Generalized Riemann Problems in Computational Fluid Dynamics

Author: Matania Ben-Artzi,Joseph Falcovitz

Publisher: Cambridge University Press

ISBN: 9781139439473

Category: Mathematics

Page: N.A

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Numerical simulation of compressible, inviscid time-dependent flow is a major branch of computational fluid dynamics. Its primary goal is to obtain accurate representation of the time evolution of complex flow patterns, involving interactions of shocks, interfaces, and rarefaction waves. The Generalized Riemann Problem (GRP) algorithm, developed by the authors for this purpose, provides a unifying 'shell' which comprises some of the most commonly used numerical schemes of this process. This 2003 monograph gives a systematic presentation of the GRP methodology, starting from the underlying mathematical principles, through basic scheme analysis and scheme extensions (such as reacting flow or two-dimensional flows involving moving or stationary boundaries). An array of instructive examples illustrates the range of applications, extending from (simple) scalar equations to computational fluid dynamics. Background material from mathematical analysis and fluid dynamics is provided, making the book accessible to both researchers and graduate students of applied mathematics, science and engineering.

Recent Advances in Computational Sciences

Selected Papers from the International Workshop on Computational Sciences and Its Education, Beijing, China, 29-31 August 2005

Author: Palle E. T. J?rgensen,Xiaoping Shen,Chiwang Shu

Publisher: World Scientific

ISBN: 981270700X

Category: Science

Page: 381

View: 859

This book presents state-of-the-art lectures delivered by international academic and industrial experts in the field of computational science and its education, covering a wide spectrum from theory to practice. Topics include new developments in finite element method (FEM), finite volume method and Spline theory, such as Moving Mesh Methods, Galerkin and Discontinuous Galerkin Schemes, Shape Gradient Methods, Mixed FEMs, Superconvergence techniques and Fourier spectral approximations with applications in multidimensional fluid dynamics; Maxwell equations in discrepancy media; and phase-field equations. It also discusses some interesting topics related to Stokes equations, Schr”dinger equations, wavelet analysis and approximation theory. Contemporary teaching issues in curriculum reform also form an integral part of the book.This book will therefore be of significant interest and value to all graduates, research scientists and practitioners facing complex computational problems. Administrators and policymakers will find it is an addition to their mathematics curriculum reform libraries.


Author: N.A

Publisher: N.A


Category: Mathematics

Page: N.A

View: 2918

Computational Fluid Dynamics 2008

Author: Haecheon Choi,H. G. Choi,J. Y. Yoo

Publisher: Springer Science & Business Media

ISBN: 3642012736

Category: Technology & Engineering

Page: 822

View: 2855

We are delighted to present this book which contains the Proceedings of the Fifth International Conference on Computational Fluid Dynamics (ICCFD5), held in Seoul, Korea from July 7 through 11, 2008. The ICCFD series has established itself as the leading international conference series for scientists, mathematicians, and engineers specialized in the computation of fluid flow. In ICCFD5, 5 Invited Lectures and 3 Keynote Lectures were delivered by renowned researchers in the areas of innovative modeling of flow physics, innovative algorithm development for flow simulation, optimization and control, and advanced multidisciplinary - plications. There were a total of 198 contributed abstracts submitted from 25 countries. The executive committee consisting of C. H. Bruneau (France), J. J. Chattot (USA), D. Kwak (USA), N. Satofuka (Japan), and myself, was responsible for selection of papers. Each of the members had a separate subcommittee to carry out the evaluation. As a result of this careful peer review process, 138 papers were accepted for oral presentation and 28 for poster presentation. Among them, 5 (3 oral and 2 poster presentation) papers were withdrawn and 10 (4 oral and 6 poster presentation) papers were not presented. The conference was attended by 201 delegates from 23 countries. The technical aspects of the conference were highly beneficial and informative, while the non-technical aspects were fully enjoyable and memorable. In this book, 3 invited lectures and 1 keynote lecture appear first. Then 99 c- tributed papers are grouped under 21 subject titles which are in alphabetical order.

Computational Fluid Dynamics 2006

Proceedings of the Fourth International Conference on Computational Fluid Dynamics, ICCFD4, Ghent, Belgium, 10-14 July 2006

Author: Herman Deconinck,E. Dick

Publisher: Springer Science & Business Media

ISBN: 9783540927792

Category: Technology & Engineering

Page: 893

View: 886

Numerical Methods for Conservation Laws

Author: Randall J. LeVeque

Publisher: Springer Science & Business Media

ISBN: 9783764327231

Category: Mathematics

Page: 214

View: 7867

These notes were developed for a graduate-level course on the theory and numerical solution of nonlinear hyperbolic systems of conservation laws. Part I deals with the basic mathematical theory of the equations: the notion of weak solutions, entropy conditions, and a detailed description of the wave structure of solutions to the Riemann problem. The emphasis is on tools and techniques that are indispensable in developing good numerical methods for discontinuous solutions. Part II is devoted to the development of high resolution shock-capturing methods, including the theory of total variation diminishing (TVD) methods and the use of limiter functions. The book is intended for a wide audience, and will be of use both to numerical analysts and to computational researchers in a variety of applications.

Computational Fluid Dynamics in Practice

Author: Norman Rhodes

Publisher: Wiley


Category: Science

Page: 200

View: 7548

Computational Fluid Dynamics in Practice explores the current and future developments in CFD, with the authors detailing advanced applications and case studies to demonstrate successes, illustrate the limitations, and identify methods for good practice. Designers, engineers, and researchers working in this field of fluid mechanics will find this book essential reading both for new ideas and applications, as well as a valuable source of reference. CONTENTS INCLUDE: The issue of numerical accuracy in computational fluid dynamics Detection of multiple solutions using a mid-cell back substitution technique applied to computational fluid dynamics A comparison of a conventional RANS and a lattice gas dynamics simulation – a case study in high-speed rail aerodynamics Mesh generation – The Ricardo Philosophy The validation of rapid CFD modelling for turbomachinery Built environment simulations using CFD Using CFD in the design of electric motors and generators CFD computation of air-oil separation in an engine breather Cavitation in a pressure-activated ball valve.

