Numerical solution of steady and unsteady bypass flow

Prokop, Vladimír; Kozel, Karel

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 191-195

Abstract

top
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.

How to cite

top

Prokop, Vladimír, and Kozel, Karel. "Numerical solution of steady and unsteady bypass flow." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2004. 191-195. <http://eudml.org/doc/271426>.

@inProceedings{Prokop2004,
abstract = {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.},
author = {Prokop, Vladimír, Kozel, Karel},
booktitle = {Programs and Algorithms of Numerical Mathematics},
location = {Prague},
pages = {191-195},
publisher = {Institute of Mathematics AS CR},
title = {Numerical solution of steady and unsteady bypass flow},
url = {http://eudml.org/doc/271426},
year = {2004},
}

TY - CLSWK
AU - Prokop, Vladimír
AU - Kozel, Karel
TI - Numerical solution of steady and unsteady bypass flow
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2004
CY - Prague
PB - Institute of Mathematics AS CR
SP - 191
EP - 195
AB - 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.
UR - http://eudml.org/doc/271426
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.