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Determination of Navier's slip parameter using data assimilation

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10484906" target="_blank" >RIV/00216208:11320/25:10484906 - isvavai.cz</a>

  • Result on the web

    <a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=Zivvbruux2" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=Zivvbruux2</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.amc.2024.129157" target="_blank" >10.1016/j.amc.2024.129157</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Determination of Navier's slip parameter using data assimilation

  • Original language description

    One of the crucial aspects of patient-specific blood flow simulations is to specify material parameters and boundary conditions. The choice of boundary conditions can have a substantial impact on the character of the flow. While no-slip is the most popular wall boundary condition, some amount of slip, which determines how much fluid is allowed to flow along the wall, might be beneficial for better agreement with flow patterns in medical images. However, even if one assumes the simple Navier&apos;s boundary conditions on the wall, in which the relationship between tangential components of the normal traction and the velocity is linear, the determination of the specific value of the slip parameter is often difficult.In this work, we present and test an optimal control method to estimate Navier&apos;s slip parameter on the wall and the velocity profile at the inlet using artificially generated flow domain and flow data. The results show that it is possible to recover the flow patterns and Navier&apos;s slip parameter by using sufficiently accurate discretization even from data containing a substantial amount of noise.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

    <a href="/en/project/GA23-05207S" target="_blank" >GA23-05207S: Development of reliable computational tools adequate for the study of fluid-structure interactions, with special relevance to cardiovascular problems</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2025

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Applied Mathematics and Computation

  • ISSN

    0096-3003

  • e-ISSN

    1873-5649

  • Volume of the periodical

    Neuveden

  • Issue of the periodical within the volume

    489

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    20

  • Pages from-to

    nestránkováno

  • UT code for WoS article

    001351331800001

  • EID of the result in the Scopus database

    2-s2.0-85208060883