【摘 要】
：
本文首先讨论扩散抛物化(DP)NS方程组的早期研究工作:它的提出、数学性质、意义和在CFD中的应用,然后讨论扩散抛物化理论的一些新发展.这些新发展是对NS方程组数值计算进行物
【机 构】
：
中国航天科技集团公司(北京)中国科学院力学研究所(北京)
论文部分内容阅读
本文首先讨论扩散抛物化(DP)NS方程组的早期研究工作:它的提出、数学性质、意义和在CFD中的应用,然后讨论扩散抛物化理论的一些新发展.这些新发展是对NS方程组数值计算进行物理分析的基础上得到的,其中包括NS方程组差分计算时,粘性剪切流对网格间距和格式精度的要求;粘性项只保留剪切粘性项的广义扩散抛物化(GDP)NS方程组,它的性质和应用.由于高Re数流动在NS方程组的差分计算中,网格Re数彼此相差悬殊的特点,产生了计算离散单元守恒方程组的新的算法思路,即离散流体力学(DFD)算法.在DFD算法中需要同时计算三种不同的守恒方程组(Euler,DPNS和NS方程组).本文讨论了DFD格式的构造、它的优点和应用.并以超声速绕前后台阶流动为算例,来说明GDPNS方程组的用处和DFD算法的优点.DPNS方程组、GDPNS方程组、DFD算法是高智提出的,对这些问题他和合作者从理论、算法、数值验证和某些应用又作了系统的研究.
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