Error Estimation And Adaptive Discretization Methods In Computational Fluid Dynamics

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Error Estimation and Adaptive Discretization Methods in Computational Fluid Dynamics

Author : Timothy J. Barth,Herman Deconinck
Publisher : Springer Science & Business Media
Page : 354 pages
File Size : 51,7 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9783662051894

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Error Estimation and Adaptive Discretization Methods in Computational Fluid Dynamics by Timothy J. Barth,Herman Deconinck Pdf

As computational fluid dynamics (CFD) is applied to ever more demanding fluid flow problems, the ability to compute numerical fluid flow solutions to a user specified tolerance as well as the ability to quantify the accuracy of an existing numerical solution are seen as essential ingredients in robust numerical simulation. Although the task of accurate error estimation for the nonlinear equations of CFD seems a daunting problem, considerable effort has centered on this challenge in recent years with notable progress being made by the use of advanced error estimation techniques and adaptive discretization methods. To address this important topic, a special course wasjointly organized by the NATO Research and Technology Office (RTO), the von Karman Insti tute for Fluid Dynamics, and the NASA Ames Research Center. The NATO RTO sponsored course entitled "Error Estimation and Solution Adaptive Discretization in CFD" was held September 10-14, 2002 at the NASA Ames Research Center and October 15-19, 2002 at the von Karman Institute in Belgium. During the special course, a series of comprehensive lectures by leading experts discussed recent advances and technical progress in the area of numerical error estimation and adaptive discretization methods with spe cific emphasis on computational fluid dynamics. The lecture notes provided in this volume are derived from the special course material. The volume con sists of 6 articles prepared by the special course lecturers.

Adaptive High-order Methods in Computational Fluid Dynamics

Author : Z. J. Wang
Publisher : World Scientific
Page : 471 pages
File Size : 42,7 Mb
Release : 2011
Category : Science
ISBN : 9789814313186

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Adaptive High-order Methods in Computational Fluid Dynamics by Z. J. Wang Pdf

This book consists of important contributions by world-renowned experts on adaptive high-order methods in computational fluid dynamics (CFD). It covers several widely used, and still intensively researched methods, including the discontinuous Galerkin, residual distribution, finite volume, differential quadrature, spectral volume, spectral difference, PNPM, and correction procedure via reconstruction methods. The main focus is applications in aerospace engineering, but the book should also be useful in many other engineering disciplines including mechanical, chemical and electrical engineering. Since many of these methods are still evolving, the book will be an excellent reference for researchers and graduate students to gain an understanding of the state of the art and remaining challenges in high-order CFD methods.

High-Order Methods for Computational Physics

Author : Timothy J. Barth,Herman Deconinck
Publisher : Springer Science & Business Media
Page : 594 pages
File Size : 53,7 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783662038826

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High-Order Methods for Computational Physics by Timothy J. Barth,Herman Deconinck Pdf

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.

TILDA: Towards Industrial LES/DNS in Aeronautics

Author : Charles Hirsch,Koen Hillewaert,Ralf Hartmann,Vincent Couaillier,Jean-Francois Boussuge,Frederic Chalot,Sergey Bosniakov,Werner Haase
Publisher : Springer Nature
Page : 550 pages
File Size : 40,8 Mb
Release : 2021-06-28
Category : Technology & Engineering
ISBN : 9783030620486

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TILDA: Towards Industrial LES/DNS in Aeronautics by Charles Hirsch,Koen Hillewaert,Ralf Hartmann,Vincent Couaillier,Jean-Francois Boussuge,Frederic Chalot,Sergey Bosniakov,Werner Haase Pdf

This book offers detailed insights into new methods for high-fidelity CFD, and their industrially relevant applications in aeronautics. It reports on the H2020 TILDA project, funded by the European Union in 2015-2018. The respective chapters demonstrate the potential of high-order methods for enabling more accurate predictions of non-linear, unsteady flows, ensuring enhanced reliability in CFD predictions. The book highlights industrially relevant findings and representative test cases on the development of high-order methods for unsteady turbulence simulations on unstructured grids; on the development of the LES/DNS methodology by means of multilevel, adaptive, fractal and similar approaches for applications on unstructured grids; and on leveraging existent large-scale HPC networks to facilitate the industrial applications of LES/DNS in daily practice. Furthermore, the book discusses multidisciplinary applications of high-order methods in the area of aero-acoustics. All in all, it offers timely insights into the application and performance of high-order methods for CFD, and an extensive reference guide for researchers, graduate students, and industrial engineers whose work involves CFD and turbulence modeling.

