A two-level time step technique for the partitioned solution of one-dimensional arterial networks

DOI10.1016/j.cma.2012.05.017zbMath1253.76141OpenAlexW2105764954MaRDI QIDQ695963

Simone Deparis, A. Cristiano I. Malossi, Pablo Javier Blanco

Publication date: 17 December 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://infoscience.epfl.ch/record/170546/files/MalossiBlancoDeparis_TwoLevelTimeStepTechnique.pdf

zbMATH Keywords

wave propagationiterative methodsone-dimensional modelgeometrical multiscale modelingblood flow modelsarterial network

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Biomechanical solid mechanics (74L15) Physiological flows (76Z05) Physiological flow (92C35) Systems biology, networks (92C42)

Related Items (13)

Consistent treatment of viscoelastic effects at junctions in one-dimensional blood flow models ⋮ On the continuity of mean total normal stress in geometrical multiscale cardiovascular problems ⋮ Geometric multiscale modeling of the cardiovascular system, between theory and practice ⋮ On the physical consistency between three-dimensional and one-dimensional models in haemodynamics ⋮ The splitting-based semi-implicit finite-difference schemes for simulation of blood flow in arteries ⋮ The cardiovascular system: Mathematical modelling, numerical algorithms and clinical applications ⋮ Asymptotic stability of rarefaction wave for a blood flow model ⋮ Unnamed Item ⋮ A parameter estimation framework for patient-specific hemodynamic computations ⋮ Comparisons between reduced order models and full 3D models for fluid-structure interaction problems in haemodynamics ⋮ Existence and uniqueness of maximal strong solution of a 1D blood flow in a network of vessels ⋮ Computational modelling of the respiratory system: discussion of coupled modelling approaches and two recent extensions ⋮ Novel semi-implicit, locally conservative Galerkin (SILCG) methods: application to blood flow in a systemic circulation

Uses Software

• KELLEY

Cites Work

• Unnamed Item
• Black-box decomposition approach for computational hemodynamics: one-dimensional models
• A 3D/1D geometrical multiscale model of cerebral vasculature
• A unified variational approach for coupling 3D-1D models and its blood flow applications
• Numerical solution of the incompressible Navier-Stokes equations
• One-dimensional modelling of a vascular network in space-time variables
• One-dimensional models for blood flow in arteries
• An Anatomically Based Model of Transient Coronary Blood Flow in the Heart
• Algorithms for the partitioned solution of weakly coupled fluid models for cardiovascular flows
• Partitioned Analysis for Dimensionally-Heterogeneous Hydraulic Networks
• Analysis of a Geometrical Multiscale Model Based on the Coupling of ODE and PDE for Blood Flow Simulations
• Iterative strong coupling of dimensionally heterogeneous models

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