Volume 10, Issue 1
An Efficient High Order Well-Balanced Finite Difference WENO Scheme for the Blood Flow Model

Shouguo Qian, Gang Li, Xianqing Lv & Fengjing Shao

Adv. Appl. Math. Mech., 10 (2018), pp. 22-40.

Published online: 2018-10

Preview Full PDF 516 1963
Export citation
  • Abstract

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 wellbalanced 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.

  • Keywords

Blood flow model, finite difference scheme, WENO scheme, high order accuracy, well-balanced property.

  • AMS Subject Headings

65L12, 74S20

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
Copy to clipboard
The citation has been copied to your clipboard