Publication

Simulation of the Taylor-Couette flow in a finite geometry by spectral element method

Michel Deville
2000
Journal Articles

Abstract

The purpose of the present numerical method is to simulate the flow in between two concentric cylinders of finite axial length. The numerical integration of the transient three-dimensional incompressible Navier-Stokes equations is performed by a Legendre spectral element method in space while the time marching scheme is fully explicit. By taking full advantage of the tensor product bases, it is possible to set up fast diagonalization techniques in order to speed up the solver. Numerical results are compared favorably with experimental data. (C) 2000 IMACS. Published by Elsevier Science B.V. All rights reserved.

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https://infoscience.epfl.ch/entities/publication/7e11d9ae-ed6a-4e21-9a99-277e5a3822fc

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Michel Deville
2000
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/7e11d9ae-ed6a-4e21-9a99-277e5a3822fc

About this result

Related concepts (27)

Stokes flow

Stokes flow (named after George Gabriel Stokes), also named creeping flow or creeping motion, is a type of fluid flow where advective inertial forces are small compared with viscous forces. The Reynolds number is low, i.e. . This is a typical situation in flows where the fluid velocities are very slow, the viscosities are very large, or the length-scales of the flow are very small. Creeping flow was first studied to understand lubrication. In nature, this type of flow occurs in the swimming of microorganisms and sperm.

Fluid dynamics

In physics, physical chemistry and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids—liquids and gases. It has several subdisciplines, including aerodynamics (the study of air and other gases in motion) and hydrodynamics (the study of liquids in motion). Fluid dynamics has a wide range of applications, including calculating forces and moments on aircraft, determining the mass flow rate of petroleum through pipelines, predicting weather patterns, understanding nebulae in interstellar space and modelling fission weapon detonation.

Tensor product

In mathematics, the tensor product of two vector spaces V and W (over the same field) is a vector space to which is associated a bilinear map that maps a pair to an element of denoted An element of the form is called the tensor product of v and w. An element of is a tensor, and the tensor product of two vectors is sometimes called an elementary tensor or a decomposable tensor. The elementary tensors span in the sense that every element of is a sum of elementary tensors.

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Simulation of the Taylor-Couette flow in a finite geometry by spectral element method

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