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Author : Leopoldo P. Franca
Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (51 download)
Download or read book Unusual Stabilized Finite Element Methods and Residual-free Bubbles written by Leopoldo P. Franca and published by . This book was released on 1996 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Leopoldo P. Franca
Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (51 download)
Download or read book Bubble Functions Prompt Unusual Stabilized Finite Element Methods written by Leopoldo P. Franca and published by . This book was released on 1994 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michel Lesoinne
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (59 download)
Download or read book Unusual Stabilized Finite Element Methods for Second Order Linear Differential Equations written by Michel Lesoinne and published by . This book was released on 1995 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vahid Nassehi
Publisher : World Scientific Publishing Company
ISBN 13 : 1911299417
Total Pages : 264 pages
Book Rating : 4.9/5 (112 download)
Download or read book Finite Element Modeling Of Multiscale Transport Phenomena written by Vahid Nassehi and published by World Scientific Publishing Company. This book was released on 2010-10-13 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex multiscale systems such as combined free or porous flow regimes and transport processes governed by combined diffusion, convection and reaction mechanisms, which cannot be readily modeled using traditional methods, can be solved by multiscale or stabilized finite element schemes.Due to the importance of the described multiscale processes in applications such as separation processes, reaction engineering and environmental systems analysis, a sound knowledge of such methods is essential for many researchers and design engineers who wish to develop reliable solutions for industrially relevant problems. The main scope of this book is to provide an authoritative description of recent developments in the field of finite element analysis, with a particular emphasis on the multiscale finite element modeling of transport phenomena and flow problem./a
Author :
Publisher :
ISBN 13 :
Total Pages : 62 pages
Book Rating : 4.:/5 (78 download)
Download or read book Some Residual-Free Bubble Enrichment Least-Squares Finite Element Method for the Convection-Diffusion Equation written by and published by . This book was released on 2008 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Institut National de Recherche en Informatique et en Automatique
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (247 download)
Download or read book A Relationship Between Stabilized Finite Element Methods and the Galerkin Method with Bubble Functions written by Institut National de Recherche en Informatique et en Automatique and published by . This book was released on 1991 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "A relation between stabilized finite element methods and the Galerkin method employing interpolations with bubble functions is established for the advective-diffusive model and for the linearized compressible Navier-Stokes equations. The bubble functions are shown to help in stabilizing the advective operator without recourse to upwinding or any other numerical strategy. In particular, for the advective-diffusive model, the Galerkin method employing piecewise linears with bubble functions is shown to be equivalent to the Streamline-Upwind/Petrov- Galerkin (SUPG) method in the diffusive limit."
Author : Leopoldo P. Franca
Publisher :
ISBN 13 :
Total Pages : 25 pages
Book Rating : 4.:/5 (525 download)
Download or read book On an Improved Unusual Stabilized Finite Element Method for the Advective-reactive-diffusive Equation written by Leopoldo P. Franca and published by . This book was released on 1999 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : René de Borst
Publisher : Springer Science & Business Media
ISBN 13 : 9048198097
Total Pages : 451 pages
Book Rating : 4.0/5 (481 download)
Download or read book Multiscale Methods in Computational Mechanics written by René de Borst and published by Springer Science & Business Media. This book was released on 2010-10-09 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work gives a modern, up-to-date account of recent developments in computational multiscale mechanics. Both upscaling and concurrent computing methodologies will be addressed for a range of application areas in computational solid and fluid mechanics: Scale transitions in materials, turbulence in fluid-structure interaction problems, multiscale/multilevel optimization, multiscale poromechanics. A Dutch-German research group that consists of qualified and well-known researchers in the field has worked for six years on the topic of computational multiscale mechanics. This text provides a unique opportunity to consolidate and disseminate the knowledge gained in this project. The addition of chapters written by experts outside this working group provides a broad and multifaceted view of this rapidly evolving field.
