A stable high-order FC-based methodology for hemodynamic wave propagation

DOI10.1016/j.jcp.2019.109130zbMath1453.76148OpenAlexW2991384987WikidataQ126774729 ScholiaQ126774729MaRDI QIDQ2223202

Publication date: 28 January 2021

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2019.109130

zbMATH Keywords

high-order methods Fourier continuation mathematical physiology hemodynamic wave simulation

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Spectral methods applied to problems in fluid mechanics (76M22) Physiological flows (76Z05) Physiological flow (92C35)

Related Items (1)

A Fourier-based methodology without numerical diffusion for conducting dye simulations and particle residence time calculations

Cites Work

Unnamed Item
Multi-dimensional hybrid Fourier continuation-WENO solvers for conservation laws
Application of the method of manufactured solutions to the verification of a pressure-based finite volume numerical scheme
Multi-domain Fourier-continuation/WENO hybrid solver for conservation laws
Spatially dispersionless, unconditionally stable FC-AD solvers for variable-coefficient PDEs
A spectral FC solver for the compressible Navier-Stokes equations in general domains. I: Explicit time-stepping
An FC-based spectral solver for elastodynamic problems in general three-dimensional domains
High-order unconditionally stable FC-AD solvers for general smooth domains. II: Elliptic, parabolic and hyperbolic PDEs; theoretical considerations
One-dimensional modelling of a vascular network in space-time variables
One-dimensional models for blood flow in arteries
Higher-order implicit-explicit multi-domain compressible Navier-Stokes solvers
High-order unconditionally stable FC-AD solvers for general smooth domains. I: Basic elements
A fast algorithm for the simulation of arterial pulse waves
Accurate, high-order representation of complex three-dimensional surfaces via Fourier continuation analysis
On the one-dimensional theory of blood flow in the larger vessels
A 1D arterial blood flow model incorporating ventricular pressure, aortic valve and regional coronary flow using the locally conservative Galerkin (LCG) method
Dispersion analysis of finite element semidiscretizations of the two-dimensional wave equation
The Theoretical Accuracy of Runge–Kutta Time Discretizations for the Initial Boundary Value Problem: A Study of the Boundary Error
On the Removal of Boundary Errors Caused by Runge–Kutta Integration of Nonlinear Partial Differential Equations
Pulse Wave Propagation in the Arterial Tree

This page was built for publication: A stable high-order FC-based methodology for hemodynamic wave propagation