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

被引：2

作者：

Chu, Shaoshuai ^{[1
]}

Kurganov, Alexander ^{[2
,3
]}

机构：

[1] Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China

[2] Southern Univ Sci & Technol, Dept Math, SUSTech Int Ctr Math, Shenzhen 518055, Peoples R China

[3] Southern Univ Sci & Technol, Guangdong Prov Key Lab Computat Sci & Mat Design, Shenzhen 518055, Peoples R China

来源：

CALCOLO | 2023年 / 60卷 / 01期

关键词：

Flux globalization; Central-upwind scheme; Well-balanced method; Blood flow equations; Steady-state solutions;

D O I：

10.1007/s10092-022-00497-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：35

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