Quality open source mesh generation for cardiovascular flow simulations
(2012) Modeling of Physiological Flows — ISBN: [978-88-470-1934-8], 414 p., published
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- In recent years, the relationship between hemodynamic factors and arterial diseases has attracted numer-ous investigators to study arterial blood flow and wall shear stress patterns through numerical simulations of the cardiovascular system. The outcome of the numerical simulation will help in surgical planning, in which patient-specific anatomic and physiologic information can be used to predict changes in blood flow for alternative surgical procedures. Interesting challenges arise in blood flow simulations due to the transient and non-linear nature of the problem involving complex 3D geometries. Finite element methods provide a viable option for understanding the complex nature of blood flow and for obtaining relevant flow quantities. However, the accuracy and the efficiency of the numerical method both highly depend on the quality of the mesh describing the complex 3D cardiovascular geometry. While many commercial packages offer mesh generation options, these depend on high quality input, which is rarely available when depending on image segmentation results (often an stl triangulation). In this paper we first propose an efficient approach for recovering a high quality surface mesh from a low quality input (STL triangulation). The technique is based on discrete finite element harmonic maps [2,3,4] with appropriate boundary conditions and a cubic smoothing of the geometry [1,6]. We discuss and compare different types of harmonic mappings going from the convex combination map, to the Laplacian harmonic map and the conformal map. The overall procedure is implemented in the open-source mesh generator Gmsh (www.gmsh.geuz.org). Quality open source mesh generation for cardiovascular flow simulations (PDF Download Available). Available from: https://www.researchgate.net/publication/235764201_Quality_open_source_mesh_generation_for_cardiovascular_flow_simulations [accessed Mar 22, 2016].
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Marchandise, E., Crosetto, P., Geuzaine, C., Remacle, J.-F., & Sauvage, E. (2012). Quality open source mesh generation for cardiovascular flow simulations. In Davide Ambrosi, Alfio Quarteroni, Gianluigi Rozza (Eds.) (ed.), Modeling of Physiological Flows (p. 414 p.). Springer Italia Srl. https://doi.org/10.1007/978-88-470-1935-5_13