Numerical solution of problems of plasma dynamics with a neutral layer

Sherzod Khudainazarov,Ubaydulla Khalmatov,Obidjon Karabayev,Akhrorbek Numonov,O Tursunov

doi:10.1051/e3sconf/202130401015

Abstract

Mathematical modeling on a computer is widely used in problems of magnetic hydrodynamics and dynamics of ionized gas (plasma). In these problems, in addition to the equations of mass, momentum, and energy balance that are common in continuum mechanics, it is necessary to solve Maxwell’s equations for the electromagnetic field. An urgent and interesting problem in the theory of ionized gas is the problem of changing the topology of the magnetic field in plasma during the processes of magnetic field lines reconnection. Such situations are characteristic of plasma processes in the Earth’s magnetosphere (natural processes and the ones resulting from active experiments in space) and in laboratory facilities for the creation of closed configurations. Because of the difficulties of diagnostics, mathematical numerical modeling is of great importance. The article presents twodimensional mathematical models of the processes of magnetic field lines reconnection occurring in plasma with finite conductivity in the vicinity of the neutral surface. Effective numerical algorithms are constructed for solving problems of plasma dynamics in the approximation of one-fluid magnetohydrodynamics. Calculations are conducted taking into account dissipative processes. The problem of transportation and interaction of closed plasma configurations in a single computational domain was solved.

Highlights

Mathematical modeling as a scientific direction is still quite young, and its active development continues
Experimental studies are conducted in many research laboratories worldwide, including large generators Angara-5-1 and S-300 in Russia, the MAGPIE generator in the UK and the world's largest generator "Z" in the USA
The tempting prospect of solving the energy problem of humanity can be associated with controlled thermonuclear fusion (CTF), the study of which is conducted, in particular, by a computational experiment

Summary

Introduction

Mathematical modeling as a scientific direction is still quite young, and its active development continues. One of the promising directions in the creation of high-intensity pulsed sources of soft X-ray radiation for the CTF program with inertial plasma confinement, and the study of the properties of materials under conditions of the destructive effect of absorbed radiation on them, is based on pulsed generators of the mega-ampere range, for which the load is an imploding Z-pinch with characteristic dynamics times of the order of several tens of nanoseconds. This makes it possible to obtain pulses of soft X-ray radiation with the power of hundreds of terawatts [3]. Investigation of the possibility of accelerating particles in a current sheet involves several stages, one of which is obtaining a stable current sheet

Formulation of the problem

Results and Discussion

Conclusions