A transformation for the energy-transfer term in isotropic turbulence

Abstract

The application of a particular transformation to the triadic integral results in an expression having the following advantages: (a) it satisfies global energy conservation in an evident fashion, independently of the accuracy of the energy-spectrum calculations; (b) it allows an economy of computational time; (c) it shows certain symmetries in the behaviour of non-local interactions; (d) it provides, for the non-local interactions contribution to the transfer function, an expression which is simpler and more compact than those existing, in spite of being more nearly complete; (e) finally the calculated energy-transfer distribution is in good agreement with the experimental findings through a very large range of Rλ.