Adaptive Finite Element Solution Algorithm For The Euler Equations

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Adaptive Finite Element Solution Algorithm For The Euler Equations

Adaptive Finite Element Solution Algorithm For The Euler Equations written by Richard A. Shapiro and has been published by Vieweg+Teubner Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-08 with Technology & Engineering categories.

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.

An Adaptive Finite Element Solution Algorithm For The Euler Equations

An Adaptive Finite Element Solution Algorithm For The Euler Equations written by Richard Abraham Shapiro and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.

Adaptive Finite Element Solution Algorithm For The Euler Equations

Adaptive Finite Element Solution Algorithm For The Euler Equations written by Richard A. Shapiro and has been published by Notes on Numerical Fluid Mechanics and Multidisciplinary Design this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Science categories.

Based on the author's Ph. D. thesis (Massachusetts Institute of Technology).

International Aerospace Abstracts

International Aerospace Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Aeronautics categories.

Aiaa 27th Aerospace Sciences Meeting

Aiaa 27th Aerospace Sciences Meeting written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Aeronautics categories.

Adaptive Finite Element Methods For The Compressible Euler Equations

Adaptive Finite Element Methods For The Compressible Euler Equations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.

In this thesis we introduce a discontinuous Galerkin method for the numerical solution of hyperbolic conversation laws, as for example the compressible Euler equations of gas dynamics. Based on this finite element method, we develop an adaptive algorithm for the efficient computation of physically relevant quantities of the solution. This includes a posteriori error estimation of the error in the computed quantity as well as adaptive mesh design specifically tailored to the efficient computation of this quantity. We illustrate this approach by several different hyperbolic problems in combination with various different target quantities, including the efficient computation of drag and lift coefficients of airfoils immersed in inviscid compressible gas flows.

Beitr Ge Zur Physik Der Atmosph Re

Beitr Ge Zur Physik Der Atmosph Re written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Atmospheric physics categories.

Aiaa 26th Aerospace Sciences Meeting

Aiaa 26th Aerospace Sciences Meeting written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Aeronautics categories.

87 0550 87 0599

87 0550 87 0599 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Aeronautics categories.

Proceedings Of The International Conference On Finite Element Methods In Flow Problems

Proceedings Of The International Conference On Finite Element Methods In Flow Problems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Finite element method categories.