TITLE

A SHALLOW WATER WITH VARIABLE PRESSURE MODEL FOR BLOOD FLOW SIMULATION

AUTHOR(S)
DELESTRE, OLIVIER; GHIGO, ARTHUR R.; FULLANA, JOSÉ-MARIA; LAGRÉE, PIERRE-YVES
PUB. DATE
March 2016
SOURCE
Networks & Heterogeneous Media;Mar2016, Vol. 11 Issue 1, p69
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We performed 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. The method was then validated on examples taken from the literature. Asymptotic solutions were computed to highlight the effect of the viscous and viscoelastic source terms. Finally, the blood flow was computed in an artery where the cross-section at rest and the stiffness were varying. In each test case, the hydrostatic reconstruction showed good results where other simpler schemes did not, generating spurious oscillations and nonphysical velocities.
ACCESSION #
112821914

 

Related Articles

  • Inflow/Outflow Boundary Conditions for Particle-Based Blood Flow Simulations: Application to Arterial Bifurcations and Trees. Lykov, Kirill; Li, Xuejin; Lei, Huan; Pivkin, Igor V.; Karniadakis, George Em // PLoS Computational Biology;8/28/2015, Vol. 11 Issue 8, p1 

    When blood flows through a bifurcation, red blood cells (RBCs) travel into side branches at different hematocrit levels, and it is even possible that all RBCs enter into one branch only, leading to a complete separation of plasma and RBCs. To quantify this phenomenon via particle-based...

  • Impact of heterogeneously distributed solid particles in the transition zone between porous and free flow domain. Falkner, Nadine; Steeb, Holger // PAMM: Proceedings in Applied Mathematics & Mechanics;Oct2016, Vol. 16 Issue 1, p439 

    We present a direct numerical simulation approach for the simulation of shallow water flow using the particle based meshfree Smoothed Particle Hydrodynamics (SPH) method. Simulations of single phase flow are done to characterize the occurring flow parameters on both macro-scale and pore-scale....

  • LABORATORY AND HEC-RAS SIMULATIONS OF A SINGLE-STEP WEIR. Qasim, Jihan Mahmood // Journal of Engineering & Applied Sciences;Dec2013, Vol. 8 Issue 12, p1005 

    The River Analysis System (HEC-RAS) software was used to simulate the free flow over the broad-crested single-step weir. The software was used to compute the water surface profile, determine the location of the hydraulic jump, and establish the head-discharge relationship for the weir. The...

  • Simulation of Detailed Wave Motions and Coastal Hazards. Wu, Guoxiang; Wang, Jun; Liang, Bingchen; Lee, Dong Young // Journal of Coastal Research;Fall2014 Special Issue, Vol. 72, p127 

    Wu, G.; Wang, J.; Liang, B., and Lee, D.Y., 2014. Simulation of detailed wave motions and coastal hazards. A laboratory experiment combined with numerical experiment had been carried out to test the applicability of a phase resolving model with non-hydrostatic pressure, SWASH, in simulating the...

  • The Numerical Simulation of Shallow Water: Estimation of the Roughness Coefficient on the Flood Stage. Khrapov, Sergey S.; Pisarev, Andrey V.; Kobelev, Ivan A.; Zhumaliev, Artur G.; Agafonnikova, Ekaterina O.; Losev, Alexander G.; Khoperskov, Alexander V. // Advances in Mechanical Engineering (Hindawi Publishing Corporati;2013, Vol. 5, p1 

    The results of the numerical simulations of the dynamics of shallow waters for Volga-Akhtuba Floodplain are discussed. The mathematical model is based on the system of Saint-Venant equations. Numerical solution applies a combined Lagrangian- Eulerian (cSPH-TVD) algorithm. We have investigated...

  • Instabilities in non-rotating and rotating shallow shear flows. Chu, Vincent // Environmental Fluid Mechanics;Oct2014, Vol. 14 Issue 5, p1085 

    Numerical simulations for the wave radiation effect on the linear and nonlinear instabilities of rotating and non-rotating shallow flows are conducted using shallow-water equations. At a low convective Froude number, the results of the instabilities is a string of eddies. The coalescence between...

  • Shallow water simulation of overland flows in idealised catchments. Liang, Dongfang; Özgen, Ilhan; Hinkelmann, Reinhard; Xiao, Yang; Chen, Jack // Environmental Earth Sciences;Dec2015, Vol. 74 Issue 11, p7307 

    This paper investigates the relationship between the rainfall and runoff in idealised catchments, either with or without obstacle arrays, using an extensively-validated fully-dynamic shallow water model. This two-dimensional hydrodynamic model allows a direct transformation of the spatially...

  • Investigation of the Bottom-Slope Dependence of the Nonlinear Wave Evolution toward Breaking Using SWASH. Filipot, Jean-Francois // Journal of Coastal Research;Nov2016, Vol. 32 Issue 6, p1504 

    Filipot, J.-F., 2016. Investigation of the bottom-slope dependence of the nonlinear wave evolution toward breaking using SWASH. Numerical simulations of irregular waves propagating over planar beaches with slopes varying from 1 to 10% are performed with the Simulating WAves till SHore (SWASH)...

  • High-Precision Structured Finite Volume Model for Numerical Simulation of Dam- and Dyke-Breach Flow. Yunato Ye; Lili Liang; Shuanghu Zhang; Yunzhong Jiang // Applied Mechanics & Materials;2014, Issue 580-583, p2990 

    A high precision structured-based finite volume model for numerical simulation of dam-and dyke-breach flow was proposed. The model regarded the fully two-dimensional shallow water equations as the governing equations, and used the Godunov-type finite volume shock-capturing schemes HLLC to...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics