Exploiting active subspaces to quantify uncertainty in the numerical simulation of the HyShot II scramjet

JOURNAL OF COMPUTATIONAL PHYSICS

卷:302

Article

Constantine, P. G.¹  Emory, M.²  Larsson, J.³  Iaccarino, G.² 

[1] Colorado Sch Mines, Dept Appl Math & Stat, Golden, CO 80401 USA

[2] Stanford Univ, Ctr Turbulence Res, Stanford, CA 94305 USA

[3] Univ Maryland, Dept Mech Engn, College Pk, MD 20742 USA

关键词: Uncertainty quantification;    Active subspace;    Hypersonic;    Scramjet;   

DOI  :  10.1016/j.jcp.2015.09.001

来源: Elsevier

【 摘 要 】

We present a computational analysis of the reactive flow in a hypersonic scramjet engine with focus on effects of uncertainties in the operating conditions. We employ a novel methodology based on active subspaces to characterize the effects of the input uncertainty on the scramjet performance. The active subspace identifies one-dimensional structure in the map from simulation inputs to quantity of interest that allows us to reparameterize the operating conditions; instead of seven physical parameters, we can use a single derived active variable. This dimension reduction enables otherwise infeasible uncertainty quantification, considering the simulation cost of roughly 9500 CPU-hours per run. For two values of the fuel injection rate, we use a total of 68 simulations to (i) identify the parameters that contribute the most to the variation in the output quantity of interest, (ii) estimate upper and lower bounds on the quantity of interest, (iii) classify sets of operating conditions as safe or unsafe corresponding to a threshold on the output quantity of interest, and (iv) estimate a cumulative distribution function for the quantity of interest. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free