Computational Methods for Fluid Dynamics

Author : Joel H. Ferziger,Milovan Peric
Publisher : Springer Science & Business Media
Page : 431 pages
File Size : 41,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642560262

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Computational Methods for Fluid Dynamics by Joel H. Ferziger,Milovan Peric Pdf

In its third revised and extended edition the book offers an overview of the techniques used to solve problems in fluid mechanics on computers. The authors describe in detail the most often used techniques. Included are advanced techniques in computational fluid dynamics, such as direct and large-eddy simulation of turbulence. Moreover, a new section deals with grid quality and an extended description of discretization methods has also been included. Common roots and basic principles for many apparently different methods are explained. The book also contains a great deal of practical advice for code developers and users.

Handbook of Numerical Methods for Hyperbolic Problems

Author : Remi Abgrall,Chi-Wang Shu
Publisher : Elsevier
Page : 610 pages
File Size : 50,7 Mb
Release : 2017-01-16
Category : Mathematics
ISBN : 9780444639110

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Handbook of Numerical Methods for Hyperbolic Problems by Remi Abgrall,Chi-Wang Shu Pdf

Handbook on Numerical Methods for Hyperbolic Problems: Applied and Modern Issues details the large amount of literature in the design, analysis, and application of various numerical algorithms for solving hyperbolic equations that has been produced in the last several decades. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and become familiar with their relative advantages and limitations. Provides detailed, cutting-edge background explanations of existing algorithms and their analysis Presents a method of different algorithms for specific applications and the relative advantages and limitations of different algorithms for engineers or those involved in applications Written by leading subject experts in each field, the volumes provide breadth and depth of content coverage

Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018

Author : Gabriel R. Barrenechea,John Mackenzie
Publisher : Springer Nature
Page : 254 pages
File Size : 42,8 Mb
Release : 2020-08-11
Category : Mathematics
ISBN : 9783030418007

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Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018 by Gabriel R. Barrenechea,John Mackenzie Pdf

This volume gathers papers presented at the international conference BAIL, which was held at the University of Strathclyde, Scotland from the 14th to the 22nd of June 2018. The conference gathered specialists in the asymptotic and numerical analysis of problems which exhibit layers and interfaces. Covering a wide range of topics and sharing a wealth of insights, the papers in this volume provide an overview of the latest research into the theory and numerical approximation of problems involving boundary and interior layers.

Parallel Computational Fluid Dynamics 2007

Author : Ismail H. Tuncer,Ülgen Gülcat,David R. Emerson,Kenichi Matsuno
Publisher : Springer Science & Business Media
Page : 489 pages
File Size : 45,6 Mb
Release : 2009-04-21
Category : Mathematics
ISBN : 9783540927440

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Parallel Computational Fluid Dynamics 2007 by Ismail H. Tuncer,Ülgen Gülcat,David R. Emerson,Kenichi Matsuno Pdf

At the 19th Annual Conference on Parallel Computational Fluid Dynamics held in Antalya, Turkey, in May 2007, the most recent developments and implementations of large-scale and grid computing were presented. This book, comprised of the invited and selected papers of this conference, details those advances, which are of particular interest to CFD and CFD-related communities. It also offers the results related to applications of various scientific and engineering problems involving flows and flow-related topics. Intended for CFD researchers and graduate students, this book is a state-of-the-art presentation of the relevant methodology and implementation techniques of large-scale computing.

Uncertainty Quantification in Computational Fluid Dynamics

Author : Hester Bijl,Didier Lucor,Siddhartha Mishra,Christoph Schwab
Publisher : Springer Science & Business Media
Page : 347 pages
File Size : 41,9 Mb
Release : 2013-09-20
Category : Mathematics
ISBN : 9783319008851

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Uncertainty Quantification in Computational Fluid Dynamics by Hester Bijl,Didier Lucor,Siddhartha Mishra,Christoph Schwab Pdf

Fluid flows are characterized by uncertain inputs such as random initial data, material and flux coefficients, and boundary conditions. The current volume addresses the pertinent issue of efficiently computing the flow uncertainty, given this initial randomness. It collects seven original review articles that cover improved versions of the Monte Carlo method (the so-called multi-level Monte Carlo method (MLMC)), moment-based stochastic Galerkin methods and modified versions of the stochastic collocation methods that use adaptive stencil selection of the ENO-WENO type in both physical and stochastic space. The methods are also complemented by concrete applications such as flows around aerofoils and rockets, problems of aeroelasticity (fluid-structure interactions), and shallow water flows for propagating water waves. The wealth of numerical examples provide evidence on the suitability of each proposed method as well as comparisons of different approaches.

