High Order Methods For Computational Physics

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High-Order Methods for Computational Physics

Author : Timothy J. Barth,Herman Deconinck
Publisher : Springer Science & Business Media
Page : 594 pages
File Size : 46,6 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.

Adaptive High-order Methods in Computational Fluid Dynamics

Author : Z. J. Wang
Publisher : World Scientific
Page : 471 pages
File Size : 45,7 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.

Efficient High-Order Discretizations for Computational Fluid Dynamics

Author : Martin Kronbichler,Per-Olof Persson
Publisher : Springer Nature
Page : 314 pages
File Size : 50,9 Mb
Release : 2021-01-04
Category : Technology & Engineering
ISBN : 9783030606107

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Efficient High-Order Discretizations for Computational Fluid Dynamics by Martin Kronbichler,Per-Olof Persson Pdf

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.

High-Resolution Methods for Incompressible and Low-Speed Flows

Author : D. Drikakis,W. Rider
Publisher : Springer Science & Business Media
Page : 622 pages
File Size : 54,8 Mb
Release : 2006-03-30
Category : Science
ISBN : 9783540264545

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High-Resolution Methods for Incompressible and Low-Speed Flows by D. Drikakis,W. Rider Pdf

The study of incompressible ?ows is vital to many areas of science and te- nology. This includes most of the ?uid dynamics that one ?nds in everyday life from the ?ow of air in a room to most weather phenomena. Inundertakingthesimulationofincompressible?uid?ows,oneoftentakes many issues for granted. As these ?ows become more realistic, the problems encountered become more vexing from a computational point-of-view. These range from the benign to the profound. At once, one must contend with the basic character of incompressible ?ows where sound waves have been analytically removed from the ?ow. As a consequence vortical ?ows have been analytically “preconditioned,” but the ?ow has a certain non-physical character (sound waves of in?nite velocity). At low speeds the ?ow will be deterministic and ordered, i.e., laminar. Laminar ?ows are governed by a balance between the inertial and viscous forces in the ?ow that provides the stability. Flows are often characterized by a dimensionless number known as the Reynolds number, which is the ratio of inertial to viscous forces in a ?ow. Laminar ?ows correspond to smaller Reynolds numbers. Even though laminar ?ows are organized in an orderly manner, the ?ows may exhibit instabilities and bifurcation phenomena which may eventually lead to transition and turbulence. Numerical modelling of suchphenomenarequireshighaccuracyandmostimportantlytogaingreater insight into the relationship of the numerical methods with the ?ow physics.

Effective Computational Methods for Wave Propagation

Author : Nikolaos A. Kampanis,Vassilios Dougalis,John A. Ekaterinaris
Publisher : CRC Press
Page : 707 pages
File Size : 47,9 Mb
Release : 2008-02-25
Category : Mathematics
ISBN : 9781420010879

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Effective Computational Methods for Wave Propagation by Nikolaos A. Kampanis,Vassilios Dougalis,John A. Ekaterinaris Pdf

Due to the increase in computational power and new discoveries in propagation phenomena for linear and nonlinear waves, the area of computational wave propagation has become more significant in recent years. Exploring the latest developments in the field, Effective Computational Methods for Wave Propagation presents several modern, valuable

Reduced Order Methods for Modeling and Computational Reduction

Author : Alfio Quarteroni,Gianluigi Rozza
Publisher : Springer
Page : 338 pages
File Size : 48,5 Mb
Release : 2014-06-05
Category : Mathematics
ISBN : 9783319020907

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Reduced Order Methods for Modeling and Computational Reduction by Alfio Quarteroni,Gianluigi Rozza Pdf

This monograph addresses the state of the art of reduced order methods for modeling and computational reduction of complex parametrized systems, governed by ordinary and/or partial differential equations, with a special emphasis on real time computing techniques and applications in computational mechanics, bioengineering and computer graphics. Several topics are covered, including: design, optimization, and control theory in real-time with applications in engineering; data assimilation, geometry registration, and parameter estimation with special attention to real-time computing in biomedical engineering and computational physics; real-time visualization of physics-based simulations in computer science; the treatment of high-dimensional problems in state space, physical space, or parameter space; the interactions between different model reduction and dimensionality reduction approaches; the development of general error estimation frameworks which take into account both model and discretization effects. This book is primarily addressed to computational scientists interested in computational reduction techniques for large scale differential problems.

