On Estimation of Temperature Uncertainty Using the Second Order Adjoint Problem

A.K Alekseev, M.I. Navon

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.