As a comparatively new computational method, SPH combines the advantages of meshfree, Lagrangian and particle methods. In Chapter 5, the basic concepts, smoothing function and consistency of the SPH have been addressed. Therefore, it can naturally handle problems with extremely large deformation: the most attractive feature of the SPH method… Because of this adaptation nature of the SPH approximation, the formulation of SPH is robust against the arbitrariness of the particle distribution. It has special advantages over the traditional grid-based numerical methods, and the most significant one is the adaptation nature of the SPH method: particle approximation is performed using particles in the local smoothing domain that may change with time. As a meshfree, Lagrangian, particle method, SPH has some particular features. It uses particles to represent the problem domain and to act as the computational frame for field variable approximations. Different from the dissipative particle dynamics (DPD), which is a meso-scale particle method, SPH is originally a macro-scale particle method, and has been extended to problems with different scales. In this chapter, the smoothed particle hydrodynamic (SPH) method is introduced. Readership: Undergraduates, graduates, researchers, and professionals studying/dealing with fluid mechanics, numerical analysis and computational mathematics, engineering mechanics, ocean engineering, mechanical engineering. Smoothed Particle Hydrodynamics - Applications.Smoothed Particle Hydrodynamics - Methodology.Dissipative Particle Dynamics - Applications.Dissipative Particle Dynamics - Methodology.The presented methodologies, techniques and example applications will benefit students, researchers and professionals in computational engineering and sciences. This book covers the theoretical background, numerical techniques and many interesting applications of the particle methods discussed in this text, especially in: micro-fluidics and bio-fluidics (e.g., micro drop dynamics, movement and suspension of macro-molecules, cell deformation and migration) environmental and geophysical flows (e.g., saturated and unsaturated flows in porous media and fractures) and free surface flows with possible interacting solid objects (e.g., wave impact, liquid sloshing, water entry and exit, oil spill and boom movement). It contains different particle methods from atomistic scales to continuum scales, with emphasis on molecular dynamics (MD), dissipative particle dynamics (DPD) and smoothed particle hydrodynamics (SPH). Particle Methods for Multi-Scale and Multi-Physics systematically addresses some major particle methods for modeling multi-scale and multi-physical problems in engineering and sciences. Multi-scale and multi-physics modeling is useful and important for all areas in engineering and sciences.
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