Plasma particle-field Vlasov-Maxwell system long-term, large-scale and high-fidelity analog method

Abstract

The invention discloses a plasma particle-field Vlasov-Maxwell system long-term, large-scale and high-fidelity analog method which comprises the steps that a plasma system requiring analog computation is determined, and a related expression manner is obtained; the related expression manner is subjected to discrete treatment, and the Marsden-Weinstein Poisson bracket and the Hamiltonian of the system are discrete according to the expression manner subjected to discrete treatment; according to the discrete Marsden-Weinstein Poisson bracket and Hamiltonian of the system, an evolution equation of plasma particles and an electromagnetic field is obtained; the evolution equation of the plasma particles and the electromagnetic field is treated with an Euler-symplectic algorithm, and a discrete format is obtained by iterative solution, so that plasma particle-field Vlasov-Maxwell system long-term, large-scale and high-fidelity analog is realized. Long-term numerical accuracy and conservativeness of the analog process can be ensured with the method, and high-fidelity and long-term analog can be ensured.

Description

technical field [0001] The invention relates to the technical field of plasma numerical simulation, in particular to a long-term large-scale high-fidelity simulation method for a plasma particle-field self-consistent system. Background technique [0002] The goal of plasma science and technology development is to study the evolution and characteristics of a self-consistent system (Vlasov-Maxwell, Vlasov-Maxwell system) composed of a large number of charged particles and electromagnetic fields, and make use of it. Plasma is a self-consistent system with a high degree of freedom, multi-scale, strong correlation, and collective effect, which has extremely high complexity. Analytical theoretical methods generally use various simplifications to explore the individual properties of the plasma in order to obtain some side information of the self-consistent system. However, analytical methods are difficult to deal with ubiquitous complex processes such as multi-scale, strong correl...

AI Technical Summary

Problems solved by technology

Most importantly, this "rough" discrete recursive method cannot maintain the long-term conservation properties of the system (ie energy conservation, charge conservation, etc. in the simulation process)

In practical calculations, the coherent accumulation of numerical errors will inevitably lead to numerical energy dissipation and numerical heating

Due to the continuous accumulation and amplification of numerical errors, when simulating multi-scale, nonlinear and other plasma processes that require long-term evolution, the results will be seriously distorted and the simulation technology will be invalid.

It can be seen that the traditional PIC method is not suitable for solving multi-time scale and nonlinear physical problems, so it cannot be widely used in the corresponding plasma scientific research and engineering technology.

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