Numerical stabilization of Oldroyd-B fluids flows using local artificial diffusion

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00635716" target="_blank" >RIV/67985840:_____/25:00635716 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-031-86169-7_27" target="_blank" >http://dx.doi.org/10.1007/978-3-031-86169-7_27</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-031-86169-7_27" target="_blank" >10.1007/978-3-031-86169-7_27</a>

Result language
angličtina
Original language name
Numerical stabilization of Oldroyd-B fluids flows using local artificial diffusion
Original language description
Despite great advances in stabilizing the numerical simulation of viscoelastic fluid flows at high Weissenberg numbers, this remains a major challenge for researchers. The breakdown of numerical algorithms, known as HWNP (High Weissenberg Number Problem), has often been associated with steep stress gradients in narrow regions of the flow domain. One of the consequences of the HWNP is the loss of the positive definiteness of the symmetric molecular strain tensor at the continuum level, which is in viscoelastic fluids represented by the conformation tensor. To stabilize the numerical simulation, algorithms often focus on introducing accurate and smooth interpolation of velocity gradients in the solution of the constitutive equation. In this work, numerical tests are presented, demonstrating the HWNP problem and its possible cure based on the stabilization method employing addition of a local (in space) artificial stress diffusion term to the transport equations. The problem and corresponding solution methods are demonstrated on a case of flow in a two-dimensional corrugated channel for a range of Weissenberg number, showing where and how the positive definiteness of the conformation tensor can be violated.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Numerical Mathematics and Advanced Applications ENUMATH 2023
ISBN
978-3-031-86168-0
ISSN
1439-7358
e-ISSN
2197-7100
Number of pages
11
Pages from-to
262-272
Publisher name
Springer
Place of publication
Cham
Event location
Lisbon
Event date
Sep 4, 2023
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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