High-Order Methods for Incompressible Fluid Flow

Author : M. O. Deville,P. F. Fischer,E. H. Mund
Publisher : Cambridge University Press
Page : 532 pages
File Size : 52,7 Mb
Release : 2002-08-15
Category : Mathematics
ISBN : 0521453097

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High-Order Methods for Incompressible Fluid Flow by M. O. Deville,P. F. Fischer,E. H. Mund Pdf

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IDIHOM: Industrialization of High-Order Methods - A Top-Down Approach

Author : Norbert Kroll,Charles Hirsch,Francesco Bassi,Craig Johnston,Koen Hillewaert
Publisher : Springer
Page : 686 pages
File Size : 52,6 Mb
Release : 2015-01-02
Category : Technology & Engineering
ISBN : 9783319128863

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IDIHOM: Industrialization of High-Order Methods - A Top-Down Approach by Norbert Kroll,Charles Hirsch,Francesco Bassi,Craig Johnston,Koen Hillewaert Pdf

The book describes the main findings of the EU-funded project IDIHOM (Industrialization of High-Order Methods – A Top-Down Approach). The goal of this project was the improvement, utilization and demonstration of innovative higher-order simulation capabilities for large-scale aerodynamic application challenges in the aircraft industry. The IDIHOM consortium consisted of 21 organizations, including aircraft manufacturers, software vendors, as well as the major European research establishments and several universities, all of them with proven expertise in the field of computational fluid dynamics. After a general introduction to the project, the book reports on new approaches for curved boundary-grid generation, high-order solution methods and visualization techniques. It summarizes the achievements, weaknesses and perspectives of the new simulation capabilities developed by the project partners for various industrial applications, and includes internal- and external-aerodynamic as well as multidisciplinary test cases.

Basic Concepts in Computational Physics

Author : Benjamin A. Stickler,Ewald Schachinger
Publisher : Springer Science & Business Media
Page : 377 pages
File Size : 43,5 Mb
Release : 2013-12-11
Category : Science
ISBN : 9783319024356

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Basic Concepts in Computational Physics by Benjamin A. Stickler,Ewald Schachinger Pdf

With the development of ever more powerful computers a new branch of physics and engineering evolved over the last few decades: Computer Simulation or Computational Physics. It serves two main purposes: - Solution of complex mathematical problems such as, differential equations, minimization/optimization, or high-dimensional sums/integrals. - Direct simulation of physical processes, as for instance, molecular dynamics or Monte-Carlo simulation of physical/chemical/technical processes. Consequently, the book is divided into two main parts: Deterministic methods and stochastic methods. Based on concrete problems, the first part discusses numerical differentiation and integration, and the treatment of ordinary differential equations. This is augmented by notes on the numerics of partial differential equations. The second part discusses the generation of random numbers, summarizes the basics of stochastics which is then followed by the introduction of various Monte-Carlo (MC) methods. Specific emphasis is on MARKOV chain MC algorithms. All this is again augmented by numerous applications from physics. The final two chapters on Data Analysis and Stochastic Optimization share the two main topics as a common denominator. The book offers a number of appendices to provide the reader with more detailed information on various topics discussed in the main part. Nevertheless, the reader should be familiar with the most important concepts of statistics and probability theory albeit two appendices have been dedicated to provide a rudimentary discussion.

A Survey of Computational Physics

Author : Rubin H. Landau,José Páez,Cristian C. Bordeianu
Publisher : Princeton University Press
Page : 688 pages
File Size : 50,6 Mb
Release : 2011-10-30
Category : Science
ISBN : 9781400841189

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A Survey of Computational Physics by Rubin H. Landau,José Páez,Cristian C. Bordeianu Pdf

Computational physics is a rapidly growing subfield of computational science, in large part because computers can solve previously intractable problems or simulate natural processes that do not have analytic solutions. The next step beyond Landau's First Course in Scientific Computing and a follow-up to Landau and Páez's Computational Physics, this text presents a broad survey of key topics in computational physics for advanced undergraduates and beginning graduate students, including new discussions of visualization tools, wavelet analysis, molecular dynamics, and computational fluid dynamics. By treating science, applied mathematics, and computer science together, the book reveals how this knowledge base can be applied to a wider range of real-world problems than computational physics texts normally address. Designed for a one- or two-semester course, A Survey of Computational Physics will also interest anyone who wants a reference on or practical experience in the basics of computational physics. Accessible to advanced undergraduates Real-world problem-solving approach Java codes and applets integrated with text Companion Web site includes videos of lectures

Computational Physics - A Practical Introduction to Computational Physics and Scientific Computing (using C++), Vol. II

Author : Konstantinos Anagnostopoulos
Publisher : Lulu.com
Page : 393 pages
File Size : 44,9 Mb
Release : 2016-12-06
Category : Science
ISBN : 9781365583384

