Spectral/hp Element Methods for Computational Fluid Dynamics PDF Download

Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Spectral/hp Element Methods for Computational Fluid Dynamics PDF full book. Access full book title Spectral/hp Element Methods for Computational Fluid Dynamics by George Karniadakis. Download full books in PDF and EPUB format.

Spectral/hp Element Methods for Computational Fluid Dynamics

Spectral/hp Element Methods for Computational Fluid Dynamics PDF Author: George Karniadakis
Publisher: Oxford University Press
ISBN: 0199671362
Category : Mathematics
Languages : en
Pages : 676
Book Description
Revision of: Spectral/hp element methods for CFD. 1999.

Spectral/hp Element Methods for Computational Fluid Dynamics

Spectral/hp Element Methods for Computational Fluid Dynamics PDF Author: George Karniadakis
Publisher: Oxford University Press
ISBN: 0199671362
Category : Mathematics
Languages : en
Pages : 676
Book Description
Revision of: Spectral/hp element methods for CFD. 1999.

Spectral/hp Element Methods for CFD

Spectral/hp Element Methods for CFD PDF Author: George Karniadakis
Publisher: Oxford University Press on Demand
ISBN: 0195102266
Category : Mathematics
Languages : en
Pages : 406
Book Description
Traditionally spectral methods in fluid dynamics were used in direct and large eddy simulations of turbulent flow in simply connected computational domains. The methods are now being applied to more complex geometries, and the spectral/hp element method, which incorporates both multi-domain spectral methods and high-order finite element methods, has been particularly successful. This book provides a comprehensive introduction to these methods. Written by leaders in the field, the book begins with a full explanation of fundamental concepts and implementation issues. It then illustrates how these methods can be applied to advection-diffusion and to incompressible and compressible Navier-Stokes equations. Drawing on both published and unpublished material, the book is an important resource for experienced researchers and for those new to the field.

High-Order Methods for Computational Physics

High-Order Methods for Computational Physics PDF Author: Timothy J. Barth
Publisher: Springer Science & Business Media
ISBN: 9783540658931
Category : Mathematics
Languages : en
Pages : 608
Book Description
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.

Adaptive High-Order Methods in Computational Fluid Dynamics

Adaptive High-Order Methods in Computational Fluid Dynamics PDF Author:
Publisher:
ISBN: 9814464694
Category :
Languages : en
Pages :
Book Description


Efficient High-Order Discretizations for Computational Fluid Dynamics

Efficient High-Order Discretizations for Computational Fluid Dynamics PDF Author: Martin Kronbichler
Publisher: Springer Nature
ISBN: 3030606104
Category : Technology & Engineering
Languages : en
Pages : 311
Book Description
The book introduces modern high-order methods for computational fluid dynamics. As compared to low order finite volumes predominant in today's production codes, higher order discretizations significantly reduce dispersion errors, the main source of error in long-time simulations of flow at higher Reynolds numbers. A major goal of this book is to teach the basics of the discontinuous Galerkin (DG) method in terms of its finite volume and finite element ingredients. It also discusses the computational efficiency of high-order methods versus state-of-the-art low order methods in the finite difference context, given that accuracy requirements in engineering are often not overly strict. The book mainly addresses researchers and doctoral students in engineering, applied mathematics, physics and high-performance computing with a strong interest in the interdisciplinary aspects of computational fluid dynamics. It is also well-suited for practicing computational engineers who would like to gain an overview of discontinuous Galerkin methods, modern algorithmic realizations, and high-performance implementations.

Computational Fluid Dynamics Review 2010

Computational Fluid Dynamics Review 2010 PDF Author:
Publisher:
ISBN: 9814464643
Category :
Languages : en
Pages :
Book Description


A Posteriori Error Estimation Techniques for Finite Element Methods

A Posteriori Error Estimation Techniques for Finite Element Methods PDF Author: Rüdiger Verfürth
Publisher: OUP Oxford
ISBN: 019166877X
Category : Mathematics
Languages : en
Pages : 416
Book Description
Self-adaptive discretization methods are now an indispensable tool for the numerical solution of partial differential equations that arise from physical and technical applications. The aim is to obtain a numerical solution within a prescribed tolerance using a minimal amount of work. The main tools in achieving this goal are a posteriori error estimates which give global and local information on the error of the numerical solution and which can easily be computed from the given numerical solution and the data of the differential equation. This book reviews the most frequently used a posteriori error estimation techniques and applies them to a broad class of linear and nonlinear elliptic and parabolic equations. Although there are various approaches to adaptivity and a posteriori error estimation, they are all based on a few common principles. The main aim of the book is to elaborate these basic principles and to give guidelines for developing adaptive schemes for new problems. Chapters 1 and 2 are quite elementary and present various error indicators and their use for mesh adaptation in the framework of a simple model problem. The basic principles are introduced using a minimal amount of notations and techniques providing a complete overview for the non-specialist. Chapters 4-6 on the other hand are more advanced and present a posteriori error estimates within a general framework using the technical tools collected in Chapter 3. Most sections close with a bibliographical remark which indicates the historical development and hints at further results.

High-Order Methods for Computational Physics

High-Order Methods for Computational Physics PDF Author: Timothy J. Barth
Publisher: Springer
ISBN: 9783662038840
Category : Mathematics
Languages : en
Pages : 587
Book Description
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.

Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018

Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 PDF Author: Spencer J. Sherwin
Publisher: Springer Nature
ISBN: 3030396479
Category : Mathematics
Languages : en
Pages : 658
Book Description
This open access book features a selection of high-quality papers from the presentations at the International Conference on Spectral and High-Order Methods 2018, offering an overview of the depth and breadth of the activities within this important research area. The carefully reviewed papers provide a snapshot of the state of the art, while the extensive bibliography helps initiate new research directions.

Computational Fluid Dynamics 2010

Computational Fluid Dynamics 2010 PDF Author: Alexander Kuzmin
Publisher: Springer Science & Business Media
ISBN: 3642178847
Category : Technology & Engineering
Languages : en
Pages : 954
Book Description
The International Conference on Computational Fluid Dynamics is held every two years and brings together physicists, mathematicians and engineers to review and share recent advances in mathematical and computational techniques for modeling fluid flow. The proceedings of the 2010 conference (ICCFD6) held in St Petersburg, Russia, contain a selection of refereed contributions and are meant to serve as a source of reference for all those interested in the state of the art in computational fluid dynamics.