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Such simulations are performed on volumetric meshes reconstructed from patient-specific imaging data. These meshes are most often unstructured, and result in a brutally large amount of elements, significantly increasing the computational complexity of the simulations, whilst potentially adversely affecting their accuracy. To reduce such complexity, we introduce a new approach for fully automatic generation of higher-order, structured hexahedral meshes of tubular structures, with a focus on healthy blood vessels. The structures are modeled as skeleton-based convolution surfaces. From the same skeleton, the topology is captured by a block-structure, and the geometry by a higher-order surface mesh. Grading may be induced to obtain tailored refinement, thus resolving, e.g., boundary layers. The volumetric meshing is then performed via transfinite mappings. The resulting meshes are of arbitrary order, their elements are of good quality, while the spatial resolution may be as coarse as needed, greatly reducing computing time. Their suitability for practical applications is showcased by a simulation of physiological blood flow modelled by a generalised Newtonian fluid in the human aorta.<\/jats:p>","DOI":"10.1007\/s00366-023-01834-7","type":"journal-article","created":{"date-parts":[[2023,5,16]],"date-time":"2023-05-16T11:02:15Z","timestamp":1684234935000},"page":"931-951","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Higher-order block-structured hex meshing of tubular structures"],"prefix":"10.1007","volume":"40","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1225-5652","authenticated-orcid":false,"given":"Domagoj","family":"Bo\u0161njak","sequence":"first","affiliation":[]},{"given":"Antonio","family":"Pepe","sequence":"additional","affiliation":[]},{"given":"Richard","family":"Schussnig","sequence":"additional","affiliation":[]},{"given":"Dieter","family":"Schmalstieg","sequence":"additional","affiliation":[]},{"given":"Thomas-Peter","family":"Fries","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,5,16]]},"reference":[{"issue":"5","key":"1834_CR1","doi-asserted-by":"publisher","first-page":"1607","DOI":"10.1007\/s10237-020-01294-8","volume":"19","author":"K B\u00e4umler","year":"2020","unstructured":"B\u00e4umler K, Vedula V, Sailer AM, Seo J, Chiu P, Mistelbauer G, Chan FP, Fischbein MP, Marsden AL, Fleischmann D (2020) Fluid\u2013structure interaction simulations of patient-specific aortic dissection. 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