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Explicit electromagnetic algorithm for 2D using a multi-fluid model in laser-produced plasmas

机译:激光产生等离子体中使用多流体模型的2D显式电磁算法

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A new algorithm is presented for the explicit calculation of the electromagnetic fields in 2D simulation plasmas. This paper describes a multi-fluid model for the simulation of laser plasma interaction. Our description includes a simple two-electron fluid model and the background ions in a laser target, as coupled fluid components moving relative to a fixed Eulerian mesh. The electrons become a perfect gas obeying the non relativistic Maxwell-Boltzmann distribution. Briginskii's expression is used. The magnetic field equation is integrated in time by the Lax-Wendroff modified scheme, a method that is known to be stable as long as the Courant-Friedrichs-Lewy condition is satisfied. The first approximation step B~(m + 1/2) = + ( * B~m) Δt/2 (1) is followed by the full step B~(m + 1) = B~m + (v~(m + 1/2 * B~(m + 1/2)) Δt. (2) With the explicit treatment of V-vector * B-vector in the fluid equation used, the matrix equation solved for the magnetic field reduces, from a 7-point coupling to a 5-point one to its nearest neighbors, in the direction z(B_z), which leads to a 5-diagonal, sparse matrix that can be solved by both ADI and TDMA.
机译:提出了一种用于二维计算等离子体中电磁场显式计算的新算法。本文介绍了一种用于模拟激光等离子体相互作用的多流体模型。我们的描述包括一个简单的双电子流体模型和一个激光目标中的背景离子,因为耦合的流体成分相对于固定的欧拉网格运动。电子成为遵循非相对论麦克斯韦-玻尔兹曼分布的理想气体。使用Briginskii的表达式。磁场方程通过Lax-Wendroff修改方案进行及时积分,该方法只要满足Courant-Friedrichs-Lewy条件就可以保持稳定。第一近似步骤B〜(m + 1/2)= +( * B〜m)Δt/ 2(1)之后是完整步骤B〜(m + 1) = B〜m +(v〜(m + 1/2 * B〜(m + 1/2))Δt。(2)在使用的流体方程式中明确处理V向量* B向量的情况下,矩阵磁场求解方程式从z点(B_z)的方向从7点耦合到5点耦合到其最近邻点减小,这导致可以由两个ADI求解的5对角稀疏矩阵和TDMA。

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