Local projection stabilization for linearized Brinkman-Forchheimer-Darcy equation

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Abstract

The Local Projection Stabilization (LPS) is presented for the linearized Brinkman-Forchheimer-Darcy equation with high Reynolds numbers. The considered equation can be used to model porous medium flows in chemical reactors of packed bed type. The detailed finite element analysis is presented for the case of nonconstant porosity. The enriched variant of LPS is based on the equal order interpolation for the velocity and pressure. The optimal error bounds for the velocity and pressure errors are justified numerically.

Original languageEnglish
Title of host publicationInternational Conference "Functional Analysis In Interdisciplinary Applications", FAIA 2017
PublisherAmerican Institute of Physics Inc.
Volume1880
ISBN (Electronic)9780735415607
DOIs
Publication statusPublished - Sep 11 2017
EventInternational Conference on Functional Analysis In Interdisciplinary Applications, FAIA 2017 - Astana, Kazakhstan
Duration: Oct 2 2017Oct 5 2017

Conference

ConferenceInternational Conference on Functional Analysis In Interdisciplinary Applications, FAIA 2017
CountryKazakhstan
CityAstana
Period10/2/1710/5/17

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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  • Cite this

    Skrzypacz, P. (2017). Local projection stabilization for linearized Brinkman-Forchheimer-Darcy equation. In International Conference "Functional Analysis In Interdisciplinary Applications", FAIA 2017 (Vol. 1880). [060010] American Institute of Physics Inc.. https://doi.org/10.1063/1.5000664