Calculation of Uncertainty Propagation using Adjoint Equations

Abstract

The uncertainty of flow parameters depending on the error of input data (initial, boundary conditions, coefficients) may be efficiently calculated using adjoint equations. This approach is extremely effective for uncertainty estimation at certain checkpoints because it requires only a single (adjoint) system of equations to be solved in addition to the system describing the flow-field. The fields of adjoint “temperature”, adjoint “density”, etc. are then used to calculate the transfer of uncertainty from all input data.