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On Estimation of Temperature Uncertainty Using the Second Order Adjoint Problem |
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| Authors: | Aleksey K. Alekseev I. Michael Navon |
| Affiliation: | 1. Department of Aerodynamics and Heat Transfer, RSC , ENERGIA , Moscow Region, Korolev (Kaliningrad), 141070, Russian Federation;2. Department of Mathematics and C.S.I.T. , Florida State University , Tallahassee, FL, 32306-4130, USA |
| Abstract: | The uncertainty of temperature prediction from the heat flux error is estimated using first and second order adjoint equations. The adjoint codes developed for the inverse heat transfer problems provide the uncertainty estimation for the corresponding forward problems. Numerical tests corroborate the feasibility of fast uncertainty estimation using Hessian maximum eigenvalue obtained via second order adjoint equations. |
| Keywords: | First Order Adjoint Second Order Adjoint Eigenvalue Heat Conduction Uncertainty Estimation |