2013/02/22 by Xiaofei Wang, José‐Maria Fullana, Wang, Xiaofei +3 · 3 citations
Medicine · #Cardiovascular Function and Risk Factors #Cardiovascular Health and Disease Prevention #Coronary Interventions and Diagnostics #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Medical Physics (physics.med-ph) #Numerical Analysis (math.NA)
paper · doi:10.48550/arxiv.1302.5505
openalex publication_date 2013/02/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.