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 | |
| 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 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Local projection stabilization for linearized Brinkman-Forchheimer-Darcy equation. / Skrzypacz, Piotr.
International Conference "Functional Analysis In Interdisciplinary Applications", FAIA 2017. Vol. 1880 American Institute of Physics Inc., 2017. 060010.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
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TY - GEN
T1 - Local projection stabilization for linearized Brinkman-Forchheimer-Darcy equation
AU - Skrzypacz, Piotr
PY - 2017/9/11
Y1 - 2017/9/11
N2 - 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.
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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UR - http://www.scopus.com/inward/citedby.url?scp=85029825291&partnerID=8YFLogxK
U2 - 10.1063/1.5000664
DO - 10.1063/1.5000664
M3 - Conference contribution
VL - 1880
BT - International Conference "Functional Analysis In Interdisciplinary Applications", FAIA 2017
PB - American Institute of Physics Inc.
ER -