Numerical methods for plasma physics in collisional regimes

Numerical methods for plasma physics in collisional regimes

G. Dimarco†, Q. Li, L. Pareschi and B. Yan Department of Mathematics and Computer Science, University of Ferrara, via Machiavelli 35, 44121, Italy Department of Computing and Mathematical Sciences (CMS), The Annenberg Center, California Institute of Technology, 1200 E. California Blvd., Pasadena, CA 91125, USA Department of Mathematics, University of California and Los Angeles, Math Sciences Bu...

Accurate numerical methods for the collisional motion

In this paper we extend the spectral method developed in [29, 30] to the case of the inelastic Boltzmann equation describing the collisional motion of a granular gas with and without a heating source. The schemes are based on a Fourier representation of the equation in the velocity space and provide a very accurate description of the time evolution of the distribution function. Several numerica...

Regimes of expansion of a collisional plasma into a vacuum

Plasma Physics and Numerical Simulations

Plasma is a partially or fully ionized gas. Ionized gas contains free electrons and ions which carry electric charges. Thus, plasma is subject to electromagnetic forces and can react to external electric and magnetic fields. Moreover, since plasma contains free charge carriers, their relative motion can also set internal electric and magnetic fields, which in turn also influence their dynamics....

Numerical simulation of plasma-wall interactions in weakly collisional plasmas

Eulerian Vlasov codes, which solve the kinetic equation on a fixed phase-space grid, have become increasingly popular in the fusion plasma physics community. Their main advantage is the lack of random statistical noise inherent to particle-in-cell (PIC) calculations. Although they do require a somewhat larger computational effort compared to their PIC counterparts, Eulerian codes are now able t...