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- W2018220075 abstract "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, 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." @default.
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- W2018220075 date "2014-08-22" @default.
- W2018220075 modified "2023-10-07" @default.
- W2018220075 title "Verification and comparison of four numerical schemes for a 1D viscoelastic blood flow model" @default.
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- W2018220075 doi "https://doi.org/10.1080/10255842.2014.948428" @default.
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