Abstract
A Fourier transformation based unified gas-kinetic scheme (UGKS) is proposed to simulate the kinetic behaviors of plasma in cylindrical coordinates (r,θ,vr,vθ), the model is depicted by Vlasov–Poisson equations coupled with Bhatnagar–Gross–Krook(BGK) collision term. Fourier transformation is applied to the equations for θ and a series of equations are gotten. Based on Strang-splitting strategy, Vlasov equations are divided into two parts, the transport-collision part solved by a multiscale gas-kinetic scheme, and acceleration part solved by Runge–Kutta method. The algorithm is applied on charge separation problem at plasma edge and Z-pinch configuration. Numerical results show our scheme can give a clear kinetic picture of plasma in 2D phase space, and also can capture the process from non-equilibrium to equilibrium state by Coulomb collisions.
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