Reducing the impact of geometric errors in flow computations using velocity measurements

David Nolte, Cristóbal Bertoglio*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

3 Citations (Scopus)
150 Downloads (Pure)

Abstract

Numerical blood flow simulations are typically set up from anatomical medical images and calibrated using velocity measurements. However, the accuracy of the computational geometry itself is limited by the resolution of the anatomical image. We first show that applying standard no-slip boundary conditions on inaccurately extracted boundaries can cause large errors in the results, in particular the pressure gradient. In this work, we therefore propose to augment the flow model calibration by slip/transpiration boundary conditions, whose parameters are then estimated using velocity measurements. Numerical experiments show that this methodology can considerably improve the accuracy of the estimated pressure gradients and 3D velocity fields when the vessel geometry is uncertain.
Original languageEnglish
Article numbere3203
Number of pages19
JournalInternational journal for numerical methods in biomedical engineering
Volume35
Issue number6
Early online date1-Apr-2019
DOIs
Publication statusPublished - Jun-2019

Keywords

  • DATA ASSIMILATION PROCEDURE
  • NAVIER-STOKES EQUATIONS
  • UNCERTAINTY QUANTIFICATION
  • PARAMETER-IDENTIFICATION
  • BOUNDARY-CONDITIONS
  • SIMULATIONS
  • MODELS
  • FRICTION
  • STEP
  • SLIP

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