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Volumetric lattice Boltzmann method for wall stresses of image-based pulsatile flows
Xiaoyu Zhang1, Joan Gomez-Paz2, Xi Chen1
1Department of Mechanical and Energy Engineering, Indiana University-Purdue University, Indianapolis (IUPUI), Indianapolis, IN, 46202, USA.
A new computational platform integrates image data with the volumetric lattice Boltzmann method (VLBM) to accurately compute wall stresses in pulsatile flows. This tool enhances image-based computational fluid dynamics (CFD) for medical and engineering applications.
Area of Science:
- Fluid Dynamics
- Computational Science
- Biomedical Engineering
Background:
- Image-based computational fluid dynamics (CFD) is crucial for analyzing pulsatile flows.
- Existing methods for determining wall stresses from images are often manual, laborious, and prone to errors.
- A direct computational link between image data and pulsatile wall stress analysis is currently lacking.
Purpose of the Study:
- To present a novel computational platform for computing wall stresses in image-based pulsatile flows.
- To seamlessly integrate image processing with the volumetric lattice Boltzmann method (VLBM).
- To demonstrate the platform's reliability and applicability in benchmark and application studies.
Main Methods:
- Development of a unique image processing technique to extract flow domains and local wall normality.
- Implementation of a seamless workflow connecting image extraction to the volumetric lattice Boltzmann method (VLBM).
- En-route calculation of the strain-rate tensor within the VLBM framework.
Main Results:
- Validated the platform using benchmark studies of laminar and turbulent pulsatile flows in image-based pipes (Re: 10-5000).
- Achieved good agreement between computed pulsatile velocity/shear stress and analytical/experimental data.
- Demonstrated applicability in quantifying pulsatile hemodynamics in human vertebral and carotid arteries, with velocity fields matching MRA data.
Conclusions:
- The developed computational platform effectively computes wall stresses in image-based pulsatile flows.
- This tool offers a reliable and efficient solution for image-based CFD, particularly for medical applications like hemodynamics.
- The platform is also suitable for pore-scale porous media flow analysis in diverse natural and engineering systems.
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