Modeling blood flow in networks of viscoelastic vessels with the 1-D augmented fluid-structure interaction system
DOI10.1016/j.jcp.2022.111364OpenAlexW3127589899MaRDI QIDQ2672794
Francesco Piccioli, Giulia Bertaglia, Alessandro Valiani, Valerio Caleffi
Publication date: 13 June 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.12614
finite volume methodsstandard linear solid modelIMEX Runge-Kutta schemesviscoelastic vesselsarterial network modelingjunction modeling
Basic methods in fluid mechanics (76Mxx) Biological fluid mechanics (76Zxx) Physiological, cellular and medical topics (92Cxx)
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- A path-conservative Osher-type scheme for axially symmetric compressible flows in flexible visco-elastic tubes
- Physical determining factors of the arterial pulse waveform: theoretical analysis and calculation using the 1-D formulation
- Hyperbolic reformulation of a 1D viscoelastic blood flow model and ADER finite volume schemes
- A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems
- Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
- Brain venous haemodynamics, neurological diseases and mathematical modelling. A review
- Low-Shapiro hydrostatic reconstruction technique for blood flow simulation in large arteries with varying geometrical and mechanical properties
- On the quasi-static theory of viscoelasticity
- Fourth-order balanced source term treatment in central WENO schemes for shallow water equations
- Why many theories of shock waves are necessary: convergence error in formally path-consistent schemes
- Cardiovascular mathematics. Modeling and simulation of the circulatory system
- Upwind methods for hyperbolic conservation laws with source terms
- Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
- One-dimensional modelling of a vascular network in space-time variables
- One-dimensional models for blood flow in arteries
- On the exact solution of the Riemann problem for blood flow in human veins, including collapse
- Uncertainty quantification of viscoelastic parameters in arterial hemodynamics with the a-FSI blood flow model
- Modeling blood flow in viscoelastic vessels: the 1D augmented fluid-structure interaction system
- A high order approximation of hyperbolic conservation laws in networks: application to one-dimensional blood flow
- Consistent treatment of viscoelastic effects at junctions in one-dimensional blood flow models
- Finite volume and WENO scheme in one-dimensional vascular system modelling
- Geometric multiscale modeling of the cardiovascular system, between theory and practice
- Formulation of exactly balanced solvers for blood flow in elastic vessels and their application to collapsed states
- Engineering Viscoelasticity
- Junction Riemann problem for one-dimensional shallow water equations with bottom discontinuities and channels width variations
- A branched one-dimensional model of vessel networks
- A 1D arterial blood flow model incorporating ventricular pressure, aortic valve and regional coronary flow using the locally conservative Galerkin (LCG) method
- On the Cauchy Problem for the p-System at a Junction
- On $2\times2$ Conservation Laws at a Junction
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- Computational modelling of 1D blood flow with variable mechanical properties and its application to the simulation of wave propagation in the human arterial system
- On Universal Osher-Type Schemes for General Nonlinear Hyperbolic Conservation Laws
- Flow in Collapsible Tubes with Discontinuous Mechanical Properties: Mathematical Model and Exact Solutions
- The cardiovascular system: Mathematical modelling, numerical algorithms and clinical applications
- Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods
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