Fast numerical method for blood flow simulation in three-dimensional arterial trees
Luis Alonso Mansilla Alvarez1; Pablo Javier Blanco1; Raúl Antonino Feijóo1
1 National Laboratory of Scientific Computing
doi:10.20906/CPS/CILAMCE2017-0217
Resumo
In the last decades, the role of the computational hemodynamics in the prognosis and diagnosis of cardiovascular diseases has become fundamental due the large evidence of the correlation between flow-related quantities (as velocity, pressure, wall shear stress among others) and the localization and onset of these problems. These promising capacities are still limited for massive usage in the daily medical practice due the trade-off between the quantity/quality of information provided by the current methodologies and their computational cost (in terms of time and resources). Classical examples of this are the cheap one-dimensional models, incapable to provide insight about wall shear stresses, and the full 3D models which, even delivering very detailed information of the dynamic, their use at the scale of the whole cardiovascular system is still prohibitive due to their large computational cost. This context motivated the search for new methodologies capable to provide clinically relevant information at a reduced computational cost. In this work we explore the Transversally Enriched Pipe Element Method, introduced in [1], as a novel methodology specifically tailored to yield hemodicamically relevant information at a fraction of the cost of full 3D simulations. Simulations in some arterial regions demonstrate the capacities in terms of accuracy and the gain in computational efficiency (time and resources) against a classical FEM approach. [1] Mansilla Alvarez, L. A., Blanco, P. J., Bulant, C. A., Dari, E. A., Veneziani, A., Feijóo, R.A. (2016). Transversally Enriched Pipe Element Method (TEPEM). An effective numerical approach for blood flow modeling. International Journal for Numerical Methods in Biomedical Engineering. DOI: 10.1002/cnm.2808
Palavras-chave: Hemodynamics; TEPEM; Model order reduction; Finite Element Method