This paper presents a hybrid numerical method for linear collisional kinetic equations with diffusive scaling. The aim of the method is to reduce the computational cost of kinetic equations by taking advantage of the lower dimensionality of the asymptotic fluid model while reducing the error induced by the latter approach. It relies on two criteria motivated by a pertubative approach to obtain a dynamic domain decomposition. The first criterion quantifies how far from a local equilibrium in velocity the distribution function of particles is. The second one depends only on the macroscopic quantities that are available on the whole computing domain. Interface conditions are dealt with using a micro-macro decomposition and the method is significantly more efficient than a standard full kinetic approach. Some properties of the hybrid method are also investigated, such as the conservation of mass.

翻译：本文为具有 diffusive 缩放的线性碰撞动能方程提供了一个混合数字方法。 方法的目的是利用无症状液体模型的较低维度来降低动能方程的计算成本,同时减少后者引起的错误。 它依赖于两种由渗透法驱动的标准,以获得动态域分解。 第一项标准量化粒子分布功能离本地平衡有多远。 第二项标准仅取决于整个计算域的宏形分解量。 界面条件使用微粒分解法处理,该方法比标准的全动能法效率高得多。 混合方法的某些特性也得到了调查, 如质量保护。