Exact conservation laws for truncated gyrokinetic Vlasov-Poisson equations
Natalia Tronko, Alain Brizard
TL;DR
This paper derives exact momentum conservation laws for the delta-f truncated gyrokinetic Vlasov-Poisson system using Noether's method, aiding numerical simulations of plasma physics.
Contribution
It adapts Noether's method to derive precise conservation laws for the truncated gyrokinetic Vlasov-Poisson equations, enhancing theoretical understanding and numerical implementation.
Findings
Derived exact momentum conservation laws for the system
Provided a framework for numerical implementation
Enhanced understanding of plasma momentum transport
Abstract
The purpose of the current work is adapting the results of the Noether method derivation of momentum transport equation for the gyrokinetic Vlasov-Poisson system to numerical implementations. In particular, we are considering the delta-f truncated Gyrokinetic Vlasov-Poisson system and we derive the exact momentum conservation laws via the Noether method.
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Taxonomy
TopicsMagnetic confinement fusion research · Computational Fluid Dynamics and Aerodynamics · Gas Dynamics and Kinetic Theory