Kinetic Particles
Kinetic Particles
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