Displaying similar documents to “On numerical solution of the incompressible Navier-Stokes equations with static or total pressure specified on boundaries.”

On using artificial compressibility method for solving turbulent flows

Louda, Petr, Kozel, Karel, Příhoda, Jaromír

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In this work, artificial compressibility method is used to solve steady and unsteady flows of viscous incompressible fluid. The method is based on implicit higher order upwind discretization of Navier-Stokes equations. The extension for unsteady simulation is considered by increasing artificial compressibility parameter or by using dual time stepping. The methods are tested on laminar flow around circular cylinder and used to simulate turbulent unsteady flows by URANS approach. The simulated...

On fully developed flows of fluids with a pressure dependent viscosity in a pipe

Macherla Vasudevaiah, Kumbakonam R. Rajagopal (2005)

Applications of Mathematics

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Stokes recognized that the viscosity of a fluid can depend on the normal stress and that in certain flows such as flows in a pipe or in channels under normal conditions, this dependence can be neglected. However, there are many other flows, which have technological significance, where the dependence of the viscosity on the pressure cannot be neglected. Numerous experimental studies have unequivocally shown that the viscosity depends on the pressure, and that this dependence can be quite...

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. ...