A projection method for the spectral solution of non-homogeneous and incompressible Navier-Stokes equations
Autor: | Bastien Di Pierro, Malek Abid |
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Rok vydání: | 2012 |
Předmět: |
Applied Mathematics
Mechanical Engineering Computational Mechanics Direct numerical simulation Geometry 010103 numerical & computational mathematics Non-dimensionalization and scaling of the Navier–Stokes equations 01 natural sciences 010305 fluids & plasmas Computer Science Applications Physics::Fluid Dynamics Mechanics of Materials Pressure-correction method 0103 physical sciences Hagen–Poiseuille flow from the Navier–Stokes equations Projection method Applied mathematics 0101 mathematics Navier–Stokes equations Reynolds-averaged Navier–Stokes equations Spectral method Mathematics |
Zdroj: | International Journal for Numerical Methods in Fluids. 71:1029-1054 |
ISSN: | 0271-2091 |
Popis: | This paper is devoted to the development of a parallel, spectral and second-order time-accurate method for solving the incompressible and variable density Navier–Stokes equations. The method is well suited for finite thickness density layers and is very efficient, especially for three-dimensional computations. It is based on an exact projection technique. To enforce incompressibility, for a non-homogeneous fluid, the pressure is computed using an iterative algorithm. A complete study of the convergence properties of this algorithm is done for different density variations. Numerical simulations showing, qualitatively, the capabilities of the developed Navier–Stokes solver for many realistic problems are presented. The numerical procedure is also validated quantitatively by reproducing growth rates from the linear instability theory in a three-dimensional direct numerical simulation of an unstable, non-homogeneous, flow configuration. It is also shown that, even in a turbulent flow, the spectral accuracy is recovered. Copyright © 2012 John Wiley & Sons, Ltd. |
Databáze: | OpenAIRE |
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