Hyperbolic reformulation of a 1D viscoelastic blood flow model and ADER finite volume schemes

被引：51

作者：

Montecinos, Gino I. ^{[1
]}

Mueller, Lucas O. ^{[1
]}

Toro, Eleuterio F. ^{[1
]}

机构：

[1] Univ Trento, DICAM, Lab Appl Math, Trento, Italy

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2014年 / 266卷

关键词：

Blood flow model; Cattaneo's law; ADER high order schemes; Generalised Riemann problems; Path-conservative schemes; DISCONTINUOUS GALERKIN SCHEMES; GENERALIZED RIEMANN PROBLEM; PULSE-WAVE PROPAGATION; HUMAN ARTERIAL NETWORK; RUNGE-KUTTA SCHEMES; HIGH-ORDER; RELAXATION SCHEMES; SYSTEMS; 1-D; SIMULATIONS;

D O I：

10.1016/j.jcp.2014.02.013

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The applicability of ADER finite volume methods to solve hyperbolic balance laws with stiff source terms in the context of well-balanced and non-conservative schemes is extended to solve a one-dimensional blood flow model for viscoelastic vessels, reformulated as a hyperbolic system, via a relaxation time. A criterion for selecting relaxation times is found and an empirical convergence rate assessment is carried out to support this result. The proposed methodology is validated by applying it to a network of viscoelastic vessels for which experimental and numerical results are available. The agreement between the results obtained in the present paper and those available in the literature is satisfactory. Key features of the present formulation and numerical methodologies, such as accuracy, efficiency and robustness, are fully discussed in the paper. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：101 / 123

页数：23

共 64 条

[11] Well-balanced high-order centred schemes for non-conservative hyperbolic systems. Applications to shallow water equations with fixed and mobile bed [J].