On the energy conservation electrostatic PIC/MC simulating: benchmark and application to the radio frequency discharges
We benchmark and analyze the error of energy conservation (EC) scheme for Particle in cell/Monte-Carlo Couple (PIC/MCC) algorithms by a radio frequency discharging simulation. The plasma heating behaviors and electron distributing functions obtained by 1D simulation are analyzed. Both explicit and implicit algorithms are checked. The results showed that the EC scheme can eliminated the self-heating with wide grid spacing in both cases with a small reduction of the accuracies. In typical parameters, the EC implicit scheme has higher precision than EC explicit scheme. Some "numerical cooling" behaviors are observed and analyzed. Some other error are analyzed also. The analysis showed EC implicit scheme can be used to qualitative estimation of some discharge problems with much less computational resource costs without much loss of accuracies.