Implementation of a newton method for the rapid propagation of thermochemical model uncertainty in hypersonic flows

Eric C. Stern, Graham V. Candler

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A new method for reducing the cost of propagating uncertainty in hypersonic flow simulations due to physical modeling parameters is proposed. This method uses a sensitivity gradient formulation, similar to a Newton method, to quickly compute new solutions to the Navier-Stokes equations given a small perturbation to the nominal input parameters. This makes the method well suited to doing probabilistic uncertainty propagation, where many solutions must be computed. There are numerical stability issues associated with using this method, and they are explored, and possible remedies suggested. The applicability of this method to uncertainty propagation is demonstrated with a simple test case.

Original languageEnglish (US)
Title of host publication42nd AIAA Thermophysics Conference
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
ISBN (Print)9781624101465
DOIs
StatePublished - 2011
Event42nd AIAA Thermophysics Conference 2011 - Honolulu, HI, United States
Duration: Jun 27 2011Jun 30 2011

Publication series

Name42nd AIAA Thermophysics Conference

Other

Other42nd AIAA Thermophysics Conference 2011
CountryUnited States
CityHonolulu, HI
Period6/27/116/30/11

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