A Streamline Upwind Petrov Galerkin Scheme for Control Volume Finite Elements

A Streamline Upwind Petrov Galerkin Scheme for Control Volume Finite Elements PDF Author: Chittur Ramanathan Swaminathan
Publisher:
ISBN:
Category : Finite element method
Languages : en
Pages : 24

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A Streamline Upwind Petrov Galerkin Scheme for Control Volume Finite Elements

A Streamline Upwind Petrov Galerkin Scheme for Control Volume Finite Elements PDF Author: Chittur Ramanathan Swaminathan
Publisher:
ISBN:
Category : Finite element method
Languages : en
Pages : 24

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Book Description


A Streamline Upwind Petrov Galerkin Scheme for Control Volume Finite Elements

A Streamline Upwind Petrov Galerkin Scheme for Control Volume Finite Elements PDF Author: Chittur Ramanathan Swaminathan
Publisher:
ISBN:
Category : Finite element method
Languages : en
Pages : 28

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Book Description


Finite Element Methods for Computational Fluid Dynamics

Finite Element Methods for Computational Fluid Dynamics PDF Author: Dmitri Kuzmin
Publisher: SIAM
ISBN: 1611973600
Category : Science
Languages : en
Pages : 321

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Book Description
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.?

A Streamline-Upwind Petrov-Galerkin Finite Element Scheme for Non-Ionized Hypersonic Flows in Thermochemical Nonequilibrium

A Streamline-Upwind Petrov-Galerkin Finite Element Scheme for Non-Ionized Hypersonic Flows in Thermochemical Nonequilibrium PDF Author: Benjamin S. Kirk
Publisher: BiblioGov
ISBN: 9781289131937
Category :
Languages : en
Pages : 38

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Book Description
Presentation topics include background and motivation; physical modeling including governing equations and thermochemistry; finite element formulation; results of inviscid thermal nonequilibrium chemically reacting flow and viscous thermal equilibrium chemical reacting flow; and near-term effort.

Finite Element Procedures

Finite Element Procedures PDF Author: Klaus-Jürgen Bathe
Publisher: Klaus-Jurgen Bathe
ISBN: 9780979004902
Category : Engineering mathematics
Languages : en
Pages : 1056

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Finite Element Methods for Convection Dominated Flows

Finite Element Methods for Convection Dominated Flows PDF Author: American Society of Mechanical Engineers. Applied Mechanics Division
Publisher:
ISBN:
Category : Finite element method
Languages : en
Pages :

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Advances In Numerical Heat Transfer

Advances In Numerical Heat Transfer PDF Author: W. Minkowycz
Publisher: CRC Press
ISBN: 9781560324416
Category : Science
Languages : en
Pages : 456

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Book Description
This is the first volume in the series. It analyzes several fundamental methodology issues in numerical heat transfer and fluid flow and identifies certain areas of active application. The finite-volume approach is presented with the finite-element methods as well as with energy balance analysis. Applications include the latest development in turbulence modeling and current approaches to inverse problems.

A Relationship Between Stabilized Finite Element Methods and the Galerkin Method with Bubble Functions

A Relationship Between Stabilized Finite Element Methods and the Galerkin Method with Bubble Functions PDF Author: Institut National de Recherche en Informatique et en Automatique
Publisher:
ISBN:
Category : Finite element method
Languages : en
Pages : 20

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Book Description
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."

Fundamentals of Fluid-Solid Interactions

Fundamentals of Fluid-Solid Interactions PDF Author: Xiaodong (Sheldon) Wang
Publisher: Elsevier
ISBN: 0080559700
Category : Science
Languages : en
Pages : 587

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Book Description
This book focuses on the computational and theoretical approaches to the coupling of fluid mechanics and solids mechanics. In particular, nonlinear dynamical systems are introduced to the handling of complex fluid-solid interaction systems, For the past few decades, many terminologies have been introduced to this field, namely, flow-induced vibration, aeroelasticity, hydroelasticity, fluid-structure interaction, fluid-solid interaction, and more recently multi-physics problems. Moreover, engineering applications are distributed within different disciplines, such as nuclear, civil, aerospace, ocean, chemical, electrical, and mechanical engineering. Regrettably, while each particular subject is by itself very extensive, it has been difficult for a single book to cover in a reasonable depth and in the mean time to connect various topics. In light of the current multidisciplinary research need in nanotechnology and bioengineering, there is an urgent need for books to provide such a linkage and to lay a foundation for more specialized fields. - Interdisciplinary across all types of engineering - Comprehensive study of fluid-solid interaction - Discusses complex system dynamics derived from interactive systems - Provides mathematic modeling of biological systems

Least-Squares Finite Element Methods

Least-Squares Finite Element Methods PDF Author: Pavel B. Bochev
Publisher: Springer Science & Business Media
ISBN: 0387689222
Category : Mathematics
Languages : en
Pages : 669

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Book Description
Since their emergence, finite element methods have taken a place as one of the most versatile and powerful methodologies for the approximate numerical solution of Partial Differential Equations. These methods are used in incompressible fluid flow, heat, transfer, and other problems. This book provides researchers and practitioners with a concise guide to the theory and practice of least-square finite element methods, their strengths and weaknesses, established successes, and open problems.