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Publisher Summary This chapter presents a model reduction method in an adaptive chemistry framework methodology for simulating reacting flows with high chemical accuracy and significant computational saving. Eleven reduced models have been generated based on a one-dimensional laminar flame using this method. A two-dimensional laminar partially premixed methane-air flame has been simulated using these reduced models through the adaptive chemical approach. For the case studied, adaptive chemistry reproduces accurately the full chemistry solution and is about four times faster than the full chemistry solution procedure. An effective application of the adaptive chemistry depends on one's ability to automatically and efficiently generate libraries comprising reduced models that are significantly smaller than the full mechanism, but nonetheless very accurate. To use the adaptive chemistry approach, one has to first construct a reduced model library. The number of species in each reduced model is determined by eliminating all species with formation and destruction rates—both below a threshold value.