论文标题
在所有方案中,用于流量计算的三维统一气体波动粒子求解器
A three-dimensional unified gas-kinetic wave-particle solver for flow computation in all regimes
论文作者
论文摘要
在本文中,统一的气动波颗粒(UGKWP)方法是在三维非结构化网格上构建的,并通过平行计算进行多尺度流动模拟。遵循统一气体运动方案(UGK)的直接建模方法,UGKWP方法模拟了不同制度的流动动力学,并直接获得了局部细胞的knudsen数值依赖性数值解决方案,而无需动力学尺度细胞分辨率。 UGKWP方法由确定波和随机颗粒的演变组成。随着动态波粒子的分解,UGKWP方法能够在统一的框架下捕获连续波相互作用和稀有粒子传输,并在不同的流动状态下达到高效率。 UGKWP流量求解器通过许多不同的Mach和Knudsen数字的三维测试用例进行了验证,其中包括3D冲击管问题,盖子驱动的腔流量,穿过立方体物体的高速流以及围绕太空车辆的超声流动。并行性能已在天he-2超级计算机上进行了测试,并且已经观察到合理的并行性能多达一千个核心处理。由于波粒子的配方,UGKWP方法具有巨大的潜力,可以通过连续性和稀有流动方式共存三维多尺度运输,尤其是对于近太空飞行中的高速稀有和连续性流动。
In this paper, the unified gas-kinetic wave-particle (UGKWP) method has been constructed on three-dimensional unstructured mesh with parallel computing for multiscale flow simulation. Following the direct modeling methodology of the unified gas-kinetic scheme (UGKS), the UGKWP method models the flow dynamics uniformly in different regime and gets the local cell's Knudsen number dependent numerical solution directly without the requirement of kinetic scale cell resolution. The UGKWP method is composed of evolution of deterministic wave and stochastic particles. With the dynamic wave-particle decomposition, the UGKWP method is able to capture the continuum wave interaction and rarefied particle transport under a unified framework and achieves the high efficiency in different flow regime. The UGKWP flow solver is validated by many three-dimensional test cases of different Mach and Knudsen numbers, which include 3D shock tube problem, lid-driven cavity flow, high-speed flow passing through a cubic object, and hypersonic flow around a space vehicle. The parallel performance has been tested on the Tianhe-2 supercomputer, and reasonable parallel performance has been observed up to one thousand core processing. Due to wave-particle formulation, the UGKWP method has great potential in solving three-dimensional multiscale transport with the co-existence of continuum and rarefied flow regimes, especially for the high-speed rarefied and continuum flow around space vehicle in near space flight.