Truncation error in SPH
Truncation error in SPH
Truncation error in SPH
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3D <strong>SPH</strong><br />
Normally distributed<br />
random perturbation<br />
of standard<br />
deviation σ imposed<br />
on uniform particle<br />
distribution.<br />
s<strong>in</strong>usoidal test<br />
function,<br />
wavelength λ<br />
10 th order<br />
polynomial kernel,<br />
β=4<br />
non-dimensionalised L 2 norm <strong>error</strong><br />
10 0<br />
10 -1<br />
10 -2<br />
10 -3<br />
First <strong>SPH</strong>ERIC Workshop, Rome, 2006<br />
σ/Δx=0.2<br />
0.02<br />
0<br />
0.02<br />
0.2<br />
0.01 0.05<br />
h/λ<br />
(a)<br />
0.1<br />
1<br />
0<br />
1<br />
Δx/h=0.50<br />
Δx/h=0.98<br />
1<br />
2