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Reports Year : 2013

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

Xiaofei Wang
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Abstract

A reliable and fast numerical scheme is crucial for the 1D simulation of blood flow. In this paper, a 1D blood flow model is incorporated with a Kelvin-Voigt viscoelastic constitutive relation of wall. This lead to a nonlinear hyperbolic-parabolic system, which is then solved with four numerical schemes, namely: MacCormack, Taylor-Galerkin, second order finite volume and local discontinuous Galerkin. The numerical schemes are tested on an uniform vessel, a simple bifurcation and a network with 55 arteries. In all of the cases, the numerical solutions are checked favorably against analytic, semi-analytic solutions or clinical observations. Among the numerical schemes, comparisons are made in four aspects: the accuracy, the ability to capture shock-like phenomena, the computation speed and the complexity of the implementation. The suitable conditions for the application of each scheme are discussed.
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Dates and versions

hal-00807040 , version 1 (02-04-2013)

Identifiers

  • HAL Id : hal-00807040 , version 1

Cite

Xiaofei Wang, Jose-Maria Fullana, Pierre-Yves Lagrée. Verification and comparison of four numerical schemes for a 1D viscoelastic blood flow model. 2013. ⟨hal-00807040⟩
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