Bayesian Richardson Extrapolation Data from Re 180

This work provides a systematic and unified approach for estimating sampling and discretization errors. First, a sampling error estimator that accounts for correlation in the input data is developed. Then, this sampling error estimate is used as part of a probabilistic extension of Richardson extrapolation in order to characterize the discretization error.

This page is a supplement to the 2014 Physics of Fluids paper, "Estimating uncertainties in statistics computed from direct numerical simulation", by Todd A. Oliver, Nicholas Malaya, Rhys Ulerich and Robert D. Moser, Phys. Fluids 26, 035101 (2014), DOI: 10.1063/1.4866813.

All of the data used in the Bayesian Richardson extrapolation, including computed statistics and estimated sampling error, is available here:

  • Small Domain
  • Large Domain
  • Tarball (all_files)
  • Contact the Authors

  • Todd A. Oliver

  • Nicholas Malaya

  • Rhys Ulerich

  • Robert D. Moser