Mathematical formulation

M. Carnevale, R. Ahlfeld

Research output: Chapter in Book/Report/Conference proceedingChapter

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 languageEnglish
Title of host publicationUncertainty Quantification in Computational Fluid Dynamics and Aircraft Engines
PublisherSpringer International Publishing
Pages67-155
Number of pages89
Edition2
ISBN (Electronic)9783319929439
ISBN (Print)9783319929422
DOIs
Publication statusPublished - 22 Jun 2018

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Carnevale, M., & Ahlfeld, R. (2018). Mathematical formulation. In Uncertainty Quantification in Computational Fluid Dynamics and Aircraft Engines (2 ed., pp. 67-155). Springer International Publishing. https://doi.org/10.1007/978-3-319-92943-9_3

Mathematical formulation. / Carnevale, M.; Ahlfeld, R.

Uncertainty Quantification in Computational Fluid Dynamics and Aircraft Engines. 2. ed. Springer International Publishing, 2018. p. 67-155.

Research output: Chapter in Book/Report/Conference proceedingChapter

Carnevale, M & Ahlfeld, R 2018, Mathematical formulation. in Uncertainty Quantification in Computational Fluid Dynamics and Aircraft Engines. 2 edn, Springer International Publishing, pp. 67-155. https://doi.org/10.1007/978-3-319-92943-9_3
Carnevale M, Ahlfeld R. Mathematical formulation. In Uncertainty Quantification in Computational Fluid Dynamics and Aircraft Engines. 2 ed. Springer International Publishing. 2018. p. 67-155 https://doi.org/10.1007/978-3-319-92943-9_3
Carnevale, M. ; Ahlfeld, R. / Mathematical formulation. Uncertainty Quantification in Computational Fluid Dynamics and Aircraft Engines. 2. ed. Springer International Publishing, 2018. pp. 67-155
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