Mathematical formulation

M. Carnevale; R. Ahlfeld

doi:10.1007/978-3-319-92943-9_3

Mathematical formulation

M. Carnevale, R. Ahlfeld

Department of Mechanical Engineering

Research output: Chapter or section in a book/report/conference proceeding › Chapter or section

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Abstract

The overall goal of this chapter is to highlight the mathematical framework useful to carry out an uncertainty quantification study. The chapter starts with some basic definition of probability, explains non-intrusive Polynomial Chaos methods and, at the end, shows some more advanced techniques used today. The chapter shows an overview of all the most common techniques that have been used in UQ for CFD and there is the presentation of new ideas that will become more common in the coming years. There is a clear trend from bespoke solution towards more automatic UQ methods.

Original language	English
Title of host publication	Uncertainty Quantification in Computational Fluid Dynamics and Aircraft Engines
Publisher	Springer International Publishing
Pages	67-155
Number of pages	89
Edition	2
ISBN (Electronic)	9783319929439
ISBN (Print)	9783319929422
DOIs	https://doi.org/10.1007/978-3-319-92943-9_3
Publication status	Published - 22 Jun 2018

ASJC Scopus subject areas

General Engineering

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10.1007/978-3-319-92943-9_3

Cite this

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Mathematical formulation

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ASJC Scopus subject areas

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