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Modeling hemodynamics in vascular networks using a geometrical multiscale approach: numerical aspects
Liesbeth Taelman1, Joris Degroote, Pascal Verdonck
1IBiTech-bioMMeda, Faculty of Engineering and Architecture, Ghent University, De Pintelaan 185, 9000 Ghent, Belgium. Liesbeth.Taelman@UGent.be
Geometrical multiscale modeling couples detailed 3D models with simplified 1D/0D models for circulatory system analysis. This approach addresses complex interactions and provides insights into blood flow dynamics across different scales.
Area of Science:
- Computational fluid dynamics
- Biomedical engineering
- Mathematical modeling
Background:
- The circulatory system's complexity necessitates compartment-specific models with varying spatial assumptions.
- Interactions between circulatory compartments require integrated, not isolated, modeling approaches.
Purpose of the Study:
- To review geometrical multiscale modeling techniques coupling 3D, 1D, and 0D models.
- To highlight the challenges and potential applications of these coupled models in circulatory research.
Main Methods:
- Coupling high-fidelity 3D models with reduced-order 1D and 0D models.
- Addressing challenges in boundary condition assignment and robust coupling algorithms for partitioned solvers.
Main Results:
- Enables detailed flow field analysis in specific regions while considering global circulation.
- Illustrates the potential of integrated 3D-1D-0D models through various applications.
Conclusions:
- Geometrical multiscale modeling offers a powerful framework for studying the circulatory system.
- Overcoming coupling challenges is key to unlocking the full potential of these hybrid models.
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