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== Abstract ==
 
== Abstract ==
  
<p>In this paper, we investigate the performance of different boundary condition (BC) schemes for curved walls within the framework of the Lattice Boltzmann Method (LBM). A canonical benchmark problem&mdash;the flow past a circular cylinder in a channel&mdash;is considered, with Reynolds numbers ranging from 50 to 300. While prior studies have examined similar configurations, this work provides a novel comparative analysis under realistic conditions&mdash;using dimensional LBM simulations with actual fluid properties and consumer-grade hardware, rather than idealized lattice units. Additionally, we introduce an in-house GPU-accelerated solver, enabling efficient high-fidelity simulations without reliance on specialized computational resources. Four wall boundary conditions&mdash;the standard bounce-back scheme, the non-equilibrium extrapolation scheme, the fictitious equilibrium scheme and a one-point scheme&mdash;are implemented and analyzed through their influence on the time-averaged drag coefficient of the cylinder. The results are compared against both experimental and Navier-Stokes-based numerical data to assess accuracy. Additionally, the study evaluates the relative impact of outlet BC selection on simulation fidelity. The findings show that all tested solid wall boundary schemes can produce reasonable predictions under suitable conditions. Furthermore, based on our results, the accuracy of LBM simulations is notably more sensitive to the choice of the outlet boundary condition when compared to the choice of the ones used at the immersed body.OPEN ACCESS Received: 08/05/2025 Accepted: 24/06/2025 Published: 27/10/2025</p>
+
<p>The umbilical artery (UA) plays a vital role in the exchange of substances
 
+
between the mother and fetus through fetal circulation. In silico computational
 
+
fluid dynamics (CFD) has emerged as an effective tool for simulating
 +
and analyzing UA blood flow, especially when combined with clinical
 +
Doppler ultrasound data. However, most existing studies have applied
 +
CFD to investigate UA hemodynamics only at isolated stages of gestation.
 +
In reality, UA hemodynamics undergoes continuous changes throughout
 +
fetal morphogenesis and physiological development during the entire
 +
gestational period. To address this gap, the present study employs CFD to
 +
investigate the evolution of UA hemodynamics across eight consecutive
 +
gestational age groups: 19, 23, 25, 27, 30, 33, 36, and 39 weeks. The
 +
simulations are based on Doppler ultrasound data acquired from clinical
 +
examinations of fetuses. The results demonstrate that UA blood flow
 +
velocity, secondary helical flow intensity, pressure drop, and wall shear
 +
stress generally increase with advancing gestational age. Furthermore,
 +
statistical analysis of clinical data across different gestational weeks reveals
 +
that the ratio of the Dean number to the Reynolds number (i.e., square
 +
root of the dimensionless curvature) remains basically stable during fetal
 +
development, with a value of 0.57 ± 0.06. This finding offers new insight
 +
into the scaling behavior of UA flow dynamics and may serve as a useful
 +
reference for clinical assessments. Overall, this CFD-based investigation
 +
provides a comprehensive characterization of UA hemodynamic development
 +
and may assist clinicians in gaining a deeper understanding of fetal
 +
circulatory adaptation throughout gestation.</p>
  
 
== Document ==
 
== Document ==
 
<pdf>Media:Draft_Sanchez Pinedo_352319287-3151-document.pdf</pdf>
 
<pdf>Media:Draft_Sanchez Pinedo_352319287-3151-document.pdf</pdf>

Revision as of 11:00, 16 December 2025

Abstract

The umbilical artery (UA) plays a vital role in the exchange of substances between the mother and fetus through fetal circulation. In silico computational fluid dynamics (CFD) has emerged as an effective tool for simulating and analyzing UA blood flow, especially when combined with clinical Doppler ultrasound data. However, most existing studies have applied CFD to investigate UA hemodynamics only at isolated stages of gestation. In reality, UA hemodynamics undergoes continuous changes throughout fetal morphogenesis and physiological development during the entire gestational period. To address this gap, the present study employs CFD to investigate the evolution of UA hemodynamics across eight consecutive gestational age groups: 19, 23, 25, 27, 30, 33, 36, and 39 weeks. The simulations are based on Doppler ultrasound data acquired from clinical examinations of fetuses. The results demonstrate that UA blood flow velocity, secondary helical flow intensity, pressure drop, and wall shear stress generally increase with advancing gestational age. Furthermore, statistical analysis of clinical data across different gestational weeks reveals that the ratio of the Dean number to the Reynolds number (i.e., square root of the dimensionless curvature) remains basically stable during fetal development, with a value of 0.57 ± 0.06. This finding offers new insight into the scaling behavior of UA flow dynamics and may serve as a useful reference for clinical assessments. Overall, this CFD-based investigation provides a comprehensive characterization of UA hemodynamic development and may assist clinicians in gaining a deeper understanding of fetal circulatory adaptation throughout gestation.

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Document information

Published on 15/12/25
Accepted on 10/10/25
Submitted on 04/07/25

Volume 41, Issue 4, 2025
DOI: 10.23967/j.rimni.2025.10.69959
Licence: CC BY-NC-SA license

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