DEVELOPMENTS AND APPLICATIONS OF SMOOTHED PARTICLE HYDRODYNAMICS
Moubin Liu, Zhi Zong, Chang Jian-Zhong
Abstract
Moubin Liu, Zhi Zong, Chang Jian-Zhong
Abstract
Smoothed particle hydrodynamics(SPH) is a Lagrangian meshfree particle method,and has been widely applied to different areas in engineering and science.SPH method uses a set of particles to discretize the computational domain and to represent the state of the system being modeled,and approximates the governing equations based on the set of particles.This paper provides an overview on the development,numerical aspects,and applications of the SPH method.The basic concepts,consistency,boundary treatment,stability and computational efficiency of the SPH method have been discussed.Applications of the SPH method to compressible and incompressible fluid flows as well as to rapid deformation and failure of elastic-plastic materials have been addressed.Finally the paper concludes with remarks of the merits and defects of the SPH methods, and with some predictions of numerical method development and application areas.
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Smoothed particle hydrodynamics(SPH) is a Lagrangian meshfree particle method,and has been widely applied to different areas in engineering and science.SPH method uses a set of particles to discretize the computational domain and to represent the state of the system being modeled,and approximates the governing equations based on the set of particles.This paper provides an overview on the development,numerical aspects,and applications of the SPH method.The basic concepts,consistency,boundary treatment,stability and computational efficiency of the SPH method have been discussed.Applications of the SPH method to compressible and incompressible fluid flows as well as to rapid deformation and failure of elastic-plastic materials have been addressed.Finally the paper concludes with remarks of the merits and defects of the SPH methods, and with some predictions of numerical method development and application areas.
Key concepts: Smoothed-particle hydrodynamics, Discretization, Compressibility, Particle method, Computer science, Consistency (knowledge bases), Stability (learning theory), Numerical analysis