Navier-Stokes方程SPH的公式解法

SPH formula solution of the Navier-Stokes equation

Navier-Stokes方程(简称N-S方程)是描述流体运动的基本方程,现已有多种不同的数值求解方法。文中提出一种求解N-S方程的无网格方法:光滑粒子流体动力学(SPH,Smoothed Particle Hydrodynamic)方法,该方法是应用SPH近似法(核近似和粒子近似)将N-S运动方程离散化为SPH方程的形式,有利于求解N-S方程。

Navier-Stokes equation （abbreviation N-S equation） is the basic equation which describes fluid motion and now it has already had a variety of different numerical methods. This paper presents a meshless method to solve N-S equation： smoothed particle fluid dynamics （SPH, Smoothed Particle Hydrodynamics） method. This method discretizes N-S equation of motion into SPH equation by using SPH approximation （kernel approximation and particle approximation）and it is more beneficial to solve the N-S equation.