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Computational Techniques for Biological Fluids: From Blood Vessel Scale to Blood Cells

  • Fotis Sotiropoulos
  • Cyrus Aidun
  • Iman Borazjani
  • Robert MacMeccan
Chapter

Abstract

Simulation of flows in the cardiovascular system faces many challenges. Chief among these is the issue of treatment of blood flow at disparate scales. For blood flows through large vessels a Newtonian homogeneous fluid model can be adequate, while in the capillaries and in orifices and constrictions individual blood cells and interactions among blood cells assume importance. Another important feature of flows in the cardiovascular system or in the presence of cardiovascular prostheses is the interaction of blood with moving boundaries (e.g. arterial walls, heart, heart valves, and ventricular assist devices). Computational fluid dynamics has made significant progress in tackling these challenges to the extent that it is now feasible to calculate flows through parts of the cardiovascular system with a great degree of fidelity and physiological realism. This chapter presents fundamental aspects of the demands on and capabilities of numerical solution techniques for solving a variety of blood flow phenomena. Large scale flows with significant fluid inertia and small scale flows with individual blood cells are covered. Applications of the methods and sample results are shown to illustrate the state-of-the-art of computations in cardiovascular biofluid dynamics.

Keywords

Immerse Boundary Method Bileaflet Mechanical Heart Valve Fictitious Domain Method Cardiovascular Flow Local Stress Environment 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

This work was partially supported by a grant from the National Heart, Lung and Blood Institute (R01-HL-070262), the Minnesota Supercomputing Institute, and the National Science Foundation Graduate Research Fellowship.

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Fotis Sotiropoulos
    • 1
  • Cyrus Aidun
    • 2
  • Iman Borazjani
    • 3
  • Robert MacMeccan
    • 2
  1. 1.St. Anthony Falls Laboratory, Department of Civil EngineeringUniversity of MinnesotaMinneapolisUSA
  2. 2.George W. Woodruff School of Mechanical Engineering, Georgia Institute of TechnologyAtlantaUSA
  3. 3.Mechanical and Aerospace Engineering DepartmentSUNY University at BuffaloBuffaloUSA

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