@Article{AAMM-10-1,
author = {Shouguo, Qian and Li, Gang and Xianqing, Lv and Shao, Fengjing},
title = {An Efficient High Order Well-Balanced Finite Difference WENO Scheme for the Blood Flow Model},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2018},
volume = {10},
number = {1},
pages = {22--40},
abstract = {<p style="text-align: justify;">The blood flow model admits the steady state, in which the flux gradient is
non-zero and is exactly balanced by the source term. In this paper, we present a high
order well-balanced finite difference weighted essentially non-oscillatory (WENO)
scheme, which exactly preserves the steady state. In order to maintain the well-balanced
property, we propose to reformulate the equation and apply a novel source
term approximation. Extensive numerical experiments are carried out to verify the
performances of the current scheme such as the maintenance of well-balanced property,
the ability to capture the perturbations of such steady state and the genuine high
order accuracy for smooth solutions.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2016-0151},
url = {https://global-sci.com/article/73164/an-efficient-high-order-well-balanced-finite-difference-weno-scheme-for-the-blood-flow-model}
}