Theory for incompressible fluid turbulence |
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Authors: | Francis J Testa Gerald Rosen |
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Institution: | Department of Physics Drexel University, Philadelphia, Pennsylvania USA |
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Abstract: | The functional integral representation for the space-time Hopf characteristic functional associated with boundary-free incompressible fluid turbulence is evaluated accurately to order R-2, where R is the dimensionless Reynolds number in the theory. This work extends the results obtained previously for C-dominant turbulence to the regime of experimentally accessible large Reynolds numbers. We obtain a characteristic functional of non-Gaussian form as an asymptotically exact solution to the theory for large values of R. Two-point and three-point velocity correlation tensors of physical interest are derived from the characteristic functional. |
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