Conservative formulation of the drift-reduced fluid plasma model

TL;DR

This paper develops a conservative drift-reduced fluid plasma model that ensures exact conservation of energy, mass, charge, and momentum in various magnetic geometries, including electromagnetic fluctuations.

Contribution

It introduces an analytical inversion method to formulate a conservative plasma model that maintains fundamental conservation laws in complex magnetic geometries.

Findings

Model satisfies exact conservation laws for energy, mass, charge, and momentum.

Applicable to arbitrary magnetic geometries with electromagnetic fluctuations.

Ensures physical fidelity in plasma simulations.

Abstract

A conservative formulation of the drift-reduced fluid plasma model is constructed by analytically inverting the implicit relation defining the polarisation velocity as a function of the time-derivative of the electric field. The obtained model satisfies exact conservation laws for energy, mass, charge and momentum, in arbitrary magnetic geometry, also when electromagnetic fluctuations are included.