In this paper, one remarkable progress has been made to the unified gas-kinetic wave-particle method that removes the time step constraint. As long as the time resolution is acceptable, the Courant number can be set as unlimited large number. The non-equilibrium transport flow physics will be accurately captured without introducing artificial closure to the distribution function. The main idea is to introduce two time parameters to control the time evolution process, namely the physical time scale parameter and the numerical time step parameter. Based on the physical time scale parameter, the governing equations in discretized form will be derived, whose underline physics will not change with the value of the numerical marching step. We define the preservation of non-equilibrium state as the entropy preserving. Besides physical invariance, the proposed implicit unified gas-kinetic wave-particle method is asymptotic preserving and regime adaptive. Multidimensional 2D and 3D codes are developed for the inertial confinement fusion engineering application. Some multiscale tests are simulated to verify the numerical method as well as the programs.

翻译：本文在统一气体动理论波粒方法上取得了显著进展，消除了时间步长限制。只要时间分辨率可接受，库朗数可设置为任意大的数值。非平衡输运流动物理将在无需对分布函数引入人工闭合的情况下被精确捕捉。主要思想是引入两个时间参数来控制时间演化过程，即物理时间尺度参数和数值时间步长参数。基于物理时间尺度参数，将推导出离散形式的控制方程，其内在物理特性不会随数值推进步长的取值而改变。我们将非平衡状态的保持定义为熵保持。除物理不变性外，所提出的隐式统一气体动理论波粒方法具有渐近保持性和工况自适应性。针对惯性约束聚变工程应用，开发了多维二维和三维计算程序。通过多尺度算例模拟验证了数值方法及程序的可靠性。