Selected aspects of blood flow simulations in arteries

This article discusses selected aspects of modelling blood flow in the arteries. The method of reproducing the variable-intime geometry of coronary arteries is given based on a sequence of medical images of different resolutions. Within the defined shapes of the arteries, a technique of generation of numerical meshes of the same topology is described. The boundary conditions and non-Newtonian rheological models used in blood flow are discussed, as well as the description of blood as a multiphase medium. The work also includes a discussion of tests on the phantom of the carotid artery for the accuracy of measurements made using ultrasonography.

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1. The research leading to these results is funded by the Norwegian Financial Mechanism 2014-2021 operated by the National Science Center, PL (NCN) within GRIEG program under grant #UMO2019/34/H/ST8/00624, project (ENTHRAL), and by the National Science Center within OPUS scheme under contract 2017/27/B/ST8/01046, and by Ministry of Education and Sci-ence (Poland) under statutory research funds of the Faculty of Energy and Environmental Engineering of SUT under contract BK-252/RIE6/2023 08/060/BK_23/1096.

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2. Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).