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Surrogate model‐based strategy for cryogenic cavitation model validation and sensitivity evaluation
Authors:Tushar Goel  Siddharth Thakur  Raphael T Haftka  Wei Shyy  Jinhui Zhao
Institution:1. Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL 32611, U.S.A.;2. Visiting Professor.;3. Distinguished Professor.;4. Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI 48109, U.S.A.;5. Clarence L. ‘Kelly’ Johnson Professor.
Abstract:The study of cavitation dynamics in cryogenic environment has critical implications for the performance and safety of liquid rocket engines, but there is no established method to estimate cavitation‐induced loads. To help develop such a computational capability, we employ a multiple‐surrogate model‐based approach to aid in the model validation and calibration process of a transport‐based, homogeneous cryogenic cavitation model. We assess the role of empirical parameters in the cavitation model and uncertainties in material properties via global sensitivity analysis coupled with multiple surrogates including polynomial response surface, radial basis neural network, kriging, and a predicted residual sum of squares‐based weighted average surrogate model. The global sensitivity analysis results indicate that the performance of cavitation model is more sensitive to the changes in model parameters than to uncertainties in material properties. Although the impact of uncertainty in temperature‐dependent vapor pressure on the predictions seems significant, uncertainty in latent heat influences only temperature field. The influence of wall heat transfer on pressure load is insignificant. We find that slower onset of vapor condensation leads to deviation of the predictions from the experiments. The recalibrated model parameters rectify the importance of evaporation source terms, resulting in significant improvements in pressure predictions. The model parameters need to be adjusted for different fluids, but for a given fluid, they help capture the essential fluid physics with different geometry and operating conditions. Copyright © 2008 John Wiley & Sons, Ltd.
Keywords:cavitation  code validation  cryogenics  multiple surrogates  global sensitivity analysis
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