Year: 2017
Author: Zhonghua Yao, Gang Li, Lina Song
Journal of Mathematical Study, Vol. 50 (2017), Iss. 2 : pp. 174–189
Abstract
Numerical simulations by high order methods for the blood flow model in arteries have wide applications in medical engineering. This blood flow model admits the steady state solutions, for which the flux gradient is non-zero, and is exactly balanced by the source term. In this paper,we design a high order discontinuous Galerkin method to this model by means of a novel source term approximation as well as well-balanced numerical fluxes. Rigorous theoretical analysis as well as extensive numerical results all suggests that the resulting method maintains the well-balanced property, enjoys high order accuracy and keeps good resolutions for smooth and discontinuous solutions.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v50n2.17.04
Journal of Mathematical Study, Vol. 50 (2017), Iss. 2 : pp. 174–189
Published online: 2017-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Blood flow model discontinuous Galerkin method well-balanced property high order accuracy source term.