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Local projection stabilization for linearized Brinkman-Forchheimer-Darcy equation

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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
EditorsTynysbek Kal'menov, Makhmud Sadybekov
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735415607
DOIs
Publication statusPublished - Sept 11 2017
EventInternational Conference on Functional Analysis In Interdisciplinary Applications, FAIA 2017 - Astana, Kazakhstan
Duration: Oct 2 2017Oct 5 2017

Publication series

NameAIP Conference Proceedings
Volume1880
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

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

ASJC Scopus subject areas

  • General Physics and Astronomy

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