Local projection stabilization for linearized Brinkman-Forchheimer-Darcy equation

Piotr Skrzypacz

doi:10.1063/1.5000664

Local projection stabilization for linearized Brinkman-Forchheimer-Darcy equation

Piotr Skrzypacz

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English
Title of host publication	International Conference "Functional Analysis In Interdisciplinary Applications", FAIA 2017
Publisher	American Institute of Physics Inc.
Volume	1880
ISBN (Electronic)	9780735415607
DOIs	https://doi.org/10.1063/1.5000664
Publication status	Published - Sep 11 2017
Event	International Conference on Functional Analysis In Interdisciplinary Applications, FAIA 2017 - Astana, Kazakhstan Duration: Oct 2 2017 → Oct 5 2017

Conference

Conference	International Conference on Functional Analysis In Interdisciplinary Applications, FAIA 2017
Country	Kazakhstan
City	Astana
Period	10/2/17 → 10/5/17

ASJC Scopus subject areas

Physics and Astronomy(all)

Access to Document

10.1063/1.5000664

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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., International Conference on Functional Analysis In Interdisciplinary Applications, FAIA 2017, Astana, Kazakhstan, 10/2/17. https://doi.org/10.1063/1.5000664

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AB - 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.

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