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Kinetic Particles

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Deposition of δp h<br />

onto Finite Element grid<br />

• assume CGL-like form δp h<br />

=<br />

⎛<br />

⎜<br />

⎝<br />

⎞<br />

δp ⊥ 0 0<br />

0 δp ⊥ 0 ⎟<br />

⎠<br />

0 0 δp ‖<br />

• evaluate pressure moment at a position x is<br />

δp ⊥ (x) =<br />

∫ 1<br />

2 mv2 ⊥δf(x,v)d 3 v<br />

=<br />

N∑<br />

i=1<br />

1<br />

2 mv2 i⊥g 0 w i δ 3 (x − x i )<br />

where sum is over the particles, m mass of the particle, g 0 w i is the<br />

perturbed phase density

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