A parallel Vlasov solver based on local cubic spline interpolation on patches
A parallel Vlasov solver based on local cubic spline interpolation on patches
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基于局部三次样条插值的并行 Vlasov 求解器
DOI：
10.1016/j.jcp.2008.10.041
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
E. Sonnendrücker
中科院分区：
文献类型：
--
作者：
N. Crouseilles;G. Latu;E. Sonnendrücker
提出了一种在大规模并行计算机上计算Vlasov型方程数值解的方法。与已知噪声较大的单胞粒子方法不同，该方法基于半拉格朗日算法，在相空间网格上逼近Vlasov方程。由于这种方法需要巨大的计算量，因此模拟是在并行机上进行的。为此，我们提出了一种基于区域分解的局部三次样条插值方法，例如专用于处理器。区域之间的Hermite边界条件，使用特殊的导数重建，提供了一个很好的整体解的近似。该方法被应用于各种物理构型，显示了数值格式的能力。
A method for computing the numerical solution of Vlasov type equations on massively parallel computers is presented. In contrast with Particle In Cell methods which are known to be noisy, the method is based on a semi-Lagrangian algorithm that approaches the Vlasov equation on a grid of phase space. As this kind of method requires a huge computational effort, the simulations are carried out on parallel machines. To that purpose, we present a local cubic splines interpolation method based on a domain decomposition, e.g. devoted to a processor. Hermite boundary conditions between the domains, using ad hoc reconstruction of the derivatives, provide a good approximation of the global solution. The method is applied on various physical configurations which show the ability of the numerical scheme.