Abstract: Even though all upwind schemes of Control-Volume Finite-Element Method (CVFEM) enhance the accuracy for simulation of advection-dominated fluid flows,but lead to severe false diffusion for flows oblique or skew to the axis direction.A high-order polynomial interpolation scheme is proposed,based on the locally skewed upwind scheme and an upwind neighbor element of the interpolated element.The numerical tests of lid-driven cavity flow in three different geometric fields for Re =1000,and with 41×41 uniform grids,proved that the proposed high-order scheme can almost achieve the bench-mark solutions that previous researchers obtained with much more refined grids.