Conditional Averages and Probability Density Functions in the Passive Scalar Field

Details Conditional Averages and Probability Density Functions in the Passive Scalar Field Conditional Averages and Probability Density Functions in the Passive Scalar Field

1997-09-16

arxiv.org/abs/chao-dyn/9709019v4

Nonlinear Sciences

Chaotic Dynamics

Some amendments were made in order to clarify the text. Figures are unchanged. 9 pages, 16 figures, LaTeX209, submitted to J.

Scientific paper

10.1143/JPSJ.67.833

Two conditional averages for the increment Delta(x,x+r) = T(x)-T(x+r) of the scalar field are estimated for DNS data: H(Delta)= and G(Delta)=<|nabla Delta(x,x+r)|^2| Delta(x,x+r)>. The probability density function P(Delta) for Delta(x,x+r) is also calculated. If Delta, P(Delta), H(Delta), and G(Delta) are expressed as theta, P(theta), h(theta), and g(theta) in a dimensionless form, the data analysis has revealed interesting simple relationships between them. These relations may be helpful to construct a turbulence model.

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