References in periodicals archive ?
From this, we can calculate the FTLE for the shorter semiaxis of a material ellipse and the Lyapunov dimension:
(7) to compute the larger FTLE [[lambda].sub.1]; as the remaining integral in that equation could be evaluated analytically into a complicated expression involving hypergeometric functions, we preferred to calculate the integral numerically.
In the case of chaotic flows with smooth streamlines, the properties of stretching statistics are most conveniently described in terms of finite-time Lyapunov exponents (FTLEs), which describe, roughly speaking, how the logarithms of the length, width, and height of a material parallelepiped will evolve.
In what follows, we derive analytical expressions for the FTLEs and the Lyapunov dimension as functions of compressibility and show that the results are in a good agreement with earlier simulation results.
FTLE is the sixth joint venture between Teikoku Piston Ring and Federal-Mogul.
Acronyms browser ?
Full browser ?