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We present a computational analysis of the reactive flow in a hypersonicscramjet engine with focus on effects of uncertainties in the operatingconditions. We employ a novel methodology based on active subspaces tocharacterize the effects of the input uncertainty on the scramjet performance.The active subspace identifies one-dimensional structure in the map fromsimulation inputs to quantity of interest that allows us to reparameterize theoperating conditions; instead of seven physical parameters, we can use a singlederived active variable. This dimension reduction enables otherwise infeasibleuncertainty quantification, considering the simulation cost of roughly 9500CPU-hours per run. For two values of the fuel injection rate, we use a total of68 simulations to (i) identify the parameters that contribute the most to thevariation in the output quantity of interest, (ii) estimate upper and lowerbounds on the quantity of interest, (iii) classify sets of operating conditionsas safe or unsafe corresponding to a threshold on the output quantity ofinterest, and (iv) estimate a cumulative distribution function for the quantityof interest.

Exploiting Active Subspaces to Quantify Uncertainty in the Numerical Simulation of the HyShot II Scramjet