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Numerical Modeling of Bypass Flow

In: Numerical Mathematics and Advanced Applications

Author

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  • Vladimir Prokop

    (Czech Technical University, Faculty of Mechanical Engineering)

  • Karel Kozel

    (Czech Technical University, Faculty of Mechanical Engineering)

Abstract

Summary This paper deals with problem of numerical solution of laminar viscous incompressible stationary and unstationary flows through vessel with bypass. One could describe these problems using model of Navier-Stokes equations and find steady solution of unsteady system by using multistage Runge-Kutta method together with time dependent artificial compressibility method. Non-stationary solution is achieved from initial stationary solution by prescribing of nonstationary outlet conditions. Some results of numerical solution of cardiovascular problems are presented: stationary and unstationary 2D flows in a vessel and a bypass.

Suggested Citation

  • Vladimir Prokop & Karel Kozel, 2004. "Numerical Modeling of Bypass Flow," Springer Books, in: Miloslav Feistauer & Vít Dolejší & Petr Knobloch & Karel Najzar (ed.), Numerical Mathematics and Advanced Applications, pages 708-715, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-18775-9_69
    DOI: 10.1007/978-3-642-18775-9_69
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