Spectral Hp Element Methods For Cfd

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Spectral Hp Element Methods For Computational Fluid Dynamics

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Author : George Karniadakis
language : en
Publisher: Oxford University Press, USA
Release Date : 2013-01-10

Spectral Hp Element Methods For Computational Fluid Dynamics 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 2013-01-10 with Mathematics categories.

Completely revised and expanded new edition covering the recent and significant progress in multi-domain spectral methods at both the fundamental and application level. Written by leading experts, it is a must-have for students, academics and practitioners in computational fluid mechanics and related fields.

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 :
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.

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.

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.

High Order Spectral Methods On Unstructured Grids

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Author : J. S. Hesthaven
language : en
Publisher:
Release Date : 2001

High Order Spectral Methods On Unstructured Grids written by J. S. Hesthaven and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.

We present an ab initio development of a convergent high-order accurate scheme for the solution of linear conservation laws in geometrically complex domains. As our main example we present a detailed development and analysis of a scheme suitable for the time-domain solution of Maxwell's equations in a three-dimensional domain. The fully unstructured spatial discretization is made possible by the use of high-order nodal basis, employing multivariate Lagrange polynomials defined on the triangles and tetrahedra. Careful choices of the unstructured nodal grid points ensure high-order/spectral accuracy, while the equations themselves are satisfied in a discontinuous Galerkin form with the boundary conditions being enforced weakly through a penalty term. Accuracy, stability, and convergence of the semi-discrete approximation to Maxwell's equations is established rigorously and bounds on the global divergence error are provided. Concerns related to efficient implementations are discussed in detail. This sets the stage for the presentation of examples, verifying the theoretical results, as well as illustrating the versatility, flexibility, and robustness when solving two-and three- dimensional benchmarks in computational electromagnetic. Pure scattering as well as penetration is discussed and high parallel performance of the scheme is demonstrated.

Development Of K Version Of The Finite Element Method

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Author : Junuthula Narasimha Reddy
language : en
Publisher:
Release Date : 2006

Development Of K Version Of The Finite Element Method written by Junuthula Narasimha Reddy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Finite element method categories.

This report summarizes the research carried out under Grant F49620-03-1-0201 on the development of least-squares based finite element models of viscous compressible and incompressible flows as well as shear deformable plates and shells. The main objective of this research was to develop a robust and accurate computational methodology based on least-squares variational principles for the numerical solution of the equations governing plates and shells and viscous incompressible and compressible fluid flows. The use of least-squares principles leads to a variationally unconstrained minimization problem, where compatibility conditions between approximation spaces -such as inf-sup conditions -- never arise. Furthermore, the resulting linear algebraic problem will always have a symmetric positive definite (SPD) coefficient matrix, allowing the use of robust and fast preconditioned conjugate gradient methods for its solution. In this research, the basic theory of least-squares finite element formulations of the equations governing viscous incompressible flows and shear deformable theories of plate and shell structures was carried out and their application through a variety of benchmark problems was illustrated. In the case of fluid flows, penalty least-squares finite element models using high p-levels and low penalty parameters were developed as a good alternative to mixed least-squares finite element models, also developed in the research.

Siam Journal On Scientific Computing

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Author :
language : en
Publisher:
Release Date : 2008

Siam Journal On Scientific Computing written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematical statistics categories.

Advanced Computational Methods In Heat Transfer Viii

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Author : Bengt Sundén
language : en
Publisher: Witpress
Release Date : 2004

Advanced Computational Methods In Heat Transfer Viii written by Bengt Sundén and has been published by Witpress this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Science categories.

This title contains edited versions of papers presented at the Eighth International Conference on Advanced Computational Methods in Heat Transfer. This conference series provides a forum for presentation and discussion of advanced topics, new approaches and application of advanced computational methods to heat transfer problems.

Parallel Multi Scale Algorithms And Applications To Turbulence

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Author : George E. Karniadakis
language : en
Publisher:
Release Date : 1997

Parallel Multi Scale Algorithms And Applications To Turbulence written by George E. Karniadakis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Computational fluid dynamics categories.

This report describes development of a new hierarchical spectral basis appropriate for hp-finite element formulations on unstructured grids consisting of triangular and tetrahedral subdomains. The new multi-resolution basis has the following properties: (1) Jacobi polynomials of mixed weights, (2) Semi-orthogonality, leading to great sparsity, (3) Hierarchical structure, (4) Generalized tensor products, (5) Mixed order expansions, which provides great flexibility in adaptive discretizations, and 6) Gauss-Jacobi quadratures that minimize errors in complicated geometries. The accuracy of this method has been tested in two and three dimensions. Importantly, numerical results verified that the new hierarchical basis exhibits convergence even for highly distorted meshes.