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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

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