MOMENT APPROXIMATIONS FOR PROBABILITY DENSITY-FUNCTIONS

被引：25

作者：

DERKSEN, RW

SULLIVAN, PJ

机构：

[1] Department of Applied Mathematics, University of Western Ontario, London, Ont.

来源：

COMBUSTION AND FLAME | 1990年 / 81卷 / 3-4期

关键词：

D O I：

10.1016/0010-2180(90)90033-N

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

The problem of reconstructing a probability density function from a small number of measured integral moments of the random variable is discussed. The situation where the random variable is the concentration of a scalar contaminant within a turbulent shear flow is considered in detail. Advantage is taken of a theoretical prediction for the distribution of moments in self-similar shear flows such as jets, wakes, and boundary layers to motivate the use of a Jacobi polynomial expansion for the inversion problem. A comparison is made between the uses of the Jacobi and Legendre polynomial expansions and a maximum entropy formulation with experimental data. © 1990.

引用

页码：378 / 391

页数：14

共 28 条

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