Adaptive Stable Finite Element Methods For The Compressible Navier Stokes Equations

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Numerical Mathematics and Advanced Applications

Author : Miloslav Feistauer
Publisher : Springer Science & Business Media
ISBN 13 : 3642187757
Total Pages : 873 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Numerical Mathematics and Advanced Applications by : Miloslav Feistauer

Download or read book Numerical Mathematics and Advanced Applications written by Miloslav Feistauer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 873 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings collect the major part of the lectures given at ENU MATH2003, the European Conference on Numerical Mathematics and Ad vanced Applications, held in Prague, Czech Republic, from 18 August to 22 August, 2003. The importance of numerical and computational mathematics and sci entific computing is permanently growing. There is an increasing number of different research areas, where numerical simulation is necessary. Let us men tion fluid dynamics, continuum mechanics, electromagnetism, phase transi tion, cosmology, medicine, economics, finance, etc. The success of applications of numerical methods is conditioned by changing its basic instruments and looking for new appropriate techniques adapted to new problems as well as new computer architectures. The ENUMATH conferences were established in order to provide a fo rum for discussion of current topics of numerical mathematics. They seek to convene leading experts and young scientists with special emphasis on con tributions from Europe. Recent results and new trends are discussed in the analysis of numerical algorithms as well as in their applications to challenging scientific and industrial problems. The first ENUMATH conference was organized in Paris in 1995, then the series continued by the conferences in Heidelberg 1997, Jyvaskyla 1999 and Ischia Porto 2001. It was a great pleasure and honour for the Czech numerical community that it was decided at Ischia Porto to organize the ENUMATH2003 in Prague. It was the first time when this conference crossed the former Iron Courtain and was organized in a postsocialist country.

Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics

Author : Erwin Stein
Publisher : Springer Science & Business Media
ISBN 13 : 3211380604
Total Pages : 368 pages
Book Rating : 4.2/5 (113 download)

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Book Synopsis Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics by : Erwin Stein

Download or read book Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics written by Erwin Stein and published by Springer Science & Business Media. This book was released on 2007-04-02 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This course with 6 lecturers intends to present a systematic survey of recent re search results of well-known scientists on error-controlled adaptive finite element methods in solid and structural mechanics with emphasis to problem-dependent concepts for adaptivity, error analysis as well as h- and p-adaptive refinement techniques including meshing and remeshing. Challenging applications are of equal importance, including elastic and elastoplastic deformations of solids, con tact problems and thin-walled structures. Some major topics should be pointed out, namely: (i) The growing importance of goal-oriented and local error estimates for quan tities of interest—in comparison with global error estimates—based on dual finite element solutions; (a) The importance of the p-version of the finite element method in conjunction with parameter-dependent hierarchical approximations of the mathematical model, for example in boundary layers of elastic plates; (Hi) The choice of problem-oriented error measures in suitable norms, consider ing residual, averaging and hierarchical error estimates in conjunction with the efficiency of the associated adaptive computations; (iv) The importance of implicit local postprocessing with enhanced test spaces in order to get constant-free, i. e. absolute-not only relative-discretizati- error estimates; (v) The coupling of error-controlled adaptive discretizations and the mathemat ical modeling in related subdomains, such as boundary layers. The main goals of adaptivity are reliability and efficiency, combined with in sight and access to controls which are independent of the applied discretization methods. By these efforts, new paradigms in Computational Mechanics should be realized, namely verifications and even validations of engineering models.

The Finite Element Method for Engineers

Author : Kenneth H. Huebner
Publisher : John Wiley & Sons
ISBN 13 : 9780471370789
Total Pages : 748 pages
Book Rating : 4.3/5 (77 download)

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Book Synopsis The Finite Element Method for Engineers by : Kenneth H. Huebner

Download or read book The Finite Element Method for Engineers written by Kenneth H. Huebner and published by John Wiley & Sons. This book was released on 2001-09-07 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eine Einführung in alle Aspekte der finiten Elemente, jetzt schon in der 4. Auflage! Geboten wird eine ausgewogene Mischung theoretischer und anwendungsorientierter Kapitel mit vielen Beispielen. Schwerpunkte liegen auf Anwendungen aus der Mechanik, dem Wärmetransport, der Elastizität sowie auf disziplinübergreifenden Problemen (Strömungen von Fluiden, Elektromagnetismus). Eine nützliche und zuverlässige Informationsquelle für Studenten und Praktiker!

