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An Explicit and Non-Iterative Moving-Least-Squares Immersed-Boundary Method and Its Applications in the Aorta Hemodynamics with Type B Intramural Hematoma
Wenyuan Chen1, Tao Zhang2, Yantao Yang1,*
1 State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Engineering Science, College
of Engineering, Peking University, Beijing, 100871, China
2 Vascular Surgery Department, Peking University People’s Hospital, Beijing, 100044, China
* Corresponding Author: Yantao Yang. Email:
The International Conference on Computational & Experimental Engineering and Sciences 2023, 27(3), 1-1. https://doi.org/10.32604/icces.2023.09754
Abstract
Based on the moving-least-squares immersed boundary method, we proposed a new technique to improve
the calculation of the volume force representing the body boundary. For boundary with simple geometry,
we theoretically analyze the error between the desired volume force at boundary and the actual force
applied by the original method. The ratio between the two forces is very close to a constant and exhibits a
very narrow distribution. A spatially uniform coefficient is then introduced to correct the force and can be
fixed by the least-square method over all boundary markers. Such method is explicit and non-iterative, and
is easy to implement into the existing scheme. We apply the new method to analyze the aorta hemodynamics
with type B intramural hematoma for a group of 20 patients (The Ethical Review Board of Peking University
People’s Hospital approved the study protocols, and informed consent about data collection and figure
presentation in this paper was obtained from all patients). Based on the wall-shear-stress field, the mean
oscillatory shear index (OSI) over the hematoma section are calculated. We also calculate the blood pressure
difference Pd between the inlet and outlet and study the duration Td of high pressure in one cardiac cycle for
different patients, which we think is important for the periodic loading process. By combining two criteria,
namely the duration T
d > 0.05s and the mean oscillatory shear index OSI > 0.125, we can distinguish the
patients with tear from those without for a confidence pvalue of .023. We then propose a new parameter
|∇
Keywords
Cite This Article
APA Style
Chen, W., Zhang, T., Yang, Y. (2023). An explicit and non-iterative moving-least-squares immersed-boundary method and its applications in the aorta hemodynamics with type B intramural hematoma. The International Conference on Computational & Experimental Engineering and Sciences, 27(3), 1-1. https://doi.org/10.32604/icces.2023.09754
Vancouver Style
Chen W, Zhang T, Yang Y. An explicit and non-iterative moving-least-squares immersed-boundary method and its applications in the aorta hemodynamics with type B intramural hematoma. Int Conf Comput Exp Eng Sciences . 2023;27(3):1-1 https://doi.org/10.32604/icces.2023.09754
IEEE Style
W. Chen, T. Zhang, and Y. Yang "An Explicit and Non-Iterative Moving-Least-Squares Immersed-Boundary Method and Its Applications in the Aorta Hemodynamics with Type B Intramural Hematoma," Int. Conf. Comput. Exp. Eng. Sciences , vol. 27, no. 3, pp. 1-1. 2023. https://doi.org/10.32604/icces.2023.09754