Robust Multigrid Methods for the Steady and Unsteady Incompressible Navier-Stokes Equations in General Coordinates PDF Download
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Author: Cornelis W. Oosterlee
Publisher:
ISBN:
Category : Finite element method
Languages : en
Pages : 168
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Book Description
Author: Cornelis W. Oosterlee
Publisher:
ISBN:
Category : Finite element method
Languages : en
Pages : 168
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Book Description
Author: Cornelis Willebrordus Oosterlee (Mathematicien.)
Publisher:
ISBN:
Category :
Languages : en
Pages : 153
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Book Description
Author: Cornelis Willebrordus Oosterlee
Publisher:
ISBN:
Category :
Languages : en
Pages : 42
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Book Description
Author: C. W. Oosterlee
Publisher:
ISBN:
Category :
Languages : en
Pages : 42
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Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 548
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Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1148
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Book Description
Author: D. Dijkstra
Publisher: Springer Science & Business Media
ISBN: 9401715645
Category : Technology & Engineering
Languages : en
Pages : 251
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Book Description
This book is dedicated to Pieter J. Zandbergen on the occasion of his sixty-fifth birthday. It contains fourteen original contributions written by specialized authors and deals with the application of mathematics and numerical analysis to a wide variety of problems in fluid dynamics and related fields. At present the research field of computational fluid dynamics is growing strongly and the book is therefore of interest to applied mathematicians, theoretical physicists and engineers.
Author: Ruben S. Montero
Publisher:
ISBN:
Category : Anisotropy
Languages : en
Pages : 26
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Book Description
Anisotropies occur naturally in CFD where the simulation of small scale physical phenomena, such as boundary layers at high Reynolds numbers, causes the grid to be highly stretched leading to a slow down in convergence of multigrid methods. Several approaches aimed at making multigrid a robust solver have been proposed and analyzed in literature using the scalar diffusion equation. However, they have been rarely applied to solving more complicated models, like the incompressible Navier-Stokes equations. This paper contains the first published numerical results of the behavior of two popular robust multigrid approaches (alternating-plane smoothers combined with standard coarsening and plane implicit smoothers combined with semi-coarsening) for solving the 3-D incompressible Navier-Stokes equations in the simulation of the driven cavity and a boundary layer over a flat plate on a stretched grid. The discrete operator is obtained using a staggered-grid arrangement of variables with a finite volume technique and second-order accuracy is achieved using defect correction within the multigrid cycle. Grid size, grid stretching and Reynolds number are the factors considered in evaluating the robustness of the multigrid methods. Both approaches yield large increases in convergence rates over cell-implicit smoothers on stretched grids. The combination of plane implicit smoothers and semi-coarsening was found to be fully robust in the fiat plate simulation up to Reynolds numbers 10(exp 6) and the best alternative in the driven cavity simulation for Reynolds numbers above 10(exp 3). The alternating-plane approach exhibits a better behavior for lower Reynolds numbers (below to 10(exp 3) in the driven cavity simulation. A parallel variant of the smoother, tri-plane ordering, presents a good trade-off between convergence and parallel properties.
Author: Wolfgang Hackbusch
Publisher: Springer-Verlag
ISBN: 3322862003
Category : Technology & Engineering
Languages : de
Pages : 251
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Author: Cornelis Willebrordus Oosterlee
Publisher:
ISBN:
Category :
Languages : en
Pages : 16
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