dynamics for complex fluids in macro- or meso-scales is discussed. The most famous applications of SPH in computational fluid mechanics is to simulate damp breaking problem, firstly conducted by Monaghan in 1994. Specifically, in methodology, some important issues including modified SPH particle approximation schemes for improving discretization accuracy, different particle regularization techniques, and various boundary treatment algorithms for solid boundary, free surface, or multiphase interface are described. In this paper, we review the recent developments of SPH in methodology and applications for modeling complex fluid flows. The first one, dealing with the fundamentals of Hydraulics, is based on the elementary principles of Lagrangian and Hamiltonian Mechanics. It comprises two parts that refer to each other. Smoothed particle hydrodynamics (SPH) is a meshfree Lagrangian particle method and has special advantages in modeling complex fluid flows, especially those with large fluid deformations, fluid-structure interactions, and multi-scale physics. This book presents the SPH method (Smoothed-Particle Hydrodynamics) for fluid modelling from a theoretical and applied viewpoint. Computer modeling of complex fluid flows usually presents great challenges for conventional grid-based numerical methods.
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