Author : Irina Kalashnikova
Publisher : Stanford University
ISBN 13 :
Total Pages : 178 pages
Book Rating : 4.F/5 ( download)
Download or read book The Discontinuous Enrichment Method (DEM) for Multi-scale Transport Problems written by Irina Kalashnikova and published by Stanford University. This book was released on 2011 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: A discontinuous enrichment method (DEM) for the efficient finite element solution of advection-dominated transport problems in fluid mechanics whose solutions are known to possess multi-scale features is developed. Attention is focused specifically on the two-dimensional (2D) advection-diffusion equation, the usual scalar model for the Navier-Stokes equations. Following the basic DEM methodology [1], the usual Galerkin polynomial approximation is locally enriched by the free-space solutions to the governing homogeneous partial differential equation (PDE). For the constant-coefficient advection-diffusion equation, several families of free-space solutions are derived. These include a family of exponential functions that exhibit a steep gradient in some flow direction, and a family of discontinuous polynomials. A parametrization of the former class of functions with respect to an angle parameter is developed, so as to enable the systematic design and implementation of DEM elements of arbitrary orders. It is shown that the original constant-coefficient methodology has a natural extension to variable-coefficient advection-diffusion problems. For variable-coefficient transport problems, the approximation properties of DEM can be improved by augmenting locally the enrichment space with a "higher-order" enrichment function that solves the governing PDE with the advection field a(x) linearized to second order. A space of Lagrange multipliers, introduced at the element interfaces to enforce a weak continuity of the solution and related to the normal derivatives of the enrichment functions, is developed. The construction of several low and higher-order DEM elements fitting this paradigm is discussed in detail. Numerical results for several constant as well as variable-coefficient advection-diffusion benchmark problems reveal that these DEM elements outperform their standard Galerkin and stabilized Galerkin counterparts of comparable computational complexity by a large margin, especially when the flow is advection-dominated.
Author : Alireza Yazdani
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (817 download)
Download or read book A Novel Bubble Function Scheme for the Finite Element Soulution of Engineering Flow Problems written by Alireza Yazdani and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis is devoted to the study of some difficulties of practical implementation of finite element solution of differential equations within the context of multi-scale engineering flow problems. In particular, stabilized finite elements and issues associated with computer implementation of these schemes are discussed and a novel technique towards practical implementation of such schemes is presented. The idea behind this novel technique is to introduce elemental shape functions of the polynomial forms that acquire higher degrees and are optimized at the element level, using the least squares minimization of the residual. This technique provides a practical scheme that improves the accuracy of the [mite element solution while using crude discretization. The method of residual free bubble functions is the point of our departure. Residual free bubble functions yield accurate solutions for the problems of different scales of amplitude in the variations of the field unknown. These functions, however, are not readily derivable and due to their complex forms, they are not usually significant from a practical point of view. Computation of a residual free bubble function involves the solution of the local residual differential equations, which can be as difficult as the solution of the original problem These will result in lack of flexibility or impracticality, especially in higher dimensions and non-symmetric problems. We benefit from the advantages of polynomials that are continuous, differentiable and easily integrated and derive practical polynomial bubble functions that approximate the residual free bubble functions, using the method of least squares minimization. We employ our technique to solve several problems and show its practicality and superiority over the c1assical linear finite elements.
Author : Carlos Conca
Publisher : CRC Press
ISBN 13 : 9780582313200
Total Pages : 196 pages
Book Rating : 4.3/5 (132 download)
Download or read book Numerical Methods in Mechanics written by Carlos Conca and published by CRC Press. This book was released on 1997-07-16 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the invited papers given at the Fourth French-Latin American Congress on Applied Mathematics. New numerical techniques in fluid and solid mechanics were presented.
Author : J. Necas
Publisher : Routledge
ISBN 13 : 1351425862
Total Pages : 364 pages
Book Rating : 4.3/5 (514 download)
Download or read book Partial Differential Equations written by J. Necas and published by Routledge. This book was released on 2018-05-04 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a satellite conference of the 1998 International Mathematical Congress and part of the celebration of the 650th anniversary of Charles University, the Partial Differential Equations Theory and Numerical Solution conference was held in Prague in August, 1998. With its rich scientific program, the conference provided an opportunity for almost 200 participants to gather and discuss emerging directions and recent developments in partial differential equations (PDEs). This volume comprises the Proceedings of that conference. In it, leading specialists in partial differential equations, calculus of variations, and numerical analysis present up-to-date results, applications, and advances in numerical methods in their fields. Conference organizers chose the contributors to bring together the scientists best able to present a complex view of problems, starting from the modeling, passing through the mathematical treatment, and ending with numerical realization. The applications discussed include fluid dynamics, semiconductor technology, image analysis, motion analysis, and optimal control. The importance and quantity of research carried out around the world in this field makes it imperative for researchers, applied mathematicians, physicists and engineers to keep up with the latest developments. With its panel of international contributors and survey of the recent ramifications of theory, applications, and numerical methods, Partial Differential Equations: Theory and Numerical Solution provides a convenient means to that end.
