Mechanics in Engineering ›› 2013, Vol. 35 ›› Issue (4): 48-52.

• Applied Research •

### PROPERTIES OF THE CLIPPED GAUSSIAN PROBABILITY DENSITY FUNCTION AND THE DETERMINATION OF ITS UNKNOWN PARAMETERS

PANG Jie, ZHANG Jian

1. Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China
• Received:2013-03-05 Revised:2013-06-09 Online:2013-08-08 Published:2013-08-26

Abstract:

The clipped Gaussian distribution is a probability density function of instantaneous scalar, which is commonly used in turbulent combustions. However, it is diffcult to determine its unknown parameters. A theoretical analysis is made for the clipped Gaussian distribution in this paper. Some of its properties are discussed. When the mean square of the fluctuating scalar (g) becomes large, the unknown parameters μ and σ have a linear relationship. Thus the determination of the unknown parameters is reduced to the determination of a single parameter. For general values of g, the contour lines of the averaged scalar (f) are extracted and the interpolation along them is performed. The unknown parameters μ and σ are determined rapidly under different values of f and g. A data table is established.

Key words:

clipped gaussian distribution|probability density function|turbulent combustion

CLC Number:

• TK16