Truncation error in SPH
Truncation error in SPH
Truncation error in SPH
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Results – uniform particle spac<strong>in</strong>g, 1D<br />
s<strong>in</strong>usoidal test<br />
function A(x),<br />
wavelength λ<br />
10th 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 2<br />
10 0<br />
10 -2<br />
10 -4<br />
10 -6<br />
10 -4<br />
Δx/h=<br />
4/3<br />
0.9<br />
4/7<br />
0.5<br />
0.3<br />
4/19<br />
4/21<br />
0.1<br />
10 -3<br />
analysis, Δx/h=4/(2n+1)<br />
computation, Δx/h=4/(2n+1)<br />
computation, Δx/h≠4/(2n+1)<br />
10 -2<br />
h/λ<br />
(a)<br />
10 -1<br />
1<br />
2<br />
10 0
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