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Computational Physics - A Practical Introduction to Computational Physics and Scientific Computing (using C++), Vol. II by Konstantinos Anagnostopoulos Pdf

This book is an introduction to the computational methods used in physics and other related scientific fields. It is addressed to an audience that has already been exposed to the introductory level of college physics, usually taught during the first two years of an undergraduate program in science and engineering. It assumes no prior knowledge of numerical analysis, programming or computers and teaches whatever is necessary for the solution of the problems addressed in the text. C++ is used for programming the core programs and data analysis is performed using the powerful tools of the GNU/Linux environment. All the necessary software is open source and freely available. The book starts with very simple problems in particle motion and ends with an in-depth discussion of advanced techniques used in Monte Carlo simulations in statistical mechanics. The level of instruction rises slowly, while discussing problems like the diffusion equation, electrostatics on the plane, quantum mechanics and random walks.

Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012

Author : Mejdi Azaïez,Henda El Fekih,Jan S. Hesthaven
Publisher : Springer Science & Business Media
Page : 421 pages
File Size : 54,5 Mb
Release : 2013-11-19
Category : Mathematics
ISBN : 9783319016016

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Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012 by Mejdi Azaïez,Henda El Fekih,Jan S. Hesthaven Pdf

The book contains a selection of high quality papers, chosen among the best presentations during the International Conference on Spectral and High-Order Methods (2012), and provides an overview of the depth and breath of the activities within this important research area. The carefully reviewed selection of the papers will provide the reader with a snapshot of state-of-the-art and help initiate new research directions through the extensive bibliography. ​

Computational Fluid Dynamics Review 2010

Author : M. M. Hafez,K?ichi ?shima,Dochan Kwak
Publisher : World Scientific
Page : 630 pages
File Size : 52,7 Mb
Release : 2010
Category : Science
ISBN : 9789814313360

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Computational Fluid Dynamics Review 2010 by M. M. Hafez,K?ichi ?shima,Dochan Kwak Pdf

This volume contains 25 review articles by experts which provide up-to-date information about the recent progress in computational fluid dynamics (CFD). Due to the multidisciplinary nature of CFD, it is difficult to keep up with all the important developments in related areas. CFD Review 2010 would therefore be useful to researchers by covering the state-of-the-art in this fast-developing field.

Computational Methods of Multi-Physics Problems

Author : Timon Rabczuk
Publisher : MDPI
Page : 128 pages
File Size : 47,7 Mb
Release : 2019-08-20
Category : Technology & Engineering
ISBN : 9783039214174

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Computational Methods of Multi-Physics Problems by Timon Rabczuk Pdf

This book offers a collection of six papers addressing problems associated with the computational modeling of multi-field problems. Some of the proposed contributions present novel computational techniques, while other topics focus on applying state-of-the-art techniques in order to solve coupled problems in various areas including the prediction of material failure during the lithiation process, which is of major importance in batteries; efficient models for flexoelectricity, which require higher-order continuity; the prediction of composite pipes under thermomechanical conditions; material failure in rock; and computational materials design. The latter exploits nano-scale modeling in order to predict various material properties for two-dimensional materials with applications in, for example, semiconductors. In summary, this book provides a good overview of the computational modeling of different multi-field problems.

Hyperbolic Problems: Theory, Numerics, Applications

Author : Thomas Y. Hou,Eitan Tadmor
Publisher : Springer Science & Business Media
Page : 946 pages
File Size : 53,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642557118

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Hyperbolic Problems: Theory, Numerics, Applications by Thomas Y. Hou,Eitan Tadmor Pdf

The International Conference on "Hyperbolic Problems: Theory, Numerics and Applications'' was held in CalTech on March 25-30, 2002. The conference was the ninth meeting in the bi-annual international series which became one of the highest quality and most successful conference series in Applied mathematics. This volume contains more than 90 contributions presented in this conference, including plenary presentations by A. Bressan, P. Degond, R. LeVeque, T.-P. Liu, B. Perthame, C.-W. Shu, B. Sjögreen and S. Ukai. Reflecting the objective of series, the contributions in this volume keep the traditional blend of theory, numerics and applications. The Hyp2002 meeting placed a particular emphasize on fundamental theory and numerical analysis, on multi-scale analysis, modeling and simulations, and on geophysical applications and free boundary problems arising from materials science and multi-component fluid dynamics. The volume should appeal to researchers, students and practitioners with general interest in time-dependent problems governed by hyperbolic equations.