Verification and comparison of four numerical schemes for a 1D viscoelastic blood flow model - Sorbonne Université Accéder directement au contenu
Rapport Année : 2014

Verification and comparison of four numerical schemes for a 1D viscoelastic blood flow model

Xiaofei Wang
  • Fonction : Auteur
  • PersonId : 937185

Résumé

A reliable and fast numerical scheme is crucial for the 1D simulation of blood flow in compliant vessels. In this paper, a 1D blood flow model is incorporated with a Kelvin-Voigt viscoelastic arterial wall. This leads to a nonlinear hyperbolic-parabolic system, which is then solved with four numerical schemes, namely: MacCormack, Taylor-Galerkin, MUSCL (monotonic upwind scheme for conservation law) and local discontinuous Galerkin. The numerical schemes are tested on a single vessel, a simple bifurcation and a network with 55 arteries. The numerical solutions are checked favorably against analytical, semi-analytical solutions or clinical observations. Among the numerical schemes, comparisons are made in four important aspects: accuracy, ability to capture shock-like phenomena, computational speed and implementation complexity. The suitable conditions for the application of each scheme are discussed.
Fichier principal
Vignette du fichier
comparison-1D-solvers.pdf (1.61 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00790665 , version 1 (21-02-2013)
hal-00790665 , version 2 (03-04-2013)
hal-00790665 , version 3 (22-04-2013)
hal-00790665 , version 4 (15-09-2014)

Identifiants

Citer

Xiaofei Wang, Jose-Maria Fullana, Pierre-Yves Lagrée. Verification and comparison of four numerical schemes for a 1D viscoelastic blood flow model. 2014. ⟨hal-00790665v4⟩
274 Consultations
627 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More