Multi-moment advection scheme in three dimension for Vlasov simulations of magnetized plasma

TL;DR

This paper extends a multi-moment advection scheme to three dimensions for electromagnetic Vlasov simulations, enabling accurate modeling of magnetized plasma with minimal numerical errors.

Contribution

The paper introduces a 3D multi-moment advection scheme for Vlasov simulations, improving accuracy and stability in modeling magnetized plasma dynamics.

Findings

Accurately solves solid body rotation of Gaussian profiles with minimal dispersion.

Successfully simulates electromagnetic wave propagation and electron temperature anisotropy instability.

Maintains good energy conservation in nonlinear plasma simulations.

Abstract

We present an extension of the multi-moment advection scheme (Minoshima et al., 2011, J. Comput. Phys.) to the three-dimensional case, for full electromagnetic Vlasov simulations of magnetized plasma. The scheme treats not only point values of a profile but also its zeroth to second order piecewise moments as dependent variables, and advances them on the basis of their governing equations. Similar to the two-dimensional scheme, the three-dimensional scheme can accurately solve the solid body rotation problem of a gaussian profile with little numerical dispersion or diffusion. This is a very important property for Vlasov simulations of magnetized plasma. We apply the scheme to electromagnetic Vlasov simulations. Propagation of linear waves and nonlinear evolution of the electron temperature anisotropy instability are successfully simulated with a good accuracy of the energy conservation.