The prewndltlonlng pmcadure for generalized flnlterste chemistry and the proper premndltioning for the onedimensional Navler-Stoksr equatlons are presented. Elgenvalue 8tMmss Is r w l v e d and anvergemerate acwleratlon Is demonstrated over the entire Mach-number range from the lnmmpresslble to the hypersonlc. Specific benefits are realized at low and transonlc flow speeds. The extended preconditioning mablx acmunts for thermal and chemlcal non-equlllbrlum and Its Implementation Is explained for both expllclt and lrnpllclt U r n marching. Tho effect of hlgher4rder spatial accuracy and varlous flux spllttlngs Is lnvestlgated. Numerical analysis reveals the possible theoretical Improvements t o m uslng precondltlonlng at all Mach numbers. Numerical results mnflrm the expectatlonu from the numerical analysts. Represantatlve lest c a w Include fbws wlth previously troublesome embedded hlghcondltion-number reglons. U Nomenclature a Sound speed A, Inviscid flux Jacobians A" Viscous flux Jacobian C" e Mixture internal energy eo Mixture internal stagnation energy e, Mixture non-equilibrium energy f, g, h Inviscid flux vectors ho Mixture internal stagnation enthalpy f
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