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A new multi-dimensional flamelet generated manifolds(MFM) approach is proposed based on solving multi-dimensional flamelet equation set in mixture fraction Z and normalized flamelet progress variable c coordinate, to capture both non-premixed and premixed combustion characteristics in partially premixed flames. Local scalar dissipation rates appeared as coefficients in multi-dimensional flamelet equation set have been modeled based on the analysis of local combustion regime during multi-dimensional flamelet calculation. Simulation results of counter-flow laminar partially premixed flames suggests that this new MFM approach can reproduce both non-premixed and premixed flame structure accurately, with computational efforts greatly reduced compared to former MFM approach.