A Convolutional Method for Solving Non-quasi-neutral Hybrid-PIC Model of Plasma

The hybrid model of particle-ion-fluid-electron is widely utilized in astrophysical and laser-produced plasmas due to its kinetic characteristics and remarkable computational efficiency. However, the current numerical methods for the hybrid model have limitations when it comes to simulating non-quasi-neutral plasmas. To address this issue, I proposed a novel method called Convolutional Hybrid PIC (conv-HPIC). The conv-HPIC is based on a convolution equation derived from the Poisson's equation and the generalized Ohm's law. I performed numerical simulations on the collisionless electrostatic shock to validate the effectiveness of this method. The results demonstrate that the proposed method can accurately describe and predict the behavior of non-quasi-neutral plasmas. This method can be applied to both stationary and non-stationary electrostatic issues. It avoids the need for iterative calculations, effectively suppresses numerical noise, exhibits good computational efficiency, and can be easily parallelized.