Accurate bispectra for the Burgers equation have been computed into the high wave-number domain. Although only the imaginary part ib(k,l) contributes to spectral transfer, new insights having implications for three-dimensional turbulence can be gained by incorporating the real part a(k,l). For fixed l, for instance, the modulus of the bispectrum of the Burgers equation manifests a power-law subrange corresponding to the inertial subrange of the energy spectrum and an exponential subrange corresponding to the viscous cutoff of the energy spectrum. © 1992 American Institute of Physics.
W. Zheng and X. B. Reed, "Some Observations Of Bispectral Behavior Of Large Ensembles Of Exact Solutions To The Burgers Equation For Random Initial Conditions," Physics of Fluids A, vol. 4, no. 4, pp. 845 - 848, American Institute of Physics, Jan 1992.
The definitive version is available at https://doi.org/10.1063/1.858301
Chemical and Biochemical Engineering
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01 Jan 1992