# Numerical Verification of the Weak Turbulent Model for Swell Evolution

@article{Korotkevich2008NumericalVO, title={Numerical Verification of the Weak Turbulent Model for Swell Evolution}, author={A. Korotkevich and A. Pushkarev and D. Resio and V. E. Z. L. L. I. F. T. Ras and R. L. P. I. Ras and Russia. and Waves and Solitons Llc and Phoenix and Usa and Coastal and H. Laboratory and U. S. A. E. Research and Development Center and Vicksburg and D. Mathematics and U. Arizona and Tucson}, journal={European Journal of Mechanics B-fluids}, year={2008}, volume={27}, pages={361-387} }

Abstract The purpose of this article is to numerically verify the theory of weak turbulence. We have performed numerical simulations of an ensemble of nonlinearly interacting free gravity waves (a swell) by two different methods: by solving the primordial dynamical equations describing the potential flow of an ideal fluid with a free surface, and by solving the kinetic Hasselmann equation, describing the wave ensemble in the framework of the theory of weak turbulence. In both cases we have… Expand

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#### References

SHOWING 1-10 OF 132 REFERENCES

Verification of Hasselmann's energy transfer among surface gravity waves by direct numerical simulations of primitive equations

- Physics
- Journal of Fluid Mechanics
- 2001

Direct numerical simulation of downshift and inverse cascade for water wave turbulence.

- Physics, Medicine
- Physical review letters
- 2006

Statistics of gravity waves obtained by direct numerical simulation

- Physics
- Journal of Fluid Mechanics
- 2004