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Monday, 07/24: Writing a pm-code - AIP

Monday, 07/24: Writing a pm-code - AIP

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PM: main <strong>code</strong> blocks 21<br />

• Triangular Shaped Cloud (TSC):<br />

S(x) = 1<br />

∆x<br />

{<br />

1 − |x|/∆x, |x| < ∆x<br />

0, otherwise<br />

The fraction of particle’s mass assigned to a cell ijk is the shape function<br />

averaged over this cell:<br />

W (x p − x ijk ) =<br />

x ijk +∆x/2<br />

∫<br />

dx ′ S(x p − x ′ );<br />

x ijk −∆x/2<br />

W (r p − r ijk ) = W (x p − x ijk )W (y p − y ijk )W (z p − z ijk );<br />

The density in a cell ijk is then<br />

ρ ijk =<br />

N p<br />

∑<br />

p=1<br />

m p W (r p − r ijk )

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