Based on the classic k-ε turbulence model

ε equation is replaced by a theoretical model which formed a near-wall turbulence model.The calculation of the 2-D NACA0012 airfoil in low Reynolds number flow field validated the theoretical model.The non-dimensional property of the result obtained from the theoretical model improves the calculation

so the distribution of C_pagrees better with experimentation.The analysis shows that the effect of converse pressure gradient on ε is prominent

and it validates the result of theoretical and numerical computation.