Fundamental Directions in Mathematical Fluid Mechanics

Author : Giovanni P. Galdi
Publisher : Birkhäuser
ISBN 13 : 3034884249
Total Pages : 300 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Fundamental Directions in Mathematical Fluid Mechanics by : Giovanni P. Galdi

Download or read book Fundamental Directions in Mathematical Fluid Mechanics written by Giovanni P. Galdi and published by Birkhäuser. This book was released on 2012-12-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of six articles, each treating an important topic in the theory ofthe Navier-Stokes equations, at the research level. Some of the articles are mainly expository, putting together, in a unified setting, the results of recent research papers and conference lectures. Several other articles are devoted mainly to new results, but present them within a wider context and with a fuller exposition than is usual for journals. The plan to publish these articles as a book began with the lecture notes for the short courses of G.P. Galdi and R. Rannacher, given at the beginning of the International Workshop on Theoretical and Numerical Fluid Dynamics, held in Vancouver, Canada, July 27 to August 2, 1996. A renewed energy for this project came with the founding of the Journal of Mathematical Fluid Mechanics, by G.P. Galdi, J. Heywood, and R. Rannacher, in 1998. At that time it was decided that this volume should be published in association with the journal, and expanded to include articles by J. Heywood and W. Nagata, J. Heywood and M. Padula, and P. Gervasio, A. Quarteroni and F. Saleri. The original lecture notes were also revised and updated.

Numerical Simulation of Compressible Navier-Stokes Flows

Author : Marie Odile Bristeau
Publisher : Springer Science & Business Media
ISBN 13 : 3322878732
Total Pages : 350 pages
Book Rating : 4.3/5 (228 download)

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Book Synopsis Numerical Simulation of Compressible Navier-Stokes Flows by : Marie Odile Bristeau

Download or read book Numerical Simulation of Compressible Navier-Stokes Flows written by Marie Odile Bristeau and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the advent of super computers during the last ten years, the numerical simulation of viscous fluid flows modeled by the Navier-Stokes equations is becoming a most useful tool in Aircraft and Engine Design. In fact, compressible Navier-Stokes solvers tend to constitute the basic tools for many industrial applications occuring in the simulation of very complex turbulent and combustion phenomena. In Aerospace Engineering, as an exemple, their mathematical modelization requires reliable and robust methods for solving very stiff non linear partial differential equations. For the above reasons, it was clear that a workshop on this topic would be of interest for the CFD community in order to compare accuracy and efficiency of Navier-Stokes solvers on selected external and internal flow problems using different numerical approaches. The workshop was held on 4-6 December 1985 at Nice, France and organized by INRIA with the sponsorship of the GAMM Committee on Numerical Methods in Fluid Mechanics.

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 702 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Computational Nonlinear Mechanics

Author : I.S. Doltsinis
Publisher : Springer
ISBN 13 : 3709128285
Total Pages : 248 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Advances in Computational Nonlinear Mechanics by : I.S. Doltsinis

Download or read book Advances in Computational Nonlinear Mechanics written by I.S. Doltsinis and published by Springer. This book was released on 2014-05-04 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced computational methods in nonlinear mechanics of solids and fluids are dealt with in this volume. Contributions consider large deformations of structures and solids, problems in nonlinear dynamics, aspects of earthquake analysis, coupled problems, convection-dominated phenomena, and compressible and incompressible viscous flows. Selected applications indicate the relevance of the analysis to the demands of industry and science. The contributors are from research institutions well-known for their work in this field.

Finite Element Methods for Navier-Stokes Equations

Author : Vivette Girault
Publisher : Springer Science & Business Media
ISBN 13 : 3642616232
Total Pages : 386 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Finite Element Methods for Navier-Stokes Equations by : Vivette Girault

