This paper deals with a problem of numerical solution of laminar viscous incompressible stationary and nonstationary flows through a vessel with bypass. One could describe these problems by using model of the Navier-Stokes equations and find a steady solution of an unsteady system by using a multistage Runge-Kutta method together with a time dependent artificial compressibility method. Nonstationary 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 nonstationary 2D flows in a vessel and a bypass.

EUDML-ID : urn:eudml:doc:271426

@article{702795,
     title = {Numerical solution of steady and unsteady bypass flow},
     booktitle = {Programs and Algorithms of Numerical Mathematics},
     series = {GDML\_Books},
     publisher = {Institute of Mathematics AS CR},
     address = {Prague},
     year = {2004},
     pages = {191-195},
     url = {http://dml.mathdoc.fr/item/702795}
}

Prokop, Vladimír; Kozel, Karel. Numerical solution of steady and unsteady bypass flow, dans Programs and Algorithms of Numerical Mathematics, GDML_Books,  (2004), pp. 191-195. http://gdmltest.u-ga.fr/item/702795/