Effects of higher order discretization on the predictions of steady turbulent airflow in human respiratory system

IF 2.1 2区数学 Q1 MATHEMATICS, APPLIED

Journal of Computational and Applied Mathematics Pub Date : 2025-02-26 DOI:10.1016/j.cam.2025.116593

A. Lancmanová, T. Bodnár

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引用次数: 0

Abstract

This study aims to evaluate the efficiency and accuracy of two distinct numerical schemes, the first order upwind scheme and the second-order central scheme with Van Leer limiter for convective terms, in predicting steady turbulent airflow in human airways for different flow rates (

Q = 15, 30, 60 [ℓ {m i n}^{- 1}]

). A 3D model of the human respiratory system, extending from the oral cavity to the trachea and incorporating a simplified lung model (with branches from the 4th to 7th generations merged into larger funnels), is used to simulate steady inhalation and exhalation, excluding nasal tract respiration.

Through a series of simulations and subsequent analysis of the results, this study mutually compares the performance of the two numerical schemes in terms of their assumed accuracy, convergence, and computational efficiency with reference to available experimental data.

This study has shown significant differences in numerical predictions of respiratory flows obtained by first and second order schemes, pointing out that the second order approximation not only offers a potentially more accurate results, but also lower computational cost.

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来源期刊

Journal of Computational and Applied Mathematics 数学-应用数学

CiteScore

5.40

自引率

4.20%

发文量

437

审稿时长

3.0 months

期刊介绍： The Journal of Computational and Applied Mathematics publishes original papers of high scientific value in all areas of computational and applied mathematics. The main interest of the Journal is in papers that describe and analyze new computational techniques for solving scientific or engineering problems. Also the improved analysis, including the effectiveness and applicability, of existing methods and algorithms is of importance. The computational efficiency (e.g. the convergence, stability, accuracy, ...) should be proved and illustrated by nontrivial numerical examples. Papers describing only variants of existing methods, without adding significant new computational properties are not of interest. The audience consists of: applied mathematicians, numerical analysts, computational scientists and engineers.