A streamline derivative POD-ROM for advection-diffusion-reaction equations*

A streamline derivative POD-ROM for advection-diffusion-reaction equations*

We introduce a new streamline derivative projection-based closure modeling strategy for the numerical stabilization of Proper Orthogonal Decomposition-Reduced Order Models (POD-ROM). As a first preliminary step, the proposed model is analyzed and tested for advection-dominated advection-diffusion-re...

Full description

Bibliographic Details
Main Author: Rubino Samuele
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:ESAIM: Proceedings and Surveys
Online Access:https://doi.org/10.1051/proc/201864121
id doaj-5f0fd49f8fb74c7daefa17eded8ef12b
record_format Article
spelling doaj-5f0fd49f8fb74c7daefa17eded8ef12b2021-07-15T14:17:44ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592018-01-016412113610.1051/proc/201864121proc186409A streamline derivative POD-ROM for advection-diffusion-reaction equations*Rubino SamueleWe introduce a new streamline derivative projection-based closure modeling strategy for the numerical stabilization of Proper Orthogonal Decomposition-Reduced Order Models (POD-ROM). As a first preliminary step, the proposed model is analyzed and tested for advection-dominated advection-diffusion-reaction equations. In this framework, the numerical analysis for the Finite Element (FE) discretization of the proposed new POD-ROM is presented, by mainly deriving the corresponding error estimates. Numerical tests for advection-dominated regime show the effciency of the proposed method, as well the increased accuracy over the standard POD-ROM that discovers its well-known limitations very soon in the numerical settings considered, i.e. for low diffusion coeffcients.https://doi.org/10.1051/proc/201864121
collection DOAJ
language English
format Article
sources DOAJ
author Rubino Samuele
spellingShingle Rubino Samuele
A streamline derivative POD-ROM for advection-diffusion-reaction equations*
ESAIM: Proceedings and Surveys
author_facet Rubino Samuele
author_sort Rubino Samuele
title A streamline derivative POD-ROM for advection-diffusion-reaction equations*
title_short A streamline derivative POD-ROM for advection-diffusion-reaction equations*
title_full A streamline derivative POD-ROM for advection-diffusion-reaction equations*
title_fullStr A streamline derivative POD-ROM for advection-diffusion-reaction equations*
title_full_unstemmed A streamline derivative POD-ROM for advection-diffusion-reaction equations*
title_sort streamline derivative pod-rom for advection-diffusion-reaction equations*
publisher EDP Sciences
series ESAIM: Proceedings and Surveys
issn 2267-3059
publishDate 2018-01-01
description We introduce a new streamline derivative projection-based closure modeling strategy for the numerical stabilization of Proper Orthogonal Decomposition-Reduced Order Models (POD-ROM). As a first preliminary step, the proposed model is analyzed and tested for advection-dominated advection-diffusion-reaction equations. In this framework, the numerical analysis for the Finite Element (FE) discretization of the proposed new POD-ROM is presented, by mainly deriving the corresponding error estimates. Numerical tests for advection-dominated regime show the effciency of the proposed method, as well the increased accuracy over the standard POD-ROM that discovers its well-known limitations very soon in the numerical settings considered, i.e. for low diffusion coeffcients.
url https://doi.org/10.1051/proc/201864121
work_keys_str_mv AT rubinosamuele astreamlinederivativepodromforadvectiondiffusionreactionequations
AT rubinosamuele streamlinederivativepodromforadvectiondiffusionreactionequations
_version_ 1721300135532560384

Similar Items