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Numerical solution of 2D and 3D incompressible laminar flows through a branching channel

Keslerová, Radka; Kozel, Karel

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 94-101

Abstract

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In this paper, we are concerned with the numerical solution of 2D/3D flows through a branching channel where viscous incompressible laminar fluid flow is considered. The mathematical model in this case can be described by the system of the incompressible Navier-Stokes equations and the continuity equation. In order to obtain the steady state solution the artificial compressibility method is applied. The finite volume method is used for spatial discretization. The arising system of ordinary differential equations (ODE) is solved by a multistage Runge-Kutta method. Numerical results for both 2D and 3D cases are presented.

How to cite

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Keslerová, Radka, and Kozel, Karel. "Numerical solution of 2D and 3D incompressible laminar flows through a branching channel." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2004. 94-101. <http://eudml.org/doc/271282>.

@inProceedings{Keslerová2004,
abstract = {In this paper, we are concerned with the numerical solution of 2D/3D flows through a branching channel where viscous incompressible laminar fluid flow is considered. The mathematical model in this case can be described by the system of the incompressible Navier-Stokes equations and the continuity equation. In order to obtain the steady state solution the artificial compressibility method is applied. The finite volume method is used for spatial discretization. The arising system of ordinary differential equations (ODE) is solved by a multistage Runge-Kutta method. Numerical results for both 2D and 3D cases are presented.},
author = {Keslerová, Radka, Kozel, Karel},
booktitle = {Programs and Algorithms of Numerical Mathematics},
location = {Prague},
pages = {94-101},
publisher = {Institute of Mathematics AS CR},
title = {Numerical solution of 2D and 3D incompressible laminar flows through a branching channel},
url = {http://eudml.org/doc/271282},
year = {2004},
}

TY - CLSWK
AU - Keslerová, Radka
AU - Kozel, Karel
TI - Numerical solution of 2D and 3D incompressible laminar flows through a branching channel
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2004
CY - Prague
PB - Institute of Mathematics AS CR
SP - 94
EP - 101
AB - In this paper, we are concerned with the numerical solution of 2D/3D flows through a branching channel where viscous incompressible laminar fluid flow is considered. The mathematical model in this case can be described by the system of the incompressible Navier-Stokes equations and the continuity equation. In order to obtain the steady state solution the artificial compressibility method is applied. The finite volume method is used for spatial discretization. The arising system of ordinary differential equations (ODE) is solved by a multistage Runge-Kutta method. Numerical results for both 2D and 3D cases are presented.
UR - http://eudml.org/doc/271282
ER -

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