OXFORD UNIVERSITY  COMPUTING LABORATORY

Literature Survey

Over the last few years a lot of work has been done in the area of uncertainty quantification and propagation in the field of Computational Fluid Mechanics. Before embarking on the study of these issues some discussion on nomenclature is warranted. As defined by AIAA,:
  1. Error: A recognizable deficiencyin any phase or activity of modeling an simulation that is not due to lack of knowledge.
  2. Uncertainty: A potential deficiency in any phase or activity of the modelling process that is due to lack of knowledge.
Uncertainty can be further categorized as aleatoric (inherent uncertainty) and epistemic (model uncertainty). Examples of aleatoric uncertainty are operating conditions and geometric uncertainty (manufacturing errors).  Various coefficients in the turbulence models and properties of fluids are epistemic uncertainties. Simpliefied fluid models and the reduced number of parameters used to represent the flow also classifies as epistemic uncertainty. These webpages are looking at aleatoric uncertainty quantification and propagation, in particular, the  geometric uncertainty arrising out of manufacturing errors. Literature survey aims at the following areas:
  1. Uncertainty Quantification Methods
  2. Uncertainty Propagation Methods
  3. Industry Requirements

All the publications referrred by us can be found here.
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