Numerical simulation and analysis of multiscale interface coupling between a poroelastic medium and a lumped hydraulic circuit: comparison between functional iteration and operator splitting methods
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Publication:2157099
DOI10.1016/j.jcp.2022.111379OpenAlexW4283035013WikidataQ114163273 ScholiaQ114163273MaRDI QIDQ2157099
Giovanna Guidoboni, Lorena Bociu, Daniele Prada, Riccardo Sacco
Publication date: 21 July 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111379
operator splittingporoelasticityfunctional iterationslumped hydraulic circuitmultiscale interface coupling
Biological fluid mechanics (76Zxx) Physiological, cellular and medical topics (92Cxx) Coupling of solid mechanics with other effects (74Fxx)
Cites Work
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- Analysis of nonlinear poro-elastic and poro-visco-elastic models
- Analysis and numerical approximations of equations of nonlinear poroelasticity
- A modular numerical method for implicit 0D/3D coupling in cardiovascular finite element simulations
- A bidirectional coupling procedure applied to multiscale respiratory modeling
- A poroelastic model for the perfusion of the lamina cribrosa in the optic nerve head
- Stable loosely-coupled-type algorithm for fluid-structure interaction in blood flow
- Applications of operator-splitting methods to the direct numerical simulation of particulate and free-surface flows and to the numerical solution of the two-dimensional elliptic Monte-Ampère equation
- Cardiovascular mathematics. Modeling and simulation of the circulatory system
- A poroelastic model valid in large strains with applications to perfusion in cardiac modeling
- Partially saturated flow in a poroelastic medium
- The finite element patch test revisited. A computer test for convergence, validation and error estimates
- Handbook of Numerical Analysis IX. Numerical methods for fluids (Part 3)
- The role of porous media in modeling flow and heat transfer in biological tissues.
- Diffusion in poro-elastic media
- Well-posedness of the fully coupled quasi-static thermo-poroelastic equations with nonlinear convective transport
- Energy-based operator splitting approach for the time discretization of coupled systems of partial and ordinary differential equations for fluid flows: the Stokes case
- A poroelastic mixture model of mechanobiological processes in biomass growth: theory and application to tissue engineering
- The role of structural viscoelasticity in deformable porous media with incompressible constituents: applications in biomechanics
- The respiratory system in equations
- A hybridized discontinuous Galerkin method for a linear degenerate elliptic equation arising from two-phase mixtures
- Nonlinear quasi-static poroelasticity
- Weak solutions in nonlinear poroelasticity with incompressible constituents
- On the role of compressibility in poroviscoelastic models
- Stability analysis for a new model of multi-species convection-diffusion-reaction in poroelastic tissue
- A singularity removal method for coupled 1D-3D flow models
- Geometric multiscale modeling of the cardiovascular system, between theory and practice
- Wall-driven incompressible viscous flow in a two-dimensional semi-circular cavity
- The existence and uniqueness theorem in Biot's consolidation theory
- Efficient finite element formulation for geothermal heating systems. Part I: steady state
- Analysis of partitioned methods for the <scp>B</scp>iot System
- Analysis of a Geometrical Multiscale Model Based on the Coupling of ODE and PDE for Blood Flow Simulations
- Effects of Holistic Nursing Course
- Second-Order Time Accuracy for Coupled Lumped and Distributed Fluid Flow Problems via Operator Splitting: A Numerical Investigation
- MULTISCALE MODELING OF THE RESPIRATORY TRACT
- Analysis of lumped parameter models for blood flow simulations and their relation with 1D models
- Analysis of a Geometrical Multiscale Blood Flow Model Based on the Coupling of ODEs and Hyperbolic PDEs
- Multiscale modelling of the circulatory system: a preliminary analysis
- Coupling between lumped and distributed models for blood flow problems.
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