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An implicit, asymptotic-preserving and energy-charge conserving method for the Vlasov-Maxwell system near quasineutrality
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Reporter:
Chuwen Ma, Doctor, Shanghai Jiao Tong University
Inviter:
Weiying Zheng, Professor
Subject:
An implicit, asymptotic-preserving and energy-charge conserving method for the Vlasov-Maxwell system near quasineutrality
Time and place:
15:00-16:00 April 1 (Saturday), N733
Abstract:

An implicit asymptotic-preserving and energy-charge conserving (APECC) Particle-In-Cell method is proposed to solve the Vlasov-Maxwell (VM) equations in the quasi-neutral limit. Charge conservation is enforced by particle orbital averaging and fixed sub-time steps.  The truncation error depending on the number of sub-time steps is further analyzed. The Crank-Nicolson method is used to exactly conserve the discrete energy. The key step in the asymptotic-preserving iteration for the nonlinear system is based on a decomposition of the current density in the Maxwell model from the Vlasov equation. Moreover, we show that the convergence is independent of the quasi-neutral limit. Using extensive numerical experiments, we show that the proposed method can achieve  asymptotic preservation  and energy-charge conservation.