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An Improved Incompressible Smoothed Particle Hydrodynamics ...

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Chapter 4. ISPH Method Comparisons and Accuracy Study for ISPH_DFS<br />

e L2<br />

0.01<br />

0.001<br />

h/D<br />

Laplacian Schwaiger (2007)<br />

LapLacian Morris (1997)<br />

ideal first-order slope<br />

ideal second-order slope<br />

Figure 4.17: Convergence speed estimation for both Laplacian operators in<br />

[77] and in [99], based on the L2 error estimation of the horizontal velocity<br />

component,u, in Taylor-Green vortices with ISPH_DFS,Re = 1000,t = 10.0s.<br />

The smoothing length,h, is normalised by the square lengthD, whereD = 1.<br />

106<br />

0.01

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