multi-beams simulation in pic1d hands-on section 4
Post on 14-Jan-2016
226 Views
Preview:
TRANSCRIPT
Multi-beams simulation in PIC1D
Hands-on section 4
Initialization in velocity of multi-beams
Lorentz distribution:
( ) ( )lorentz uniformp v dv p v dv
The density of probability is equal for any distribution:
2 2
1
( )
tan( ( 0.5)) .
vB
uniformD B
uniform B D
vdv P
v v v
v P v v
We can use this result to initialize v of particles and use some differentvb and vd to get multi-beams. Then we do similar things like hands-onsection 2.
1D Vlasov-Poisson equations
Equation of PIC weight
Flow chart of PIC1D
Push particles with the equation of motion
Set the initial conditions Mainly (x, v)
Gather particles into gridand calculate the electric
field E.
PIC method
Locate E into ever particle
t = t + dt
end
t = t (end)
Plot of 2 beams in phase space
Plot of 5 beams in phase space
top related