Characteristics analysis of the parabolized stability equations
Characteristics analysis of the parabolized stability equations
复制标题
抛物化稳定性方程的特性分析
DOI：
10.1002/sapm199492141
复制
发表时间：
1994
影响因子：
2.7
通讯作者：
H. Haj
中科院分区：
文献类型：
--
作者：
H. Haj
研究了抛物化稳定性方程（PSE）[4]的一些数学细节。特别是，确定了这些方程中（不需要的）椭圆度的来源，并提出了抑制椭圆度的建议。讨论了原始变量形式的可压缩和不可压缩方程。还对速度涡量公式进行了评论。对PSE通常处理高于一阶导数的流向导数的方法作了轻微的修改。此外，表达式推导出限制压力形状函数的流向梯度。
Some mathematical details of the parabolized stability equations (PSE) [4] are investigated. In particular, the sources of (unwanted) ellipticity in these equations are identified and suggestions are made for their suppression. Both the compressible and incompressible equations in primitive‐variable formulation are discussed. Remarks are also made on the velocity‐vorticity formulation. A slight modification to the PSEs usually method of treatment of streamwise derivatives higher than first is proposed. Also, an expression is derived for limiting the streamwise gradient of the pressure shape function.