Flux globalization based well-balanced central-upwind scheme for one-dimensional blood flow models

被引：0
作者：
Shaoshuai Chu
Alexander Kurganov
机构：
[1] Southern University of Science and Technology,Department of Mathematics
[2] Southern University of Science and Technology,Department of Mathematics, SUSTech International Center for Mathematics and Guangdong Provincial Key Laboratory of Computational Science and Material Design
来源：
Calcolo | 2023年 / 60卷
关键词：
Flux globalization; Central-upwind scheme; Well-balanced method; Blood flow equations; Steady-state solutions; 65M08; 76M12; 76N15; 76Z05; 92C35; 35L65; 35L67;
D O I：
暂无
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学科分类号：
摘要：
We develop a new second-order well-balanced central-upwind scheme for one-dimensional blood flow models. The proposed scheme is based on a flux globalization approach, which helps to develop a high-resolution and robust method capable of preserving both “man-at-eternal-rest” (zero-velocity) and “living-man” (non-zero velocity) steady-state solutions. We demonstrate the performance of the designed schemes on several numerical examples.
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