Spectral Hp Element Methods For Cfd
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Spectral Hp Element Methods For Cfd
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Author : George Karniadakis
language : en
Publisher: Oxford University Press, USA
Release Date : 1999
Spectral Hp Element Methods For Cfd written by George Karniadakis and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Finite element method categories.
This book is an essential reference for anyone interested in the use of spectral/hp element methods in fluid dynamics. It provides a comprehensive introduction to the field together with detailed examples of the methods to the incompressible and compressible Navier-Stokes equations.
Spectral Hp Element Methods For Computational Fluid Dynamics
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Author : George Karniadakis
language : en
Publisher: OUP Oxford
Release Date : 2005-06-02
Spectral Hp Element Methods For Computational Fluid Dynamics written by George Karniadakis and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-02 with Mathematics categories.
Spectral methods have long been popular in direct and large eddy simulation of turbulent flows, but their use in areas with complex-geometry computational domains has historically been much more limited. More recently the need to find accurate solutions to the viscous flow equations around complex configurations has led to the development of high-order discretisation procedures on unstructured meshes, which are also recognised as more efficient for solution of time-dependent oscillatory solutions over long time periods. Here Karniadakis and Sherwin present a much-updated and expanded version of their successful first edition covering the recent and significant progress in multi-domain spectral methods at both the fundamental and application level. Containing over 50% new material, including discontinuous Galerkin methods, non-tensorial nodal spectral element methods in simplex domains, and stabilisation and filtering techniques, this text aims to introduce a wider audience to the use of spectral/hp element methods with particular emphasis on their application to unstructured meshes. It provides a detailed explanation of the key concepts underlying the methods along with practical examples of their derivation and application, and is aimed at students, academics and practitioners in computational fluid mechanics, applied and numerical mathematics, computational mechanics, aerospace and mechanical engineering and climate/ocean modelling.
Spectral Hp Element Methods For Computational Fluid Dynamics
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Author : George Karniadakis
language : en
Publisher:
Release Date : 2005
Spectral Hp Element Methods For Computational Fluid Dynamics written by George Karniadakis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Finite element method categories.
Spectral Hp Element Methods For Computational Fluid Dynamics
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Author :
language : en
Publisher:
Release Date : 2005
Spectral Hp Element Methods For Computational Fluid Dynamics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Finite element method categories.
This edition includes new material on discontinuous Galerkin methods, non-tensorial nodal spectral element methods in simplex domains, and stabilisation and filtering techniques.
Stochastic Spectral Hp Element Methods For Cfd And Mhd Simulations
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Author :
language : en
Publisher:
Release Date : 2006
Stochastic Spectral Hp Element Methods For Cfd And Mhd Simulations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.
Multi-Element Polynomial Chaos: Generalized polynomial chaos (gPC) or Wiener-Askey expansions is a method developed by the PI and his students. This method is similar to spectral techniques - but in high-dimensions - so both Galerkin and collocation projections can be employed to produce the algebraic equations from the partial differential equations.
Spectral Hp Element Methods For Computational Fluid Dynamics
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Author : George Karniadakis
language : en
Publisher: American Chemical Society
Release Date : 2013-01-10
Spectral Hp Element Methods For Computational Fluid Dynamics written by George Karniadakis and has been published by American Chemical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-10 with Mathematics categories.
Revision of: Spectral/hp element methods for CFD. 1999.
Spectral Spectral Element And Hp Methods In Cfd
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Author : George Karniadakis
language : en
Publisher:
Release Date : 1999
Spectral Spectral Element And Hp Methods In Cfd written by George Karniadakis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Computational fluid dynamics categories.
High Order Methods For Computational Physics
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Author : Timothy J. Barth
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
High Order Methods For Computational Physics written by Timothy J. Barth 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 2013-03-09 with Mathematics categories.
The development of high-order accurate numerical discretization techniques for irregular domains and meshes is often cited as one of the remaining chal lenges facing the field of computational fluid dynamics. In structural me chanics, the advantages of high-order finite element approximation are widely recognized. This is especially true when high-order element approximation is combined with element refinement (h-p refinement). In computational fluid dynamics, high-order discretization methods are infrequently used in the com putation of compressible fluid flow. The hyperbolic nature of the governing equations and the presence of solution discontinuities makes high-order ac curacy difficult to achieve. Consequently, second-order accurate methods are still predominately used in industrial applications even though evidence sug gests that high-order methods may offer a way to significantly improve the resolution and accuracy for these calculations. To address this important topic, a special course was jointly organized by the Applied Vehicle Technology Panel of NATO's Research and Technology Organization (RTO), the von Karman Institute for Fluid Dynamics, and the Numerical Aerospace Simulation Division at the NASA Ames Research Cen ter. The NATO RTO sponsored course entitled "Higher Order Discretization Methods in Computational Fluid Dynamics" was held September 14-18,1998 at the von Karman Institute for Fluid Dynamics in Belgium and September 21-25,1998 at the NASA Ames Research Center in the United States.
Hp Spectral Methods For Structural Mechanics And Fluid Dynamics Problems
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Author : Rakesh Ranjan
language : en
Publisher:
Release Date : 2011
Hp Spectral Methods For Structural Mechanics And Fluid Dynamics Problems written by Rakesh Ranjan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
We consider the usage of higher order spectral element methods for the solution of problems in structures and fluid mechanics areas. In structures applications we study different beam theories, with mixed and displacement based formulations, consider the analysis of plates subject to external loadings, and large deformation analysis of beams with continuum based formulations. Higher order methods alleviate the problems of locking that have plagued finite element method applications to structures, and also provide for spectral accuracy of the solutions. For applications in computational fluid dynamics areas we consider the driven cavity problem with least squares based finite element methods. In the context of higher order methods, efficient techniques need to be devised for the solution of the resulting algebraic systems of equations and we explore the usage of element by element bi-orthogonal conjugate gradient solvers for solving problems effectively along with domain decomposition algorithms for fluid problems. In the context of least squares finite element methods we also explore the usage of Multigrid techniques to obtain faster convergence of the the solutions for the problems of interest. Applications of the traditional Lagrange based finite element methods with the Penalty finite element method are presented for modelling porous media flow problems. Finally, we explore applications to some CFD problems namely, the flow past a cylinder and forward facing step.
Spectral Elements For Transport Dominated Equations
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Author : Daniele Funaro
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-04-17
Spectral Elements For Transport Dominated Equations written by Daniele Funaro 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 1997-04-17 with Language Arts & Disciplines categories.
The book deals with the numerical approximation of various PDEs using the spectral element method, with particular emphasis for elliptic equations dominated by first-order terms. It provides a simple introduction to spectral elements with additional new tools (upwind grids and preconditioners). Applications to fluid dynamics and semiconductor devices are considered, as well as in other models were transport-diffusion equations arise. The aim is to provide the reader with both introductive and more advanced material on spectral Legendre collocation methods. The book however does not cover all the aspects of spectral methods. Engineers, physicists and applied mathematicians may study how to implement the collocation method and use the results to improve their computational codes.