Smoothed Particle Hydrodynamics - AMD Developer Central
Smoothed Particle Hydrodynamics - AMD Developer Central
Smoothed Particle Hydrodynamics - AMD Developer Central
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<strong>Smoothed</strong> <strong>Particle</strong> <strong>Hydrodynamics</strong><br />
[Monaghan 1992] introduced smoothing kernels W<br />
( r)<br />
A(<br />
r)<br />
W(<br />
r r,<br />
h)<br />
dr<br />
A(<br />
r ) W(<br />
r r , h)<br />
Ai b b<br />
b<br />
<br />
<br />
And approximations to terms of the N-S equations<br />
<br />
<br />
j<br />
m W(<br />
r r , h)<br />
m – mass, r – position, h - radius<br />
i<br />
j<br />
p p p <br />
i i j<br />
m j W<br />
( r r<br />
2 2<br />
<br />
<br />
i j i<br />
j <br />
j<br />
, h)<br />
<br />
2 v j v i 2<br />
vi m <br />
j W ( r rj,<br />
h)<br />
<br />
<br />
i i<br />
j j <br />
12 | <strong>Smoothed</strong> <strong>Particle</strong> <strong>Hydrodynamics</strong> | November 2010<br />
j
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