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Intrusive Polynomial Chaos for CFD Using OpenFOAM
We present the formulation and implementation of a stochastic Computational Fluid Dynamics (CFD) solver based on the widely used finite volume library - OpenFOAM. The solver employs Generalized Polynomial Chaos (gPC) expansion to (a) quantify the uncertainties associated with the fluid flow simulati...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
2020
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7304746/ http://dx.doi.org/10.1007/978-3-030-50436-6_50 |
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author | Parekh, Jigar Verstappen, Roel |
author_facet | Parekh, Jigar Verstappen, Roel |
author_sort | Parekh, Jigar |
collection | PubMed |
description | We present the formulation and implementation of a stochastic Computational Fluid Dynamics (CFD) solver based on the widely used finite volume library - OpenFOAM. The solver employs Generalized Polynomial Chaos (gPC) expansion to (a) quantify the uncertainties associated with the fluid flow simulations, and (b) study the non-linear propagation of these uncertainties. The aim is to accurately estimate the uncertainty in the result of a CFD simulation at a lower computational cost than the standard Monte Carlo (MC) method. The gPC approach is based on the spectral decomposition of the random variables in terms of basis polynomials containing randomness and the unknown deterministic expansion coefficients. As opposed to the mostly used non-intrusive approach, in this work, we use the intrusive variant of the gPC method in the sense that the deterministic equations are modified to directly solve for the (coupled) expansion coefficients. To this end, we have tested the intrusive gPC implementation for both the laminar and the turbulent flow problems in CFD. The results are in accordance with the analytical and the non-intrusive approaches. The stochastic solver thus developed, can serve as an alternative to perform uncertainty quantification, especially when the non-intrusive methods are significantly expensive, which is mostly true for a lot of stochastic CFD problems. |
format | Online Article Text |
id | pubmed-7304746 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2020 |
record_format | MEDLINE/PubMed |
spelling | pubmed-73047462020-06-22 Intrusive Polynomial Chaos for CFD Using OpenFOAM Parekh, Jigar Verstappen, Roel Computational Science – ICCS 2020 Article We present the formulation and implementation of a stochastic Computational Fluid Dynamics (CFD) solver based on the widely used finite volume library - OpenFOAM. The solver employs Generalized Polynomial Chaos (gPC) expansion to (a) quantify the uncertainties associated with the fluid flow simulations, and (b) study the non-linear propagation of these uncertainties. The aim is to accurately estimate the uncertainty in the result of a CFD simulation at a lower computational cost than the standard Monte Carlo (MC) method. The gPC approach is based on the spectral decomposition of the random variables in terms of basis polynomials containing randomness and the unknown deterministic expansion coefficients. As opposed to the mostly used non-intrusive approach, in this work, we use the intrusive variant of the gPC method in the sense that the deterministic equations are modified to directly solve for the (coupled) expansion coefficients. To this end, we have tested the intrusive gPC implementation for both the laminar and the turbulent flow problems in CFD. The results are in accordance with the analytical and the non-intrusive approaches. The stochastic solver thus developed, can serve as an alternative to perform uncertainty quantification, especially when the non-intrusive methods are significantly expensive, which is mostly true for a lot of stochastic CFD problems. 2020-05-25 /pmc/articles/PMC7304746/ http://dx.doi.org/10.1007/978-3-030-50436-6_50 Text en © Springer Nature Switzerland AG 2020 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic. |
spellingShingle | Article Parekh, Jigar Verstappen, Roel Intrusive Polynomial Chaos for CFD Using OpenFOAM |
title | Intrusive Polynomial Chaos for CFD Using OpenFOAM |
title_full | Intrusive Polynomial Chaos for CFD Using OpenFOAM |
title_fullStr | Intrusive Polynomial Chaos for CFD Using OpenFOAM |
title_full_unstemmed | Intrusive Polynomial Chaos for CFD Using OpenFOAM |
title_short | Intrusive Polynomial Chaos for CFD Using OpenFOAM |
title_sort | intrusive polynomial chaos for cfd using openfoam |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7304746/ http://dx.doi.org/10.1007/978-3-030-50436-6_50 |
work_keys_str_mv | AT parekhjigar intrusivepolynomialchaosforcfdusingopenfoam AT verstappenroel intrusivepolynomialchaosforcfdusingopenfoam |