scholarly journals Numerical method of characteristics for one-dimensional blood flow

2015 ◽  
Vol 294 ◽  
pp. 96-109 ◽  
Author(s):  
Sebastian Acosta ◽  
Charles Puelz ◽  
Béatrice Rivière ◽  
Daniel J. Penny ◽  
Craig G. Rusin
Keyword(s):  
Blood Flow ◽  
Numerical Method ◽  
Method Of Characteristics ◽  
One Dimensional

scholarly journals Calculation of the pressure on the valves of a sluice

1997 ◽  
Vol 19 (3) ◽  
pp. 25-34
Author(s):  
Tran Gia Lich ◽  
Le Kim Luat ◽  
Han Quoc Trinh
Keyword(s):  
Numerical Method ◽  
Method Of Characteristics ◽  
Numerical Solutions ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Two Dimensional ◽  
Sweep Method ◽  
Navier Stokes Equations ◽  
One Dimensional ◽  
Interior Points

This paper is devoted to a numerical method for calculating the pressure on the vertical two-dimensional valve basing on Navier-Stokes equations. Numerical solutions at interior points are established by splitting Navie-Stokes unsteady two-dimensional equations into two unsteady one-dimensional equations. An implicit scheme is obtained and the solution for these equations is established by the double sweep method. The values at the boundary points are calculated by the method of characteristics.

The Effect from Hole Area on Pressure Waves Produced by a High-Speed Train through Tunnel with Perforated Wall

2011 ◽  
Vol 94-96 ◽  
pp. 1733-1736
Author(s):  
Yuan Gui Mei ◽  
Yong Xing Jia
Keyword(s):  
Numerical Method ◽  
Pressure Wave ◽  
High Speed ◽  
Method Of Characteristics ◽  
Pressure Waves ◽  
High Speed Train ◽  
One Dimensional ◽  
Isentropic Flow ◽  
Perforated Wall ◽  
Hole Area

The perforated wall has great effect on pressure waves produced by high-speed train through a tunnel. In this paper the effect is investigated numerically by the method of characteristics based on one-dimensional unsteady compressible non-isentropic flow theory. The numerical method is validated by experimental results of Netherlands NLR. The effect from hole area in perforated wall is investigated principally and the results shows that the pressure wave is alleviated remarkably in tunnel with perforated wall.

scholarly journals A fast method for solving a linear model of one-dimensional blood flow in a viscoelastic arterial tree

2017 ◽  
Vol 231 (3) ◽  
pp. 203-212 ◽  
Author(s):  
Ivan Korade ◽  
Zdravko Virag ◽  
Severino Krizmanić
Keyword(s):  
Blood Flow ◽  
Transmission Line ◽  
Method Of Characteristics ◽  
Fast Method ◽  
Arterial Tree ◽  
One Dimensional ◽  
The Method Of Characteristics ◽  
Line Method ◽  
Transmission Line Method ◽  
Linearized Model

For the purpose of optimization of the whole arterial tree, a fast method for solving of one-dimensional model of blood flow is required. A semi-analytic transmission line method for solving a linearized one-dimensional model of blood flow in an arterial tree with viscoelastic walls is proposed. The transmission line method that solves the linearized model in the frequency domain and the method of characteristics that solves either linearized or non-linear one-dimensional models in the time domain are compared regarding accuracy and computational time. For this purpose, the benchmark problem of a 37-artery network with available experimental data is used. In the case of the linearized model, the results from the transmission line method and the method of characteristics are practically the same. The difference between the transmission line method solution of the linearized model and the method of characteristics solution of the non-linear model is much smaller than the error of either method of characteristics or transmission line method numerical solutions with respect to the experimental data. For typical applications, the transmission line method is at least two orders of magnitude faster than the method of characteristics.

A note on the solution of the one-dimensional unsteady equations of arterial blood flow by the method of characteristics

1979 ◽  
Vol 21 (1) ◽  
pp. 45-52 ◽  
Author(s):  
L. K. Forbes
Keyword(s):  
Blood Flow ◽  
Method Of Characteristics ◽  
Arterial Blood Flow ◽  
Aortic Blood Flow ◽  
Numerical Accuracy ◽  
One Dimensional ◽  
Flow Models ◽  
Arterial Blood ◽  
Blood Flow Models ◽  
The One

AbstractThe “Hartree hybrid method” has recently been employed in one-dimensional non-linear aortic blood-flow models, and the results obtained appear to indicate that shock-waves could only form in distances which exceed physiologically meaningful values. However, when the same method is applied with greater numerical accuracy to these models, the existence of a shock-wave in the vicinity of the heart is predicted. This appears to be contrary to present belief.

Fractional-Order Viscoelasticity in One-Dimensional Blood Flow Models

2014 ◽  
Vol 42 (5) ◽  
pp. 1012-1023 ◽  
Author(s):  
Paris Perdikaris ◽  
George Em. Karniadakis
Keyword(s):  
Blood Flow ◽  
Fractional Order ◽  
One Dimensional ◽  
Flow Models ◽  
Blood Flow Models

Thermal Mapping, via Liquid Crystals, of the Temperature Field near a Heated Surgical Probe

1973 ◽  
Vol 95 (2) ◽  
pp. 250-256 ◽  
Author(s):  
T. E. Cooper ◽  
J. P. Groff
Keyword(s):  
Blood Flow ◽  
Temperature Field ◽  
Liquid Crystals ◽  
Theoretical Model ◽  
Wheatstone Bridge ◽  
Visual Display ◽  
Two Dimensional ◽  
Test Medium ◽  
One Dimensional ◽  
Water Test

This paper discusses the use of heat for producing clinical lesions in tissue and presents the design and analysis of a resistively heated surgical probe. The probe surface temperature is accurately maintained and controlled by using a Wheatstone bridge. The probe was embedded in a clear agar–water test medium, and the temperature field generated by the probe was measured with liquid crystals, a material that provides a visual display of certain isotherms. Experimental results compare within approximately 10 percent of a two-dimensional numerical solution. A one-dimensional theoretical model is also developed which examines the influence of blood flow on the temperature field.

Sign in / Sign up

Export Citation Format

Share Document