A new elliptic relaxation operator that is able to correct the erroneous increase of the redistribution from the original one suggested by Durbin [J. Fluid Mech. 249], is developed by using an inhomogeneous correction to its source term. In this work the amplification of the redistribution arising from the original model is investigated in detail by using DNS analysis. It is shown that the amplification effect extends the near-wall layer into the wake layer as well as the logarithmic layer. Also, it can be seen that the remedy of all modified neutral operators proposed so far is limited only in the logarithmic layer. However, the behavior of the present operator can be significantly improved in the overall region without amplification of the redistribution. The computational results for the new operator agree quite well with the DNS/LES data without using any ad hoc additional term in the governing equations in order to obtain a rotating effect.