典型文献
A Discontinuous Galerkin Method for Blood Flow and Solute Transport in One-Dimensional Vessel Networks
文献摘要：
This paper formulates an efficient numerical method for solving the convection diffusion solute transport equations coupled to blood flow equations in vessel networks.The reduced coupled model describes the variations of vessel cross-sectional area,radially averaged blood momentum and solute concentration in large vessel networks.For the discretization of the reduced transport equation,we combine an interior penalty discontinuous Galerkin method in space with a novel locally implicit time stepping scheme.The stability and the convergence are proved.Numerical results show the impact of the choice for the steady-state axial velocity profile on the numerical solutions in a fifty-five vessel network with physiological boundary data.
文献关键词：
中图分类号：
作者姓名：
Rami Masri;Charles Puelz;Beatrice Riviere
作者机构：
Department of Computational and Applied Mathematics,Rice University,Houston,TX 77005,USA;Department of Pediatrics-Cardiology,Baylor College of Medicine,Houston,TX 77030,USA
文献出处：
引用格式：
[1]Rami Masri;Charles Puelz;Beatrice Riviere-.A Discontinuous Galerkin Method for Blood Flow and Solute Transport in One-Dimensional Vessel Networks)[J].应用数学与计算数学学报,2022(02):500-529
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B类：
Discontinuous,Galerkin,Method,Blood,Flow,Solute,Transport,One,Dimensional,Vessel,Networks,This,paper,formulates,efficient,numerical,method,solving,convection,diffusion,solute,transport,equations,coupled,blood,flow,vessel,networks,reduced,model,describes,variations,cross,sectional,area,radially,averaged,momentum,concentration,large,For,discretization,we,combine,interior,penalty,discontinuous,space,novel,locally,implicit,stepping,scheme,stability,convergence,proved,Numerical,results,show,impact,choice,steady,state,axial,velocity,profile,solutions,fifty,five,physiological,boundary,data
AB值：
0.710822
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