An exercise from Pope, Turbulent Flows
This post discusses exercise 6.11 (p. 205) of Turbulent Flows, the book by S. B. Pope.
The Airy function and a sequence of permutations
Let’s explore the connection between the Airy function and the integer sequence A052502.
The lognormal model and the linearization effect
The lognormal is the simplest model of the structure-function exponents in turbulence: It predicts quadratic exponents. However, a quadratic function is not a realistic model for turbulence. This post discusses how a minimum Holder exponent changes this picture, linearizes the lognormal model, and may resolve this contradiction.
High Dimensional Fractional Gaussian Fields
In this post we’ll look at the statistical properties of fractional Gaussian fields in arbitrary dimensions.