Time efficiency is one of the more critical concerns in computational fluid dynamics simulations of industrial applications. Extensive research has been conducted to improve the underlying numerical schemes to achieve time process reduction. Within this context, this paper presents a new time discretization method based on the Adomian decomposition technique for Euler equations. The obtained scheme is time-order adaptive; the order is automatically adjusted at each time step and over the space domain, leading to significant processing time reduction. The scheme is formulated in an appropriate recursive formula, and its efficiency is demonstrated through numerical tests by comparison to exact solutions and the popular Runge-Kutta-DG method.

翻译：在工业应用的计算流体动态模拟中,时间效率是更为关键的问题之一,已经进行了广泛的研究,以改进基本的数字方法,以缩短时间过程;在此范围内,本文件介绍了一种基于Euler方程式的Adomian分解技术的新的时间分解方法;获得的方法是时间顺序适应;顺序在每一步骤和空间域上自动调整,导致显著的处理时间缩短;该计划是以适当的递转公式拟订的,其效率通过与精确解决方案和流行的Runge-Kutta-DG方法的比较,通过数字测试来证明。