Computational Fluid Dynamics for Sport Simulation

Author : Martin Peters
Publisher : Springer Science & Business Media
Page : 142 pages
File Size : 42,7 Mb
Release : 2009-11-26
Category : Computers
ISBN : 9783642044663

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Computational Fluid Dynamics for Sport Simulation by Martin Peters Pdf

All over the world sport plays a prominent role in society: as a leisure activity for many, as an ingredient of culture, as a business and as a matter of national prestige in such major events as the World Cup in soccer or the Olympic Games. Hence, it is not surprising that science has entered the realm of sports, and, in particular, that computer simulation has become highly relevant in recent years. This is explored in this book by choosing five different sports as examples, demonstrating that computational science and engineering (CSE) can make essential contributions to research on sports topics on both the fundamental level and, eventually, by supporting athletes’ performance.

Parallel Computational Fluid Dynamics 2008

Author : Damien Tromeur-Dervout,Gunther Brenner,David R. Emerson,Jocelyne Erhel
Publisher : Springer Science & Business Media
Page : 428 pages
File Size : 49,8 Mb
Release : 2010-09-21
Category : Science
ISBN : 9783642144387

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Parallel Computational Fluid Dynamics 2008 by Damien Tromeur-Dervout,Gunther Brenner,David R. Emerson,Jocelyne Erhel Pdf

This book collects the proceedings of the Parallel Computational Fluid Dynamics 2008 conference held in Lyon, France. Contributed papers by over 40 researchers representing the state of the art in parallel CFD and architecture from Asia, Europe, and North America examine major developments in (1) block-structured grid and boundary methods to simulate flows over moving bodies, (2) specific methods for optimization in Aerodynamics Design, (3) innovative parallel algorithms and numerical solvers, such as scalable algebraic multilevel preconditioners and the acceleration of iterative solutions, (4) software frameworks and component architectures for parallelism, (5) large scale computing and parallel efficiencies in the industrial context, (6) lattice Boltzmann and SPH methods, and (7) applications in the environment, biofluids, and nuclear engineering.

Python Scripting for Computational Science

Author : Hans Petter Langtangen
Publisher : Springer Science & Business Media
Page : 777 pages
File Size : 46,8 Mb
Release : 2009-01-09
Category : Computers
ISBN : 9783540739159

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Python Scripting for Computational Science by Hans Petter Langtangen Pdf

With a primary focus on examples and applications of relevance to computational scientists, this brilliantly useful book shows computational scientists how to develop tailored, flexible, and human-efficient working environments built from small scripts written in the easy-to-learn, high-level Python language. All the tools and examples in this book are open source codes. This third edition features lots of new material. It is also released after a comprehensive reorganization of the text. The author has inserted improved examples and tools and updated information, as well as correcting any errors that crept in to the first imprint.

Automated Solution of Differential Equations by the Finite Element Method

Author : Anders Logg,Kent-Andre Mardal,Garth Wells
Publisher : Springer Science & Business Media
Page : 723 pages
File Size : 50,9 Mb
Release : 2012-02-24
Category : Computers
ISBN : 9783642230998

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Automated Solution of Differential Equations by the Finite Element Method by Anders Logg,Kent-Andre Mardal,Garth Wells Pdf

This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a special introductory tutorial for beginners. Following are chapters in Part I addressing fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.

Applied Computational Fluid Dynamics Techniques

Author : Rainald Löhner
Publisher : John Wiley & Sons
Page : 386 pages
File Size : 44,8 Mb
Release : 2001-08-15
Category : Mathematics
ISBN : 0471498432

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Applied Computational Fluid Dynamics Techniques by Rainald Löhner Pdf

Computational fluid dynamics (CFD) is concerned with the efficient numerical solution of the partial differential equations that describe fluid dynamics, and CFD techniques are commonly used in many areas of engineering where fluid behavior is a factor. This book covers the range of topics required for a thorough study and understanding of CFD.

Summary of Flow Modulation and Fluid-Structure Interaction Findings

Author : Wolfgang Schröder
Publisher : Springer Science & Business Media
Page : 434 pages
File Size : 49,7 Mb
Release : 2010-05-16
Category : Technology & Engineering
ISBN : 9783642040887

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Summary of Flow Modulation and Fluid-Structure Interaction Findings by Wolfgang Schröder Pdf

The Collaborative Research Center SFB 401: Flow Modulation and Fluid-Structure Interaction at Airplane Wings investigates numerically and experimentally fundamental problems of very high capacity aircraft having large elastic wings. This issue summarizes the findings of the 12-year research program at RWTH Aachen University which was funded by the Deutsche Forschungsgemeinschaft (DFG) from 1997 through 2008. The research program covered the following three main topics of large transport aircraft: (i) Model flow, wakes, and vortices of airplanes in high-lift-configuration, (ii) Numerical tools for large scale adaptive flow simulation based on multiscale analysis and a parametric mapping concept for grid generation, and (iii) Validated computational design tools based on direct aeroelastic simulation with reduced structural models.