Mathematical Methods and Modelling in Hydrocarbon Exploration and Production

Author: Armin Iske,Trygve Randen

Publisher: Springer Science & Business Media

ISBN: 3540264930

Category: Mathematics

Page: 452

View: 7002

Hydrocarbon exploration and production incorporate great technology challenges for the oil and gas industry. In order to meet the world's future demand for oil and gas, further technological advance is needed, which in turn requires research across multiple disciplines, including mathematics, geophysics, geology, petroleum engineering, signal processing, and computer science. This book addresses important aspects and fundamental concepts in hydrocarbon exploration and production. Moreover, new developments and recent advances in the relevant research areas are discussed, whereby special emphasis is placed on mathematical methods and modelling. The book reflects the multi-disciplinary character of the hydrocarbon production workflow, ranging from seismic data imaging, seismic analysis and interpretation and geological model building, to numerical reservoir simulation. Various challenges concerning the production workflow are discussed in detail. The thirteen chapters of this joint work, authored by international experts from academic and industrial institutions, include survey papers of expository character as well as original research articles. Large parts of the material presented in this book were developed between November 2000 and April 2004 through the European research and training network NetAGES, "Network for Automated Geometry Extraction from Seismic". The new methods described here are currently being implemented as software tools at Schlumberger Stavanger Research, one of the world's largest service providers to the oil industry.

Wave Propagation in Fluids

Models and Numerical Techniques

Author: Vincent Guinot

Publisher: John Wiley & Sons

ISBN: 1118587634

Category: Science

Page: 560

View: 2634

This second edition with four additional chapters presents the physical principles and solution techniques for transient propagation in fluid mechanics and hydraulics. The application domains vary including contaminant transport with or without sorption, the motion of immiscible hydrocarbons in aquifers, pipe transients, open channel and shallow water flow, and compressible gas dynamics. The mathematical formulation is covered from the angle of conservation laws, with an emphasis on multidimensional problems and discontinuous flows, such as steep fronts and shock waves. Finite difference-, finite volume- and finite element-based numerical methods (including discontinuous Galerkin techniques) are covered and applied to various physical fields. Additional chapters include the treatment of geometric source terms, as well as direct and adjoint sensitivity modeling for hyperbolic conservation laws. A concluding chapter is devoted to practical recommendations to the modeler. Application exercises with on-line solutions are proposed at the end of the chapters.

Numerische Strömungsmechanik

Author: Joel H. Ferziger,Milovan Peric

Publisher: Springer-Verlag

ISBN: 3540682287

Category: Science

Page: 509

View: 1586

Das Buch bietet einen Überblick über die numerischen Methoden zur Lösung strömungsmechanischer Probleme. Die in der Praxis meistgenutzten Methoden werden detailliert beschrieben. Behandelt werden auch fortgeschrittene Methoden, wie die Simulation von Turbulenzen und Parallel-Verarbeitung. Das Buch beschreibt die Grundlagen und Prinzipien der verschiedenen Methoden. Numerische Genauigkeit und Abschätzung sowie Fehlerreduktion werden detailliert mit vielen Beispielen behandelt. Alle Computercodes sind über den Server des Springer-Verlages erhältlich (Internet).

Modeling Shallow Water Flows Using the Discontinuous Galerkin Method

Author: Abdul A. Khan,Wencong Lai

Publisher: CRC Press

ISBN: 1482226014

Category: Science

Page: 215

View: 6940

Replacing the Traditional Physical Model Approach Computational models offer promise in improving the modeling of shallow water flows. As new techniques are considered, the process continues to change and evolve. Modeling Shallow Water Flows Using the Discontinuous Galerkin Method examines a technique that focuses on hyperbolic conservation laws and includes one-dimensional and two-dimensional shallow water flows and pollutant transports. Combines the Advantages of Finite Volume and Finite Element Methods This book explores the discontinuous Galerkin (DG) method, also known as the discontinuous finite element method, in depth. It introduces the DG method and its application to shallow water flows, as well as background information for implementing and applying this method for natural rivers. It considers dam-break problems, shock wave problems, and flows in different regimes (subcritical, supercritical, and transcritical). Readily Adaptable to the Real World While the DG method has been widely used in the fields of science and engineering, its use for hydraulics has so far been limited to simple cases. The book compares numerical results with laboratory experiments and field data, and includes a set of tests that can be used for a wide range of applications. Provides step-by-step implementation details Presents the different forms in which the shallow water flow equations can be written Places emphasis on the details and modifications required to apply the scheme to real-world flow problems This text enables readers to readily understand and develop an efficient computer simulation model that can be used to model flow, contaminant transport, and other aspects in rivers and coastal environments. It is an ideal resource for practicing environmental engineers and researchers in the area of computational hydraulics and fluid dynamics, and graduate students in computational hydraulics.


Mathematical, physical, and engineering sciences

Author: N.A

Publisher: N.A


Category: Engineering

Page: N.A

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Physikalisch-Chemische Grundlagen, Modellierung und Simulation, Experimente, Schadstoffentstehung

Author: Jürgen Warnatz,Ulrich Maas,Robert W. Dibble

Publisher: Springer-Verlag

ISBN: 3642979475

Category: Science

Page: 277

View: 8014