Download or read book Finite Element Methods for Navier-Stokes Equations written by Vivette Girault and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: The material covered by this book has been taught by one of the authors in a post-graduate course on Numerical Analysis at the University Pierre et Marie Curie of Paris. It is an extended version of a previous text (cf. Girault & Raviart [32J) published in 1979 by Springer-Verlag in its series: Lecture Notes in Mathematics. In the last decade, many engineers and mathematicians have concentrated their efforts on the finite element solution of the Navier-Stokes equations for incompressible flows. The purpose of this book is to provide a fairly comprehen sive treatment of the most recent developments in that field. To stay within reasonable bounds, we have restricted ourselves to the case of stationary prob lems although the time-dependent problems are of fundamental importance. This topic is currently evolving rapidly and we feel that it deserves to be covered by another specialized monograph. We have tried, to the best of our ability, to present a fairly exhaustive treatment of the finite element methods for inner flows. On the other hand however, we have entirely left out the subject of exterior problems which involve radically different techniques, both from a theoretical and from a practical point of view. Also, we have neither discussed the implemen tation of the finite element methods presented by this book, nor given any explicit numerical result. This field is extensively covered by Peyret & Taylor [64J and Thomasset [82].

Finite Elements II

Author : Alexandre Ern
Publisher : Springer Nature
ISBN 13 : 3030569233
Total Pages : 491 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Finite Elements II by : Alexandre Ern

Download or read book Finite Elements II written by Alexandre Ern and published by Springer Nature. This book was released on 2021-04-22 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the second volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is also appropriate for graduate flipped classes. Each volume is divided into short chapters. Each chapter can be covered in one teaching unit and includes exercises as well as solutions available from a dedicated website. The salient ideas can be addressed during lecture, with the rest of the content assigned as reading material. To engage the reader, the text combines examples, basic ideas, rigorous proofs, and pointers to the literature to enhance scientific literacy. Volume II is divided into 32 chapters plus one appendix. The first part of the volume focuses on the approximation of elliptic and mixed PDEs, beginning with fundamental results on well-posed weak formulations and their approximation by the Galerkin method. The material covered includes key results such as the BNB theorem based on inf-sup conditions, Céa's and Strang's lemmas, and the duality argument by Aubin and Nitsche. Important implementation aspects regarding quadratures, linear algebra, and assembling are also covered. The remainder of Volume II focuses on PDEs where a coercivity property is available. It investigates conforming and nonconforming approximation techniques (Galerkin, boundary penalty, Crouzeix—Raviart, discontinuous Galerkin, hybrid high-order methods). These techniques are applied to elliptic PDEs (diffusion, elasticity, the Helmholtz problem, Maxwell's equations), eigenvalue problems for elliptic PDEs, and PDEs in mixed form (Darcy and Stokes flows). Finally, the appendix addresses fundamental results on the surjectivity, bijectivity, and coercivity of linear operators in Banach spaces.

Finite Element Methods for Fluids

Author : Olivier Pironneau
Publisher :
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Finite Element Methods for Fluids by : Olivier Pironneau

Download or read book Finite Element Methods for Fluids written by Olivier Pironneau and published by . This book was released on 1989 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the formulation of problems in fuild mechanics and dynamics, and shows how they can be analyzed and resolved using finite element methods. This practical book also discusses the equations of fluid mechanics and investigates the problems to which these equations can be applied, as well as how they can be analyzed and solved. Contains illustrations of computer simulations using the methods described in the book and features numerous illustrations.

Wavelets Theory and Its Applications

Author : Mani Mehra
Publisher : Springer
ISBN 13 : 9811325952
Total Pages : 185 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Wavelets Theory and Its Applications by : Mani Mehra

Download or read book Wavelets Theory and Its Applications written by Mani Mehra and published by Springer. This book was released on 2018-11-03 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides comprehensive information on the conceptual basis of wavelet theory and it applications. Maintaining an essential balance between mathematical rigour and the practical applications of wavelet theory, the book is closely linked to the wavelet MATLAB toolbox, which is accompanied, wherever applicable, by relevant MATLAB codes. The book is divided into four parts, the first of which is devoted to the mathematical foundations. The second part offers a basic introduction to wavelets. The third part discusses wavelet-based numerical methods for differential equations, while the last part highlights applications of wavelets in other fields. The book is ideally suited as a text for undergraduate and graduate students of mathematics and engineering.

