Etude d'une méthode de volumes finis de type Galerkin discontinu PDF Download
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Author: Béla Berde
Publisher:
ISBN:
Category :
Languages : fr
Pages : 230
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Author: Béla Berde
Publisher:
ISBN:
Category :
Languages : fr
Pages : 230
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Author: Mohammad-Reza Moosavi
Publisher:
ISBN:
Category :
Languages : fr
Pages : 0
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Book Description
Ce travail porte sur le développement d'une nouvelle méthode numérique intitulée « Meshless local Petrov Galerkin (MLPG) combinée à la méthode des volumes finis (MVF) » appliquée au calcul de structures. Elle est basée sur la résolution de la forme faible des équations aux dérivées partielles par une méthode de Petrov Galerkin comme en éléments finis, mais par contre l'approximation du champ de déplacement introduite dans la forme faible ne nécessite pas de maillage. Seul un ensemble de nœuds est réparti dans le domaine et l'approximation du champ de déplacement en un point ne dépend que de la distance de ce point par rapport aux nœuds qui l'entourent et non de l'appartenance à un certain élément fini. Les déformations et les déplacements sont déterminés aux différents nœuds par interpolation locale en utilisant les moindres carrés mobiles (MLS). Les valeurs des déformations aux nœuds sont exprimées en termes de valeurs nodales interpolées indépendamment des déplacements, en imposant simplement la relation déformation déplacement directement par collocation aux points nodaux. La procédure de calcul pour cette méthode est implémentée dans un programme de calcul développé sous MATLAB. Le code obtenu a été validé sur un certain nombre de cas tests par comparaison avec des solutions analytiques de référence et des calculs éléments finis comme ABAQUS. L'ensemble de ces tests a montré un bon comportement de la méthode (environs 0.0001% d'erreurs par rapport à la solution exacte). L'approche est étendue pour l'étude des poutres minces et pour l'analyse dynamique et stabilité.
Author: Jiri Blazek
Publisher: Elsevier
ISBN: 0080529674
Category : Science
Languages : en
Pages : 491
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Book Description
Computational Fluid Dynamics (CFD) is an important design tool in engineering and also a substantial research tool in various physical sciences as well as in biology. The objective of this book is to provide university students with a solid foundation for understanding the numerical methods employed in today's CFD and to familiarise them with modern CFD codes by hands-on experience. It is also intended for engineers and scientists starting to work in the field of CFD or for those who apply CFD codes. Due to the detailed index, the text can serve as a reference handbook too. Each chapter includes an extensive bibliography, which provides an excellent basis for further studies.
Author:
Publisher:
ISBN:
Category : Groundwater
Languages : en
Pages : 48
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Author: Pierre Grisvard
Publisher: Springer
ISBN:
Category : Boundary value problems
Languages : en
Pages : 224
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Author: Sir John Townsend
Publisher:
ISBN:
Category : Electric conductivity
Languages : en
Pages : 112
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Author: Eugene Isaacson
Publisher: Courier Corporation
ISBN: 0486137988
Category : Mathematics
Languages : en
Pages : 580
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Book Description
This excellent text for advanced undergraduate and graduate students covers norms, numerical solutions of linear systems and matrix factoring, eigenvalues and eigenvectors, polynomial approximation, and more. Many examples and problems. 1966 edition.
Author: D.G. Roychowdhury
Publisher: CRC Press
ISBN: 1000096319
Category : Science
Languages : en
Pages : 417
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Book Description
This textbook covers fundamental and advanced concepts of computational fluid dynamics, a powerful and essential tool for fluid flow analysis. It discusses various governing equations used in the field, their derivations, and the physical and mathematical significance of partial differential equations and the boundary conditions. It covers fundamental concepts of finite difference and finite volume methods for diffusion, convection-diffusion problems both for cartesian and non-orthogonal grids. The solution of algebraic equations arising due to finite difference and finite volume discretization are highlighted using direct and iterative methods. Pedagogical features including solved problems and unsolved exercises are interspersed throughout the text for better understanding. The textbook is primarily written for senior undergraduate and graduate students in the field of mechanical engineering and aerospace engineering, for a course on computational fluid dynamics and heat transfer. The textbook will be accompanied by teaching resources including a solution manual for the instructors. Written clearly and with sufficient foundational background to strengthen fundamental knowledge of the topic. Offers a detailed discussion of both finite difference and finite volume methods. Discusses various higher-order bounded convective schemes, TVD discretisation schemes based on the flux limiter essential for a general purpose CFD computation. Discusses algorithms connected with pressure-linked equations for incompressible flow. Covers turbulence modelling like k-ε, k-ω, SST k-ω, Reynolds Stress Transport models. A separate chapter on best practice guidelines is included to help CFD practitioners.
Author: Alain Hébert
Publisher: Presses inter Polytechnique
ISBN: 2553014368
Category : Nuclear physics
Languages : en
Pages : 426
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Book Description
Author: Agnes Buka
Publisher: World Scientific
ISBN: 1848167997
Category : Science
Languages : en
Pages : 299
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Book Description
The book intends to give a state-of-the-art overview of flexoelectricity, a linear physical coupling between mechanical (orientational) deformations and electric polarization, which is specific to systems with orientational order, such as liquid crystals. Chapters written by experts in the field shed light on theoretical as well as experimental aspects of research carried out since the discovery of flexoelectricity. Besides a common macroscopic (continuum) description the microscopic theory of flexoelectricity is also addressed. Electro-optic effects due to or modified by flexoelectricity as well as various (direct and indirect) measurement methods are discussed. Special emphasis is given to the role of flexoelectricity in pattern-forming instabilities. While the main focus of the book lies in flexoelectricity in nematic liquid crystals, peculiarities of other mesophases (bent-core systems, cholesterics, and smectics) are also reviewed. Flexoelectricity has relevance to biological (living) systems and can also offer possibilities for technical applications. The basics of these two interdisciplinary fields are also summarized.
