@Article{EAJAM-7-852,
author = {Zhonghua Yao, Gang Li and Jinmei Gao},
title = {A High Order Well-Balanced Finite Volume WENO Scheme for a Blood Flow Model in Arteries },
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {7},
number = {4},
pages = {852--866},
abstract = {<p style="text-align: justify;">The numerical simulations for the blood flow in arteries by high order accurate
schemes have a wide range of applications in medical engineering. The blood flow
model admits the steady state solutions, in which the flux gradient is non-zero and is
exactly balanced by the source term. In this paper, we present a high order finite volume
weighted essentially non-oscillatory (WENO) scheme, which preserves the steady
state solutions and maintains genuine high order accuracy for general solutions. The
well-balanced property is obtained by a novel source term reformulation and discretisation,
combined with well-balanced numerical fluxes. Extensive numerical experiments
are carried out to verify well-balanced property, high order accuracy, as well as good
resolution for smooth and discontinuous solutions.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.181016.300517f},
url = {http://global-sci.org/intro/article_detail/eajam/10725.html}
}