Governing Equations of Blood Flow and Respective Numerical Methods



Coronary heart disease which is a major cause of heart failure in the United States has a focal nature which is due to local hemodynamic disturbances. The computational fluid dynamics (CFD) method has become a powerful approach to understand blood flows in the cardiovascular system and its local features. This chapter outlines the field equations for blood flow and some of the approaches for numerical solutions. Specifically, the text focuses on the finite difference (FD) and finite element (FE) methods with applications to blood flow dynamics in coronary arteries.


Wall Shear Stress Left Anterior Descend Finite Difference Method Primary Branch Main Trunk 
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These studies were supported in part by the National Institute of Health–National Heart, Lung, and Blood Institute Grants 2 R01 HL055554-11, HL084529, and HL087235 (Kassab, G. S.) and the American Heart Association Scientist Development Grant 0830181 N (Huo, Y.).


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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of Biomedical Engineering, Surgery, and Cellular and Integrative PhysiologyIUPUIIndianapolisUSA
  2. 2.Weldon School of Biomedical EngineeringPurdue UniversityWest LafayetteUSA
  3. 3.Department of Biomedical Engineering Department of Surgery Department of Cellular and Integrative Physiology Indiana Center for Vascular Biology and MedicineIUPUIIndianapolisUSA

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