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Finite Difference and Finite Volume Techniques for the Solution of Navier-Stokes Equations in Cardiovascular Fluid Mechanics

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Cardiovascular Fluid Mechanics

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 446))

Abstract

The present notes summarize the flow equations involved in cardiovascular-fluid mechanics and the finite difference and finite volume numerical methods that are widely used for the modeling of flow through arteries of large or small size. In the case of flow through large size arteries two numerical methods are presented extensively based on a pressure-correction type methodology and a pseudocompressibility methodology for the solution of steady and unsteady flows through domains of deformable-moving walls. In the case of flow though small size arteries, the level set method is treated for the modeling of the multicomponent flow. Representative flow cases for cardiovascular fluid dynamics are also modeled and solved by using the above methodologies.

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Author information

Authors and Affiliations

  1. Fluids Section, Department of Mechanical Engineering, National Technical University of Athens, Greece

    Sokrates Tsangaris & Theodora Pappou

Authors
  1. Sokrates Tsangaris
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  2. Theodora Pappou
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Editor information

Editors and Affiliations

  1. Universita’ di Trieste, Italy

    Gianni Pedrizzetti

  2. Graz University of Technology, Austria

    Karl Perktold

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© 2003 Springer-Verlag Wien

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Tsangaris, S., Pappou, T. (2003). Finite Difference and Finite Volume Techniques for the Solution of Navier-Stokes Equations in Cardiovascular Fluid Mechanics. In: Pedrizzetti, G., Perktold, K. (eds) Cardiovascular Fluid Mechanics. International Centre for Mechanical Sciences, vol 446. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2542-7_3

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  • DOI: https://doi.org/10.1007/978-3-7091-2542-7_3

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-00538-5

  • Online ISBN: 978-3-7091-2542-7

  • eBook Packages: Springer Book Archive

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