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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Numerical Mathematics and Advanced Applications ENUMATH 2023

ISBN

978-3-031-86168-0

ISSN

1439-7358

e-ISSN

2197-7100

Počet stran výsledku

11

Strana od-do

262-272

Název nakladatele

Springer

Místo vydání

Cham

Místo konání akce

Lisbon

Datum konání akce

4. 9. 2023

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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