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The research aims to enhance numerical stability in rarefied plasma simulations using the Darwin approximation.

Darwin Approximation for Numerical Modeling of Rarefied Plasma

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Randomized trial reveals a more stable method for modeling rarefied plasma, suggesting improved simulation techniques.

The research aims to enhance numerical stability in rarefied plasma simulations using the Darwin approximation.
Developed a hybrid model using kinetic equations for ions and fluid model for electrons.
Introduced a new method based on the Darwin approximation to improve stability.
Analyzed the numerical stability of the hybrid, Darwin, and new models through comparative simulations.
The new model demonstrated improved stability compared to both the hybrid and conventional Darwin schemes.
The conventional Darwin method was found to be more computationally expensive due to eight Poisson equations resolution at each time step.
The proposed method allows for a significantly larger time step without sacrificing stability.

Вшивков et al. (2026) studied this question.

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