Polynomial chaos for uncertainty quantification in flow simulations for metrological applications

摘要

One goal in metrology is the determination of measurement uncertainties. Also under industrial, non-ideal conditions, one has to ensure that the measurement devices work within the prescribed tolerances. The occuring disturbances can be modeled as random variables. Their influence on the output of interest can be determined by means of the generalized polynomial chaos method, which was developed for the use in computationally expensive systems. This approach allows the efficient calculation of the expected deviations as well as their variance. In this contribution, the method is applied to two problems from flow measurement instrumentation, where turbulent flows are modeled by means of the Reynolds-averaged Navier-Stokes equations.