Spectral Methods For Compressible Flow Problems

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Spectral Methods For Compressible Flow Problems

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Author : National Aeronautics and Space Administration (NASA)
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-08-06

Spectral Methods For Compressible Flow Problems written by National Aeronautics and Space Administration (NASA) and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-06 with categories.

Recent results concerning numerical simulation of shock waves using spectral methods are reviewed. Shock fitting techniques were discussed as well as shock capturing techniques with finite difference artificial viscosity. Also the notion of the information contained in the numerical results obtained by spectral methods and show how this information is recovered was discussed. Gottlieb, D. Langley Research Center NASA-CR-172395, NAS 1.26:172395, ICASE-84-29 NAS1-17070; RTOP 505-31-83

Spectral Methods In Compressible Flow Problems

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Author : William D. Lakin
language : en
Publisher:
Release Date : 1981

Spectral Methods In Compressible Flow Problems written by William D. Lakin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Shock tubes categories.

Spectral Methods For Compressible Flow Problems

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Author : David Gottlieb
language : en
Publisher:
Release Date : 1984

Spectral Methods For Compressible Flow Problems written by David Gottlieb and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Shock waves categories.

Spectral Methods

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Author : Claudio Canuto
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-30

Spectral Methods written by Claudio Canuto and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-30 with Mathematics categories.

Following up the seminal Spectral Methods in Fluid Dynamics, Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics contains an extensive survey of the essential algorithmic and theoretical aspects of spectral methods for complex geometries. These types of spectral methods were only just emerging at the time the earlier book was published. The discussion of spectral algorithms for linear and nonlinear fluid dynamics stability analyses is greatly expanded. The chapter on spectral algorithms for incompressible flow focuses on algorithms that have proven most useful in practice, has much greater coverage of algorithms for two or more non-periodic directions, and shows how to treat outflow boundaries. Material on spectral methods for compressible flow emphasizes boundary conditions for hyperbolic systems, algorithms for simulation of homogeneous turbulence, and improved methods for shock fitting. This book is a companion to Spectral Methods: Fundamentals in Single Domains.

Spectral Methods For Discontinuities

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Author : Gottlieb
language : en
Publisher:
Release Date : 1985

Spectral Methods For Discontinuities written by Gottlieb and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.

The investigators pursued research on the use of spectral methods in computational fluid dynamics. The implementation is examined for the solution of time dependent partial differential equations. Other topics pursued included the adaptation of spectral methods for compressible flow problems involving shocks, and the exploration of information content in spectral calculations. Papers produced during this effort included such titles as Spectral methods for time dependent partial differential equations, recovering pointwise values of discontinuous data within spectral accuracy, and Information content in spectral calculations.

Spectral Methods For Uncertainty Quantification

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Author : Olivier Le Maitre
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-11

Spectral Methods For Uncertainty Quantification written by Olivier Le Maitre and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-11 with Science categories.

This book deals with the application of spectral methods to problems of uncertainty propagation and quanti?cation in model-based computations. It speci?cally focuses on computational and algorithmic features of these methods which are most useful in dealing with models based on partial differential equations, with special att- tion to models arising in simulations of ?uid ?ows. Implementations are illustrated through applications to elementary problems, as well as more elaborate examples selected from the authors’ interests in incompressible vortex-dominated ?ows and compressible ?ows at low Mach numbers. Spectral stochastic methods are probabilistic in nature, and are consequently rooted in the rich mathematical foundation associated with probability and measure spaces. Despite the authors’ fascination with this foundation, the discussion only - ludes to those theoretical aspects needed to set the stage for subsequent applications. The book is authored by practitioners, and is primarily intended for researchers or graduate students in computational mathematics, physics, or ?uid dynamics. The book assumes familiarity with elementary methods for the numerical solution of time-dependent, partial differential equations; prior experience with spectral me- ods is naturally helpful though not essential. Full appreciation of elaborate examples in computational ?uid dynamics (CFD) would require familiarity with key, and in some cases delicate, features of the associated numerical methods. Besides these shortcomings, our aim is to treat algorithmic and computational aspects of spectral stochastic methods with details suf?cient to address and reconstruct all but those highly elaborate examples.

Iterative Spectral Methods And Spectral Solutions To Compressible Flows

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Author : M. Yousuff Hussaini
language : en
Publisher:
Release Date : 1982

Iterative Spectral Methods And Spectral Solutions To Compressible Flows written by M. Yousuff Hussaini and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Gas dynamics categories.

"A spectral multi-grid scheme is described which can solve pseudospectral discretizations of self-adjoint elliptic problems in 0(N log N) operations. An iterative technique for efficiently implementing semi-implicit time-stepping for pseudospectral discretizations of Navier-Stokes equations is discussed. This approach can handle variable coefficient terms in an effective manner. Pseudospectral solutions of compressible flow problems are presented. These include one-dimensional problems and two-dimensional Euler solutions. Results are given both for shock-capturing approaches and for shock-fitting ones" -- abstract.

Spectral Methods For Time Dependent Partial Differential Equations

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Author : David Gottlieb
language : en
Publisher:
Release Date : 1986

Spectral Methods For Time Dependent Partial Differential Equations written by David Gottlieb and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.

This document discusses briefly the following research topics: 1) Spectral methods for time dependent partial differential equations; 2) Spectral methods for compressible flow problems; 3) Recovering pointwise values of discontinuous data within spectral accuracy; 4) Information content in spectral calculations; 5) Spectral methods for discontinuous problems; 6) Stability and Lyapunov stability of dynamical systems: a differential approach and a numerical method; and 7) boundary conditions for incompressible flows.

Spectral Methods For The Euler Equations

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Author :
language : en
Publisher:
Release Date : 1984

Spectral Methods For The 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 1984 with categories.

Computational Methods For Fluid Flow

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Author : Roger Peyret
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Computational Methods For Fluid Flow written by Roger Peyret and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

In developing this book, we decided to emphasize applications and to provide methods for solving problems. As a result, we limited the mathematical devel opments and we tried as far as possible to get insight into the behavior of numerical methods by considering simple mathematical models. The text contains three sections. The first is intended to give the fundamen tals of most types of numerical approaches employed to solve fluid-mechanics problems. The topics of finite differences, finite elements, and spectral meth ods are included, as well as a number of special techniques. The second section is devoted to the solution of incompressible flows by the various numerical approaches. We have included solutions of laminar and turbulent-flow prob lems using finite difference, finite element, and spectral methods. The third section of the book is concerned with compressible flows. We divided this last section into inviscid and viscous flows and attempted to outline the methods for each area and give examples.