Numerical solution of steady and unsteady bypass flow

Prokop, Vladimír; Kozel, Karel

Displaying similar documents to “Numerical solution of steady and unsteady bypass flow”

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

Keslerová, Radka, Kozel, Karel

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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...

Numerical solution of Newtonian flow in bypass and non-Newtonian flow in branching channels

Keslerová, R., Kozel, K., Prokop, V.

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This paper deals with the numerical solution of Newtonian and non-Newtonian flows. The flows are supposed to be laminar, viscous, incompressible and steady. The model used for non-Newtonian fluids is a variant of the power-law. Governing equations in this model are incompressible Navier-Stokes equations. For numerical solution we could use artificial compressibility method with three stage Runge-Kutta method and finite volume method in cell centered formulation for discretization of...

An unsteady numerical solution of viscous compressible flows in a channel

Punčochářová, Petra, Kozel, Karel, Fürst, Jiří, Horáček, Jaromír

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The work deals with numerical solution of unsteady flows in a 2D channel where one part of the channel wall is changing as a given function of time. The flow is described by the system of Navier-Stokes equations for compressible (laminar) flows. The flow has low velocities (low Mach numbers) and is numerically solved by the finite volume method. Moving grid of quadrilateral cells is considered in the form of conservation laws using ALE (Arbitrary Lagrangian-Eulerian) method. ...

Numerical approximation of flow in a symmetric channel with vibrating walls

Sváček, Petr, Horáček, Jaromír

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In this paper the numerical solution of two dimensional fluid-structure interaction problem is addressed. The fluid motion is modelled by the incompressible unsteady Navier-Stokes equations. The spatial discretization by stabilized finite element method is used. The motion of the computational domain is treated with the aid of Arbitrary Lagrangian Eulerian (ALE) method. The time-space problem is solved with the aid of multigrid method. The method is applied onto a problem of interaction...

On mathematical modelling of gust response using the finite element method

Sváček, Petr, Horáček, Jaromír

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In this paper the numerical approximation of aeroelastic response to sudden gust is presented. The fully coupled formulation of two dimensional incompressible viscous fluid flow over a flexibly supported structure is used. The flow is modelled with the system of Navier-Stokes equations written in Arbitrary Lagrangian-Eulerian form and coupled with system of ordinary differential equations describing the airfoil vibrations with two degrees of freedom. The Navier-Stokes equations are spatially...

Steady and unsteady 2D numerical solution of generalized Newtonian fluids flow

Keslerová, Radka, Kozel, Karel

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This article presents the numerical solution of laminar incompressible viscous flow in a branching channel for generalized Newtonian fluids. The governing system of equations is based on the system of balance laws for mass and momentum. The generalized Newtonian fluids differ through choice of a viscosity function. A power-law model with different values of power-law index is used. Numerical solution of the described models is based on cell-centered finite volume method using explicit...