A Stabilized Incompressible SPH Method by Relaxing the Density Invariance Condition

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="139583.fig.0015a" src="https://static.hindawi.com/articles/jam/volume-2012/139583/figures/139583.fig.0015a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>Output value at ps<sub>1</sub></td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="139583.fig.0015b" src="https://static.hindawi.com/articles/jam/volume-2012/139583/figures/139583.fig.0015b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>Output value at ps<sub>3</sub></td></tr></table></td></tr><tr class="fig-image" id="c"><td><img alt="139583.fig.0015c" src="https://static.hindawi.com/articles/jam/volume-2012/139583/figures/139583.fig.0015c.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(c) </b>Output value at ps<sub>5</sub></td></tr></table></td></tr><tr class="fig-image" id="d"><td><img alt="139583.fig.0015d" src="https://static.hindawi.com/articles/jam/volume-2012/139583/figures/139583.fig.0015d.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(d) </b>Output value at ps<sub>7</sub></td></tr></table></td></tr></table>

<table>Time history of Pressure for 3D dam break at ps<sub>1</sub>, ps<sub>3</sub>, ps<sub>5</sub>, and ps<sub>7</sub>.</table>

Journal of Applied Mathematics

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Figure 15

Figure 15: A Stabilized Incompressible SPH Method by Relaxing the Density Invariance Condition 