Finite Element Pressure Stabilizations for Incompressible Flow Problems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F20%3A10420406" target="_blank" >RIV/00216208:11320/20:10420406 - isvavai.cz</a>
Result on the web
<a href="https://www.springer.com/gp/book/9783030396381" target="_blank" >https://www.springer.com/gp/book/9783030396381</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-39639-8_6" target="_blank" >10.1007/978-3-030-39639-8_6</a>
Alternative languages
Result language
angličtina
Original language name
Finite Element Pressure Stabilizations for Incompressible Flow Problems
Original language description
The simulation of incompressible flow problems with pairs of velocity-pressure finite element spaces that do not satisfy the discrete inf-sup condition requires a so-called pressure stabilization. This chapter provides a survey of available methods which are presented for the Stokes problem to concentrate on the main ideas and to avoid additional difficulties originating from more complicated models. The methods can be divided into residual-based stabilizations and stabilizations that utilize only the pressure. For the first class, a comprehensive numerical analysis is presented, whereas for the second class, the presentation is more concise except for a detailed analysis of a local projection stabilization method. Connections of various pressure stabilizations to inf-sup stable discretizations with velocity spaces enriched by bubble functions are also discussed. Numerical studies compare several of the available pressure stabilizations.
Czech name
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Czech description
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Classification
Type
C - Chapter in a specialist book
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA16-03230S" target="_blank" >GA16-03230S: Thermodynamically consistent models for fluid flows: mathematical theory and numerical solution</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
Fluids Under Pressure
ISBN
978-3-030-39638-1
Number of pages of the result
91
Pages from-to
483-573
Number of pages of the book
652
Publisher name
Birkhäuser
Place of publication
Basel
UT code for WoS chapter
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