HIERARCHICAL MODEL REDUCTION DRIVEN BY A PROPER ORTHOGONAL DECOMPOSITION FOR PARAMETRIZED ADVECTION-DIFFUSION-REACTION PROBLEMS

Massimiliano Lupo Pasini; Simona Perotto

doi:10.1553/etna_vol55s187

HIERARCHICAL MODEL REDUCTION DRIVEN BY A PROPER ORTHOGONAL DECOMPOSITION FOR PARAMETRIZED ADVECTION-DIFFUSION-REACTION PROBLEMS

Massimiliano Lupo Pasini, Simona Perotto

Computational Coupled Physics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

This work combines the Hierarchical Model (HiMod) reduction technique with a standard Proper Orthogonal Decomposition (POD) to solve parametrized partial differential equations for the modeling of advectiondiffusion- reaction phenomena in elongated domains (e.g., pipes). This combination leads to what we define as HiPOD model reduction, which merges the reliability of HiMod reduction with the computational efficiency of POD. Two HiPOD techniques are presented and assessed by an extensive numerical verification.

Original language	English
Pages (from-to)	187-212
Number of pages	26
Journal	Electronic Transactions on Numerical Analysis
Volume	55
DOIs	https://doi.org/10.1553/etna_vol55s187
State	Published - 2021

Funding

∗Received May 3, 2021. Accepted November 11, 2021. Published online on December 17, 2021. Recommended by Roland Herzog. This manuscript has been authored in part by UT-Battelle, LLC, under contract DE-AC05-00OR22725 with the US Department of Energy (DOE). The US government retains and the publisher, by accepting the article for publication, acknowledges that the US government retains a nonexclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this manuscript, or allow others to do so, for US government purposes. DOE will provide public access to these results of federally sponsored research in accordance with the DOE Public Access Plan (http://energy.gov/downloads/doe-public-access-plan). The second author acknowledges the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Actions, grant agreement 872442 (ARIA, Accurate Roms for Industrial Applications) and the research project GNCS-INdAM 2020 “Tecniche Numeriche Avanzate per Applicazioni Industriali”. Acknowledgements. This work used resources of the Oak Ridge Leadership Computing Facility (OLCF), which is a DOE Office of Science User Facility supported under Contract DE-AC05-00OR22725.

Funders	Funder number
U.S. Department of Energy
Office of Science	DE-AC05-00OR22725
Horizon 2020 Framework Programme
H2020 Marie Skłodowska-Curie Actions	872442

Keywords

Finite elements
Hierarchical model reduction
Parametric partial differential equations
Proper orthogonal decomposition
Spectral methods

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10.1553/etna_vol55s187

Cite this

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HIERARCHICAL MODEL REDUCTION DRIVEN BY A PROPER ORTHOGONAL DECOMPOSITION FOR PARAMETRIZED ADVECTION-DIFFUSION-REACTION PROBLEMS

Abstract

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Keywords

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