Well-balanced high-order numerical schemes for one-dimensional blood flow in vessels with varying mechanical properties

2013 ◽  
Vol 242 ◽  
pp. 53-85 ◽  
Author(s):  
Lucas O. Müller ◽  
Carlos Parés ◽  
Eleuterio F. Toro
Keyword(s):  
Mechanical Properties ◽  
Blood Flow ◽  
High Order ◽  
Numerical Schemes ◽  
One Dimensional

scholarly journals A benchmark study of numerical schemes for one-dimensional arterial blood flow modelling

2015 ◽  
Vol 31 (10) ◽  
pp. e02732 ◽  
Author(s):  
Etienne Boileau ◽  
Perumal Nithiarasu ◽  
Pablo J. Blanco ◽  
Lucas O. Müller ◽  
Fredrik Eikeland Fossan ◽  
...  
Keyword(s):  
Blood Flow ◽  
Arterial Blood Flow ◽  
Numerical Schemes ◽  
One Dimensional ◽  
Flow Modelling ◽  
Benchmark Study ◽  
Arterial Blood

High-Order Numerical Schemes for One-Dimensional Nonlocal Conservation Laws

2018 ◽  
Vol 40 (1) ◽  
pp. A288-A305 ◽  
Author(s):  
Christophe Chalons ◽  
Paola Goatin ◽  
Luis M. Villada
Keyword(s):  
Conservation Laws ◽  
High Order ◽  
Numerical Schemes ◽  
One Dimensional ◽  
Nonlocal Conservation Laws

scholarly journals High-order compact LOD methods for solving high-dimensional advection equations

2021 ◽  
Vol 40 (3) ◽  
Author(s):  
Bo Hou ◽  
Yongbin Ge
Keyword(s):  
Truncation Error ◽  
Three Dimensional ◽  
Taylor Series Expansion ◽  
High Order ◽  
High Dimensional ◽  
Analysis Method ◽  
Order Accuracy ◽  
Von Neumann ◽  
One Dimensional ◽  
Von Neumann Analysis

AbstractIn this paper, by using the local one-dimensional (LOD) method, Taylor series expansion and correction for the third derivatives in the truncation error remainder, two high-order compact LOD schemes are established for solving the two- and three- dimensional advection equations, respectively. They have the fourth-order accuracy in both time and space. By the von Neumann analysis method, it shows that the two schemes are unconditionally stable. Besides, the consistency and convergence of them are also proved. Finally, numerical experiments are given to confirm the accuracy and efficiency of the present schemes.

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

A high-order solver for aerodynamic flow simulations and comparison of different numerical schemes

2017 ◽  
Author(s):  
Sergey Mikhaylov ◽  
Alexander Morozov ◽  
Vladimir Podaruev ◽  
Alexey Troshin
Keyword(s):  
High Order ◽  
Numerical Schemes ◽  
Flow Simulations

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.

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