This is a joint work of Dukjin Nam (Ph.D. student) with Dr. Efendiev (Texas A&M) and Dr. Novikov (Penn. State). The goal of this project is to develop an efficient multiscale numerical technique for solving turbulent diffusion equation. The work is based on a recent work of Dr. Novikov (with G.Papanicolaou and L.Ryzhik) "Boundary layers for cellular flows at high Peclet numbers", Comm. Pure Appl. Math., vol.58 (2005), no. 7, pp. 867-922. Reconstructed solution of Childress problem (above). This figure represents a periodic solution of reduced equations related to Childress's problem (above). This figure illustrates the periodic initial condition for reduced Childress's problem (above). L2-norm of the difference between initial function and solution function on [4M\pi, 4(M+1)\pi] (M=0,1,2,3)