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Dr.-Ing. Martin Spiegel

Alumnus of the Pattern Recognition Lab of the Friedrich-Alexander-Universität Erlangen-Nürnberg

Project Description: Tetrahedral and Polyhedral Mesh Evaluation for Cerebral Hemodynamic Simulation

Computational fluid dynamic (CFD) based on patient-specific medical imaging data has found widespread use for visualizing and quantifying hemodynamics in cerebrovascular disease such as cerebral aneurysms or stenotic vessels. This paper focuses on optimizing mesh parameters for CFD simulation of cerebral aneurysms. Valid blood flow simulations strongly depend on the mesh quality. Meshes with a coarse spatial resolution may lead to an inaccurate flow pattern. Meshes with a large number of elements will result in unnecessarily high computation time which is undesirable should CFD be used for planning in the interventional setting. Most CFD simulations reported for these vascular pathologies have used tetrahedral meshes. We illustrate the use of polyhedral volume elements in comparison to tetrahedral meshing on two different geometries, a sidewall aneurysm of the internal carotid artery and a basilar bifurcation aneurysm. The spatial mesh resolution ranges between 5,119 and 228,118 volume elements. The evaluation of the different meshes was based on the wall shear stress previously identified as a one possible parameter for assessing aneurysm growth. Polyhedral meshes showed better accuracy, lower memory demand, shorter computational speed and faster convergence behavior (on average 369 iterations less). 


Spiegel, Martin; Redel, Thomas; Zhang, Y. Jonathan; Struffert, TobiasHornegger, Joachim; Grossman, Robert; Dörfler, Arnd; Karmonik, Christof
Opens external link in new windowTetrahedral and Polyhedral Mesh Evaluation for Cerebral Hemodynamic Simulation - a Comparison In: He, Bin; Pan, Xiaochuan; Kim, Yongmin; Worrell, Gregory (Eds.)
Multiscale Biomedical Modeling (Proceedings of the 31st Annual International IEEE Engineering in Medicine and Biology Society Minneapolis, MN, USA 2-6 September) Minneapolis   : IEEE 2009, pp. 2787-2790 

Selected References
  1. S. Prakash and C. R. Ethier, "Requirements for mesh resolution in 3d computational hemodynamics.", Journal of Biomechanical Engineering, vol. 123, pp. 134-144, April 2001.

  2. M. Ford, S. Lee, S. Lownie, D. Holdsworth, and D. Steinman, "On the effect of parent-aneurysm angle on flow patterns in basilar tip aneurysms: Towards a surrogate geometric marker of intra-aneurismal hemodynamics.", Journal of Biomechanics, vol. 41, pp. 241-248, 2008.

  3. J. Cebral, M. Castro, J. Burgess, R. Pergolizzi, M. Sheridan, and C. Putman, "Characterization of cerebral aneurysms for assessingrisk of rupture by using patient-specific computational hemodynamics models." American Journal of Neurradiology, vol. 26, pp. 2550-2559, 2005.

  4. C. Karmonik, R. Klucznik, and G. Benndorf, "Blood flow in cerebral aneurysms: comparison of phase contrast magnetic resonance and computational fluid dynamics-preliminary experience.", vol. 180, no. 3, pp. 209-215, 2008.

  5. M. Peric, "Flow simulation using control volumes of arbitrary polyhedral shape", in ERCOFTAC Bulletin, no. 62, September 2004.