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On Smoothed Particle Hydrodynamics Method and its Application

Yao Chen Yan

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Abstract

The smoothed particle hydrodynamics(SPH) method is one of the most important branches of the meshless methods which are being developed and applied extensively,recently.It is a new and pure Lagrangian method.In this paper,the fundamental theory of SPH,the conservation equation of continuum mechanics,and the improvement of stability are introduced.Then boundary condition is emphasized.The example using SPH method is presented.Finally,the latest advances of the SPH is described and outlined.

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What this paper is about

The smoothed particle hydrodynamics(SPH) method is one of the most important branches of the meshless methods which are being developed and applied extensively,recently.It is a new and pure Lagrangian method.In this paper,the fundamental theory of SPH,the conservation equation of continuum mechanics,and the improvement of stability are introduced.Then boundary condition is emphasized.The example using SPH method is presented.Finally,the latest advances of the SPH is described and outlined.

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Available abstract

The smoothed particle hydrodynamics(SPH) method is one of the most important branches of the meshless methods which are being developed and applied extensively,recently.It is a new and pure Lagrangian method.In this paper,the fundamental theory of SPH,the conservation equation of continuum mechanics,and the improvement of stability are introduced.Then boundary condition is emphasized.The example using SPH method is presented.Finally,the latest advances of the SPH is described and outlined.

Key concepts: Smoothed-particle hydrodynamics, Lagrangian, Meshfree methods, Particle method, Boundary value problem, Continuum mechanics, Classical mechanics, Stability (learning theory)

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