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Journal Article

Closure of two-dimensional turbulence: The role of pressure gradients

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Cencini,  M.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Davoudi,  J.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Boffetta, G., Cencini, M., & Davoudi, J. (2002). Closure of two-dimensional turbulence: The role of pressure gradients. Physical Review E, 66(1): 017301. Retrieved from http://ojps.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PLEEE8000066000001017301000001&idtype=cvips&gifs=yes.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002B-3747-F
Abstract
Inverse energy cascade regime of two-dimensional turbulence is investigated by means of high resolution numerical simulations. Numerical computations of conditional averages of transverse pressure gradient increments are found to be compatible with a recently proposed self-consistent Gaussian model. An analogous low-order closure model for the longitudinal pressure gradient is proposed and its validity is numerically examined. In this case numerical evidence for the presence of higher-order terms in the closure is found. The fundamental role of conditional statistics between longitudinal and transverse components is highlighted.