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High-Order Methods for Incompressible Fluid Flow

High-Order Methods for Incompressible Fluid Flow PDF Author: M. O. Deville
Publisher: Cambridge University Press
ISBN: 9780521453097
Category : Mathematics
Languages : en
Pages : 532
Book Description
Publisher Description

High-Order Methods for Incompressible Fluid Flow

High-Order Methods for Incompressible Fluid Flow PDF Author: M. O. Deville
Publisher: Cambridge University Press
ISBN: 9780521453097
Category : Mathematics
Languages : en
Pages : 532
Book Description
Publisher Description

High-Resolution Methods for Incompressible and Low-Speed Flows

High-Resolution Methods for Incompressible and Low-Speed Flows PDF Author: D. Drikakis
Publisher: Springer Science & Business Media
ISBN: 9783540221364
Category : Science
Languages : en
Pages : 646
Book Description
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.

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

Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012 PDF Author: Mejdi Azaïez
Publisher: Springer Science & Business Media
ISBN: 3319016016
Category : Mathematics
Languages : en
Pages : 425
Book Description
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. ​

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.

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

IDIHOM: Industrialization of High-Order Methods - A Top-Down Approach PDF Author: Norbert Kroll
Publisher: Springer
ISBN: 3319128868
Category : Technology & Engineering
Languages : en
Pages : 686
Book Description
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.

Spectral and High Order Methods for Partial Differential Equations

Spectral and High Order Methods for Partial Differential Equations PDF Author: Jan S. Hesthaven
Publisher: Springer Science & Business Media
ISBN: 3642153372
Category : Mathematics
Languages : en
Pages : 510
Book Description
The book contains a selection of high quality papers, chosen among the best presentations during the International Conference on Spectral and High-Order Methods (2009), and provides an overview of the depth and breadth 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.

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.

Leading-edge Applied Mathematical Modeling Research

Leading-edge Applied Mathematical Modeling Research PDF Author: Matías P. Álvarez
Publisher: Nova Publishers
ISBN: 9781600219771
Category : Mathematics
Languages : en
Pages : 384
Book Description
This book covers new and significant research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. It includes heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimisation; finite volume, finite element, and boundary element procedures; decision sciences in an industrial and manufacturing context; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering.

Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014

Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014 PDF Author: Robert M. Kirby
Publisher: Springer
ISBN: 3319198009
Category : Computers
Languages : en
Pages : 530
Book Description
The book contains a selection of high quality papers, chosen among the best presentations during the International Conference on Spectral and High-Order Methods (2014), and provides an overview of the depth and breadth of the activities within this important research area. The carefully reviewed selection of papers will provide the reader with a snapshot of the state-of-the-art and help initiate new research directions through the extensive biography.

Numerical Methods in Turbulence Simulation

Numerical Methods in Turbulence Simulation PDF Author: Robert Moser
Publisher: Elsevier
ISBN: 032399833X
Category : Science
Languages : en
Pages : 568
Book Description
Numerical Methods in Turbulence Simulation provides detailed specifications of the numerical methods needed to solve important problems in turbulence simulation. Numerical simulation of turbulent fluid flows is challenging because of the range of space and time scales that must be represented. This book provides explanations of the numerical error and stability characteristics of numerical techniques, along with treatments of the additional numerical challenges that arise in large eddy simulations. Chapters are written as tutorials by experts in the field, covering specific both contexts and applications. Three classes of turbulent flow are addressed, including incompressible, compressible and reactive, with a wide range of the best numerical practices covered. A thorough introduction to the numerical methods is provided for those without a background in turbulence, as is everything needed for a thorough understanding of the fundamental equations. The small scales that must be resolved are generally not localized around some distinct small-scale feature, but instead are distributed throughout a volume. These characteristics put particular strain on the numerical methods used to simulate turbulent flows. Includes a detailed review of the numerical approximation issues that impact the simulation of turbulence Provides a range of examples of large eddy simulation techniques Discusses the challenges posed by boundary conditions in turbulence simulation and provides approaches to addressing them