Tetrahedral and polyhedral mesh evaluation for cerebral hemodynamic simulation--a comparison.
Martin Spiegel1, Thomas Redel, Y Zhang
1Friedrich-Alexander University Erlangen-Nuremberg (FAU), Department of Computer Science, Germany. martin.spiegel@informatik.uni-erlangen.de
Summary
Polyhedral meshes improve computational fluid dynamic (CFD) simulations for cerebral aneurysms by offering better accuracy and efficiency than tetrahedral meshes. This optimization is crucial for reliable hemodynamic analysis and interventional planning.
Area of Science:
- Biomedical Engineering
- Medical Imaging Analysis
- Computational Fluid Dynamics
Background:
- Patient-specific computational fluid dynamics (CFD) is vital for analyzing hemodynamics in cerebrovascular diseases like cerebral aneurysms.
- Accurate CFD simulations depend heavily on mesh quality, impacting flow pattern visualization and quantification.
- Tetrahedral meshes are commonly used, but optimizing parameters is essential for efficient and accurate simulations.
Purpose of the Study:
- To optimize mesh parameters for CFD simulations of cerebral aneurysms.
- To compare the performance of polyhedral volume elements against traditional tetrahedral meshes.
- To evaluate mesh impact on hemodynamic parameters like wall shear stress.
Main Methods:
- CFD simulations were performed on two cerebral aneurysm geometries (internal carotid artery sidewall and basilar bifurcation).
- Tetrahedral and polyhedral volume elements were used, with mesh resolutions ranging from 5,119 to 228,118 elements.
- Mesh performance was evaluated based on accuracy, memory demand, computational speed, and convergence, focusing on wall shear stress.
Main Results:
- Polyhedral meshes demonstrated superior accuracy in CFD simulations of cerebral aneurysms compared to tetrahedral meshes.
- Polyhedral meshes exhibited lower memory requirements and faster computational speeds.
- Faster convergence was observed with polyhedral meshes, requiring an average of 369 fewer iterations.
Conclusions:
- Polyhedral meshes offer significant advantages over tetrahedral meshes for CFD simulations of cerebral aneurysms.
- Optimized meshing with polyhedral elements enhances simulation accuracy, reduces computational cost, and improves convergence.
- These findings support the use of polyhedral meshes for more efficient and reliable hemodynamic analysis in cerebrovascular disease research and clinical applications.
