# Accurate estimation of third-order moments from turbulence measurements

@article{Podesta2009AccurateEO, title={Accurate estimation of third-order moments from turbulence measurements}, author={J. Podesta and M. Forman and C. Smith and D. Elton and Y. Mal{\'e}cot and Y. Gagne}, journal={Nonlinear Processes in Geophysics}, year={2009}, volume={16}, pages={99-110} }

Abstract. Politano and Pouquet's law, a generalization of Kolmogorov's four-fifths law to incompressible MHD, makes it possible to measure the energy cascade rate in incompressible MHD turbulence by means of third-order moments. In hydrodynamics, accurate measurement of third-order moments requires large amounts of data because the probability distributions of velocity-differences are nearly symmetric and the third-order moments are relatively small. Measurements of the energy cascade rate in… Expand

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#### References

SHOWING 1-10 OF 37 REFERENCES

Laws for third-order moments in homogeneous anisotropic incompressible magnetohydrodynamic turbulence

- Physics
- Journal of Fluid Mechanics
- 2008

A statistical estimator of turbulence intermittency in physical and numerical experiments

- Mathematics
- 2000

Can high-order moments be meaningfully estimated from experimental turbulence measurements?

- Medicine
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2004