This paper presents a simple approach for improv-ing the performance of the weighted essentially non-oscillatory(WENO)finite volume scheme on non-uniform grids.This technique relies on the reformulation of the fifth-order WENO-JS(WENO scheme presented by Jiang and Shu in J.Comput.Phys.126:202–228,1995)scheme designed on uniform grids in terms of one cell-averaged value and its left and/or right interfacial values of the dependent variable. The effect of grid non-uniformity is taken into consideration by a proper interpolation of the interfacial values.On non-uniform grids,the proposed scheme is much more accurate than the original WENO-JS scheme,which was designed for uniform grids.When the grid is uniform,the resulting scheme reduces to the original WENO-JS scheme.In the meantime, the proposed scheme is computationally much more efficient than the fifth-order WENO scheme designed specifically for the non-uniform grids.A number of numerical test cases are simulated to verify the performance of the present scheme.
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