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A unified method for estimating pressure losses at vascular junctions.
Jonathan P Mynard1,2,3, Kristian Valen-Sendstad1,4
1Biomedical Simulation Laboratory, Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, ON, Canada.
A new Unified0D method accurately estimates pressure losses in blood and respiratory flow models at junctions. This approach avoids unrealistic waveform discontinuities, improving simulations of pulsatile, multi-directional flows.
Area of Science:
- Biomedical Engineering
- Fluid Dynamics
- Computational Modeling
Background:
- Reduced-order (0D/1D) models often neglect junctional pressure losses in physiological flow simulations.
- Existing empirical methods for estimating these losses are geometry-specific and can cause discontinuities in pulsatile flow simulations.
Purpose of the Study:
- To develop a unified method (Unified0D) for estimating pressure loss coefficients at any junction geometry and flow regime.
- To ensure smooth transitions in simulated haemodynamic waveforms during pulsatile, multi-directional flows.
Main Methods:
- Extended Bassett et al.'s control volume method with a 'pseudodatum' supplier branch.
- Incorporated empirical methods to account for energy exchange between diverging flow streams.
- Validated the Unified0D formulation using high-resolution computational fluid dynamics.
Main Results:
- The Unified0D method accurately estimates loss coefficients across various flow conditions and junction configurations.
- High-resolution CFD validation confirmed the formulation's efficacy.
- A 1D simulation demonstrated smooth transitions in calculated pressure losses, even with regime changes.
Conclusions:
- The Unified0D method provides a robust and versatile approach for modeling junctional pressure losses in reduced-order physiological flow models.
- This unified method enhances the accuracy and realism of haemodynamic waveform simulations, particularly in complex flow scenarios.
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