Development of a high-order solver for blood flow

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• 作者：Hassan Khurshid ; Klaus A. Hoffmann
• 关键词：WENO scheme ; non ; Newtonian flow ; Incompressible
• 刊名：Engineering with Computers
• 出版年：2015
• 出版时间：January 2015
• 年：2015
• 卷：31
• 期：1
• 页码：51-71
• 全文大小：4,115 KB
• 参考文献：1. Fahraeus R, Lindquist R (1931) Viscosity of blood in narrow capillary tubes. Am J Physiol 96:562-68
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  21. Naghavi MR, Navidbukhsh M (2005) Non-Newtonian behaviour of blood flow in 3D simulated model of carotid artery bifurcation. In: Proceedings of the 14th IASTED International Conference Applied Simulation and Modelling, Benalmadena, Spain
  22. Cole JS, Gillian MA, Raghunathan S (1999) Numerical simulations of time-dependent, non-Newtonian blood flow through typical human arterial bypass grafts. Dev Chem Eng Miner Process 7:179-00 CrossRef
  23. Politis AK, Stavropoulos GP, Christolis MN, Panagopoulos FG, Vlachos NS, Markatos NC (2007) Numerical modelling of simulated blood flow in idealized composite arterial coronary grafts: steady state simulations. J Biomech 40:1125-136 CrossRef
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• 刊物类别：Computer Science
• 刊物主题：Computer-Aided Engineering and Design
  Mathematical Applications in Chemistry
  Systems Theory and Control
  Calculus of Variations and Optimal Control
  Mechanics
  Applied Mathematics and Computational Methods of Engineering
  
• 出版者：Springer London
• ISSN：1435-5663

文摘

A high-order solver for the blood flow is developed and analyzed using a two-dimensional backward-facing step. In the first part, a Newtonian steady code to solve the incompressible Navier–Stokes (N–S) equations has been developed. The accuracy of the code is verified by comparing the results to the experimental results. An exact projection method/fractional-step scheme is used to solve the incompressible N–S equations. Convective terms of the N–S equations are solved using fifth-order WENO spatial operators, and for the diffusion terms, a sixth- order compact central difference scheme is employed. The third-order Runge–Kutta (R–K) explicit time-integrating scheme with total variation diminishing (TVD) is adopted for time discretization. In the second part, the pulsatile behavior of the Newtonian blood flow has been added to the initial program. Thirdly, the numerical code has been extended to include the steady and pulsatile effects in non-Newtonian blood flow. Finally, a practical example of bend tube has been analyzed by extending the two-dimensional code to 3D and the results are compared to already published data.