Low-Shapiro hydrostatic reconstruction technique for blood flow simulation in large arteries with varying geometrical and mechanical properties

  title={Low-Shapiro hydrostatic reconstruction technique for blood flow simulation in large arteries with varying geometrical and mechanical properties},
  author={Arthur R. Ghigo and Olivier Delestre and Jose-Maria Fullana and Pierre-Yves Lagr{\'e}e},
  journal={J. Comput. Phys.},

A 2D nonlinear multiring model for blood flow in large elastic arteries

A time-dependent non-Newtonian extension of a 1D blood flow model

1D generalized time dependent non Newtonian blood flow model

Alterations in whole blood viscosity due to hemodialysis, pathologies or a low stress hemo-dynamic blood flow impact the viscosity generating local changes in blood pressure, blood flow rate, vessel

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Stenosis, defined by a partial or full obstruction of the arteries, is a frequent anomaly in the cardiovascular system. The pressure drop across a stenosis indicates the severity of the pathology.

Distribution of Flow in an Arteriovenous Fistula Using Reduced-order Models.

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Parameter estimation to study the immediate impact of aortic cross‐clamping using reduced order models

Two numerical models to estimate the immediate impact of aortic clamping on the vascular properties were developed and gave an accurate description of the pressure wave and had a high correlation with experimental blood pressure data.



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

A 1D blood flow model is incorporated with a Kelvin–Voigt viscoelastic arterial wall, which leads to a nonlinear hyperbolic–parabolic system, which is solved with four numerical schemes, namely: MacCormack, Taylor–Galerkin, monotonic upwind scheme for conservation law and local discontinuous Galerkin.

A shallow water with variable pressure model for blood flow simulation

Numerical simulations of blood flow in arteries with a variable stiffness and cross-section at rest using a finite volume method coupled with a hydrostatic reconstruction of the variables at the interface of each mesh cell showed good results where other simpler schemes did not, generating spurious oscillations and nonphysical velocities.

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