Author : M'hamed Souli
Publisher : John Wiley & Sons
ISBN 13 : 1118618688
Total Pages : 189 pages
Book Rating : 4.1/5 (186 download)
Download or read book Arbitrary Lagrangian Eulerian and Fluid-Structure Interaction written by M'hamed Souli and published by John Wiley & Sons. This book was released on 2013-03-01 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the fundamental basics for solving fluid structure interaction problems, and describes different algorithms and numerical methods used to solve problems where fluid and structure can be weakly or strongly coupled. These approaches are illustrated with examples arising from industrial or academic applications. Each of these approaches has its own performance and limitations. The added mass technique is described first. Following this, for general coupling problems involving large deformation of the structure, the Navier-Stokes equations need to be solved in a moving mesh using an ALE formulation. The main aspects of the fluid structure coupling are then developed. The first and by far simplest coupling method is explicit partitioned coupling. In order to preserve the flexibility and modularity that are inherent in the partitioned coupling, we also describe the implicit partitioned coupling using an iterative process. In order to reduce computational time for large-scale problems, an introduction to the Proper Orthogonal Decomposition (POD) technique applied to FSI problems is also presented. To extend the application of coupling problems, mathematical descriptions and numerical simulations of multiphase problems using level set techniques for interface tracking are presented and illustrated using specific coupling problems. Given the book's comprehensive coverage, engineers, graduate students and researchers involved in the simulation of practical fluid structure interaction problems will find this book extremely useful.
Author : Sanjay Misra
Publisher : Springer
ISBN 13 : 3030243028
Total Pages : 728 pages
Book Rating : 4.0/5 (32 download)
Download or read book Computational Science and Its Applications – ICCSA 2019 written by Sanjay Misra and published by Springer. This book was released on 2019-06-28 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: The six volumes LNCS 11619-11624 constitute the refereed proceedings of the 19th International Conference on Computational Science and Its Applications, ICCSA 2019, held in Saint Petersburg, Russia, in July 2019. The 64 full papers, 10 short papers and 259 workshop papers presented were carefully reviewed and selected form numerous submissions. The 64 full papers are organized in the following five general tracks: computational methods, algorithms and scientific applications; high performance computing and networks; geometric modeling, graphics and visualization; advanced and emerging applications; and information systems and technologies. The 259 workshop papers were presented at 33 workshops in various areas of computational sciences, ranging from computational science technologies to specific areas of computational sciences, such as software engineering, security, artificial intelligence and blockchain technologies.
Author : F. Brezzi
Publisher : Springer Science & Business Media
ISBN 13 : 8847020891
Total Pages : 981 pages
Book Rating : 4.8/5 (47 download)
Download or read book Numerical Mathematics and Advanced Applications written by F. Brezzi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 981 pages. Available in PDF, EPUB and Kindle. Book excerpt: An invaluable instrument for gaining a wide-ranging perspective on the latest developments in mathematical aspects of scientific computing, discovering new applications and the most recent developments in long-standing applications. Provides an insight into the state of the art of Numerical Mathematics and, more generally, into the field of Advanced Applications.
Author : Steffen Marburg
Publisher : Springer Science & Business Media
ISBN 13 : 3540774483
Total Pages : 584 pages
Book Rating : 4.5/5 (47 download)
Download or read book Computational Acoustics of Noise Propagation in Fluids - Finite and Boundary Element Methods written by Steffen Marburg and published by Springer Science & Business Media. This book was released on 2008-02-27 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a survey of numerical methods for acoustics, namely the finite element method (FEM) and the boundary element method (BEM). It is the first book summarizing FEM and BEM (and optimization) for acoustics. The book shows that both methods can be effectively used for many other cases, FEM even for open domains and BEM for closed ones. Emphasis of the book is put on numerical aspects and on treatment of the exterior problem in acoustics, i.e. noise radiation.
Author : Luigi Carlo Berselli
Publisher : Springer Science & Business Media
ISBN 13 : 9783540263166
Total Pages : 378 pages
Book Rating : 4.2/5 (631 download)
Download or read book Mathematics of Large Eddy Simulation of Turbulent Flows written by Luigi Carlo Berselli and published by Springer Science & Business Media. This book was released on 2006 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: The LES-method is rapidly developing in many practical applications in engineering The mathematical background is presented here for the first time in book form by one of the leaders in the field