Computational Fluid Dynamics

Author : T. J. Chung
Publisher : Cambridge University Press
ISBN 13 : 9780521594165
Total Pages : 1040 pages
Book Rating : 4.5/5 (941 download)

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Book Synopsis Computational Fluid Dynamics by : T. J. Chung

Download or read book Computational Fluid Dynamics written by T. J. Chung and published by Cambridge University Press. This book was released on 2002-02-07 with total page 1040 pages. Available in PDF, EPUB and Kindle. Book excerpt: Increasingly, computational fluid dynamics (CFD) techniques are being used to study and solve complex fluid flow and heat transfer problems. This comprehensive book ranges from elementary concepts for the beginner to state-of-the-art CFD for the practitioner. It begins with CFD preliminaries, in which the basic principles of finite difference (FD), finite element (FE), and finite volume (FV) methods are discussed and illustrated through examples, with step-by-step hand calculations. Then, FD and FE methods respectively are covered, including both historical developments and recent contributions. The next section is devoted to structured and unstructured grids, adaptive methods, computing techniques, and parallel processing. Finally, the author describes a variety of practical applications to problems in turbulence, reacting flows and combustion, acoustics, combined mode radiative heat transfer, multiphase flows, electromagnetic fields, and relativistic astrophysical flows. Students and practitioners - particularly in mechanical, aerospace, chemical, and civil engineering - will use this authoritative text to learn about and apply numerical techniques to the solution of fluid dynamics problems.

High-Order Methods for Computational Physics

Author : Timothy J. Barth
Publisher : Springer Science & Business Media
ISBN 13 : 366203882X
Total Pages : 594 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis High-Order Methods for Computational Physics by : Timothy J. Barth

Download or read book High-Order Methods for Computational Physics written by Timothy J. Barth and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Analysis and Applications

Author : Themistocles M. Rassias
Publisher : Springer Nature
ISBN 13 : 3030313395
Total Pages : 694 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Mathematical Analysis and Applications by : Themistocles M. Rassias

Download or read book Mathematical Analysis and Applications written by Themistocles M. Rassias and published by Springer Nature. This book was released on 2019-12-12 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: An international community of experts scientists comprise the research and survey contributions in this volume which covers a broad spectrum of areas in which analysis plays a central role. Contributions discuss theory and problems in real and complex analysis, functional analysis, approximation theory, operator theory, analytic inequalities, the Radon transform, nonlinear analysis, and various applications of interdisciplinary research; some are also devoted to specific applications such as the three-body problem, finite element analysis in fluid mechanics, algorithms for difference of monotone operators, a vibrational approach to a financial problem, and more. This volume is useful to graduate students and researchers working in mathematics, physics, engineering, and economics.

Data-driven modeling and optimization in fluid dynamics: From physics-based to machine learning approaches

Author : Michel Bergmann
Publisher : Frontiers Media SA
ISBN 13 : 2832510701
Total Pages : 178 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Data-driven modeling and optimization in fluid dynamics: From physics-based to machine learning approaches by : Michel Bergmann

Download or read book Data-driven modeling and optimization in fluid dynamics: From physics-based to machine learning approaches written by Michel Bergmann and published by Frontiers Media SA. This book was released on 2023-01-05 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied mechanics reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Applied mechanics reviews by :

Download or read book Applied mechanics reviews written by and published by . This book was released on 1948 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Finite Element Methods for Computational Fluid Dynamics

Author : Dmitri Kuzmin
Publisher : SIAM
ISBN 13 : 1611973619
Total Pages : 321 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Finite Element Methods for Computational Fluid Dynamics by : Dmitri Kuzmin

Download or read book Finite Element Methods for Computational Fluid Dynamics written by Dmitri Kuzmin and published by SIAM. This book was released on 2014-12-18 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This informal introduction to computational fluid dynamics and practical guide to numerical simulation of transport phenomena covers the derivation of the governing equations, construction of finite element approximations, and qualitative properties of numerical solutions, among other topics. To make the book accessible to readers with diverse interests and backgrounds, the authors begin at a basic level and advance to numerical tools for increasingly difficult flow problems, emphasizing practical implementation rather than mathematical theory. Finite Element Methods for Computational Fluid Dynamics: A Practical Guide explains the basics of the finite element method (FEM) in the context of simple model problems, illustrated by numerical examples. It comprehensively reviews stabilization techniques for convection-dominated transport problems, introducing the reader to streamline diffusion methods, Petrov?Galerkin approximations, Taylor?Galerkin schemes, flux-corrected transport algorithms, and other nonlinear high-resolution schemes, and covers Petrov?Galerkin stabilization, classical projection schemes, Schur complement solvers, and the implementation of the k-epsilon turbulence model in its presentation of the FEM for incompressible flow problem. The book also describes the open-source finite element library ELMER, which is recommended as a software development kit for advanced applications in an online component.