Truncation error in SPH
Truncation error in SPH
Truncation error in SPH
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Results – uniform particle spac<strong>in</strong>g<br />
s<strong>in</strong>usoidal test<br />
function A(x),<br />
wavelength λ<br />
10 th order<br />
polynomial<br />
kernel, β=4<br />
non-dimensionalised L 2 norm <strong>error</strong><br />
First <strong>SPH</strong>ERIC Workshop, Rome, 2006<br />
10 0<br />
10 -1<br />
10 -2<br />
10 -3<br />
10 -4<br />
10 -5<br />
10 -6<br />
h/λ=<br />
0.2239<br />
0.0111<br />
0.0018<br />
10 -1<br />
Δx/h<br />
(b)<br />
analysis<br />
computation<br />
1<br />
6<br />
10 0