Truncation error in SPH
Truncation error in SPH
Truncation error in SPH
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Conclusions<br />
Error depends on<br />
• h (smooth<strong>in</strong>g length) – second order<br />
• Δx/h ∝ (number of neighbours) –1 – dependent on kernel smoothness<br />
<strong>SPH</strong> estimates do not necessarily converge with h<br />
Optimal number of neighbours depends on smooth<strong>in</strong>g length<br />
Non-uniform spac<strong>in</strong>g can cause divergence of standard <strong>SPH</strong> as h is<br />
reduced<br />
Consistency-corrected kernels ensure convergence<br />
First <strong>SPH</strong>ERIC Workshop, Rome, 2006
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