Embedding Methods for the Steady Euler Equations PDF Download
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Author:
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ISBN:
Category :
Languages : en
Pages : 16
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 16
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Author: Richard A. Shapiro
Publisher: Vieweg+Teubner Verlag
ISBN: 3322878791
Category : Technology & Engineering
Languages : en
Pages : 180
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Book Description
This monograph is the result of my PhD thesis work in Computational Fluid Dynamics at the Massachusettes Institute of Technology under the supervision of Professor Earll Murman. A new finite element al gorithm is presented for solving the steady Euler equations describing the flow of an inviscid, compressible, ideal gas. This algorithm uses a finite element spatial discretization coupled with a Runge-Kutta time integration to relax to steady state. It is shown that other algorithms, such as finite difference and finite volume methods, can be derived using finite element principles. A higher-order biquadratic approximation is introduced. Several test problems are computed to verify the algorithms. Adaptive gridding in two and three dimensions using quadrilateral and hexahedral elements is developed and verified. Adaptation is shown to provide CPU savings of a factor of 2 to 16, and biquadratic elements are shown to provide potential savings of a factor of 2 to 6. An analysis of the dispersive properties of several discretization methods for the Euler equations is presented, and results allowing the prediction of dispersive errors are obtained. The adaptive algorithm is applied to the solution of several flows in scramjet inlets in two and three dimensions, demonstrat ing some of the varied physics associated with these flows. Some issues in the design and implementation of adaptive finite element algorithms on vector and parallel computers are discussed.
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Category : Aeronautics
Languages : en
Pages : 292
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Author: Robert W. Walters
Publisher:
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Category : Aerodynamics
Languages : en
Pages : 24
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Author: M. S. Liou
Publisher:
ISBN:
Category : Aerodynamics
Languages : en
Pages : 10
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Author:
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ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 400
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Author:
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ISBN:
Category : Aeronautics
Languages : en
Pages : 230
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Author: Albrecht Eberle
Publisher: Vieweg+Teubner Verlag
ISBN: 3663068315
Category : Mathematics
Languages : en
Pages : 456
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Book Description
The last decade has seen a dramatic increase of our abilities to solve numerically the governing equations of fluid mechanics. In design aerodynamics the classical potential-flow methods have been complemented by higher modelling-level methods. Euler solvers, and for special purposes, already Navier-Stokes solvers are in use. The authors of this book have been working on the solution of the Euler equations for quite some time. While the first two of us have worked mainly on algorithmic problems, the third has been concerned off and on with modelling and application problems of Euler methods. When we started to write this book we decided to put our own work at the center of it. This was done because we thought, and we leave this to the reader to decide, that our work has attained over the years enough substance in order to justify a book. The problem which we soon faced, was that the field still is moving at a fast pace, for instance because hyper sonic computation problems became more and more important.
Author: Robert W. Walters
Publisher:
ISBN:
Category :
Languages : en
Pages : 24
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Author: Martin F. Paisley
Publisher:
ISBN:
Category : Finite volume method
Languages : en
Pages : 324
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