What's the differnece between PIC method and Lagrangian particle?

steve lee · April 15, 2019, 04:30

Hi,

I wonder that the differnece between PIC(Particle-In-Cell) method and Lagrangian particle.

And.. I saw that PIC method called as semi lagrangian.

Is it the same word?

Thanks.

adrin · April 17, 2019, 14:06

Lagrangian particles follow their individual trajectories, at all times, based on their local flow conditions. PIC uses a background grid (cells) and particle positions are interpolated back onto the cells at each timestep following a Lagrangian convection. PIC is semi-Lagrangian because of the interpolation step.

adrin

FMDenaro · April 17, 2019, 14:22

If I remember correctly, PIC method is dated in the 50s, designed by Harlow at Los Alamos. Then some years later the idea was included in the MAC method.

The method have both a lagrangian update for the particle and a redistribution (interpolation) on a eulerian background grid for the state variables.

steve lee · April 21, 2019, 21:32

Thanks for your reply

April 15, 2019, 04:30	What's the differnece between PIC method and Lagrangian particle?	#1
steve lee Member Steve Join Date: Mar 2018 Location: South Korea Posts: 69 Rep Power: 8	Hi, I wonder that the differnece between PIC(Particle-In-Cell) method and Lagrangian particle. And.. I saw that PIC method called as semi lagrangian. Is it the same word? Thanks.

April 17, 2019, 14:06		#2
adrin Senior Member adrin Join Date: Mar 2009 Posts: 115 Rep Power: 17	Lagrangian particles follow their individual trajectories, at all times, based on their local flow conditions. PIC uses a background grid (cells) and particle positions are interpolated back onto the cells at each timestep following a Lagrangian convection. PIC is semi-Lagrangian because of the interpolation step. adrin FMDenaro and steve lee like this.

April 17, 2019, 14:22		#3
FMDenaro Senior Member Filippo Maria Denaro Join Date: Jul 2010 Posts: 6,865 Rep Power: 73	If I remember correctly, PIC method is dated in the 50s, designed by Harlow at Los Alamos. Then some years later the idea was included in the MAC method. The method have both a lagrangian update for the particle and a redistribution (interpolation) on a eulerian background grid for the state variables. steve lee likes this.

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April 21, 2019, 21:32		#4
steve lee Member Steve Join Date: Mar 2018 Location: South Korea Posts: 69 Rep Power: 8	Thanks for your reply