A Finite Element Scheme for Shock Capturing

A Finite Element Scheme for Shock Capturing PDF Author: Rutherford C. Berger
Publisher:
ISBN:
Category : Hydraulic jump
Languages : en
Pages : 62

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A Finite Element Scheme for Shock Capturing

A Finite Element Scheme for Shock Capturing PDF Author: Rutherford C. Berger
Publisher:
ISBN:
Category : Hydraulic jump
Languages : en
Pages : 62

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A Finite Element Scheme for Shock Capturing

A Finite Element Scheme for Shock Capturing PDF Author: Rutherford C. Berger
Publisher:
ISBN:
Category : Hydraulic jump
Languages : en
Pages : 68

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Finite Elements and Approximation

Finite Elements and Approximation PDF Author: O. C. Zienkiewicz
Publisher: Courier Corporation
ISBN: 048631801X
Category : Technology & Engineering
Languages : en
Pages : 356

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Book Description
A powerful tool for the approximate solution of differential equations, the finite element is extensively used in industry and research. This book offers students of engineering and physics a comprehensive view of the principles involved, with numerous illustrative examples and exercises. Starting with continuum boundary value problems and the need for numerical discretization, the text examines finite difference methods, weighted residual methods in the context of continuous trial functions, and piecewise defined trial functions and the finite element method. Additional topics include higher order finite element approximation, mapping and numerical integration, variational methods, and partial discretization and time-dependent problems. A survey of generalized finite elements and error estimates concludes the text.

The Finite Element Method Set

The Finite Element Method Set PDF Author: O. C. Zienkiewicz
Publisher: Elsevier
ISBN: 0080531679
Category : Technology & Engineering
Languages : en
Pages : 1863

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Book Description
The sixth editions of these seminal books deliver the most up to date and comprehensive reference yet on the finite element method for all engineers and mathematicians. Renowned for their scope, range and authority, the new editions have been significantly developed in terms of both contents and scope. Each book is now complete in its own right and provides self-contained reference; used together they provide a formidable resource covering the theory and the application of the universally used FEM. Written by the leading professors in their fields, the three books cover the basis of the method, its application to solid mechanics and to fluid dynamics.* This is THE classic finite element method set, by two the subject's leading authors * FEM is a constantly developing subject, and any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in these books * Fully up-to-date; ideal for teaching and reference

Flux-Corrected Transport

Flux-Corrected Transport PDF Author: Dmitri Kuzmin
Publisher: Springer Science & Business Media
ISBN: 9400740379
Category : Science
Languages : en
Pages : 462

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Book Description
Addressing students and researchers as well as Computational Fluid Dynamics practitioners, this book is the most comprehensive review of high-resolution schemes based on the principle of Flux-Corrected Transport (FCT). The foreword by J.P. Boris and historical note by D.L. Book describe the development of the classical FCT methodology for convection-dominated transport problems, while the design philosophy behind modern FCT schemes is explained by S.T. Zalesak. The subsequent chapters present various improvements and generalizations proposed over the past three decades. In this new edition, recent results are integrated into existing chapters in order to describe significant advances since the publication of the first edition. Also, 3 new chapters were added in order to cover the following topics: algebraic flux correction for finite elements, iterative and linearized FCT schemes, TVD-like flux limiters, acceleration of explicit and implicit solvers, mesh adaptation, failsafe limiting for systems of conservation laws, flux-corrected interpolation (remapping), positivity preservation in RANS turbulence models, and the use of FCT as an implicit subgrid scale model for large eddy simulations.

Technical Report HL

Technical Report HL PDF Author:
Publisher:
ISBN:
Category : Hydraulic engineering
Languages : en
Pages : 72

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Discontinuous Galerkin Methods

Discontinuous Galerkin Methods PDF Author: Bernardo Cockburn
Publisher: Springer Science & Business Media
ISBN: 3642597211
Category : Mathematics
Languages : en
Pages : 468

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Book Description
A class of finite element methods, the Discontinuous Galerkin Methods (DGM), has been under rapid development recently and has found its use very quickly in such diverse applications as aeroacoustics, semi-conductor device simula tion, turbomachinery, turbulent flows, materials processing, MHD and plasma simulations, and image processing. While there has been a lot of interest from mathematicians, physicists and engineers in DGM, only scattered information is available and there has been no prior effort in organizing and publishing the existing volume of knowledge on this subject. In May 24-26, 1999 we organized in Newport (Rhode Island, USA), the first international symposium on DGM with equal emphasis on the theory, numerical implementation, and applications. Eighteen invited speakers, lead ers in the field, and thirty-two contributors presented various aspects and addressed open issues on DGM. In this volume we include forty-nine papers presented in the Symposium as well as a survey paper written by the organiz ers. All papers were peer-reviewed. A summary of these papers is included in the survey paper, which also provides a historical perspective of the evolution of DGM and its relation to other numerical methods. We hope this volume will become a major reference in this topic. It is intended for students and researchers who work in theory and application of numerical solution of convection dominated partial differential equations. The papers were written with the assumption that the reader has some knowledge of classical finite elements and finite volume methods.

Advancement of Shock Capturing Computational Fluid Dynamics Methods

Advancement of Shock Capturing Computational Fluid Dynamics Methods PDF Author: Keiichi Kitamura
Publisher: Springer Nature
ISBN: 9811590117
Category : Science
Languages : en
Pages : 136

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Book Description
This book offers a compact primer on advanced numerical flux functions in computational fluid dynamics (CFD). It comprehensively introduces readers to methods used at the forefront of compressible flow simulation research. Further, it provides a comparative evaluation of the methods discussed, helping readers select the best numerical flux function for their specific needs. The first two chapters of the book reviews finite volume methods and numerical functions, before discussing issues commonly encountered in connection with each. The third and fourth chapter, respectively, address numerical flux functions for ideal gases and more complex fluid flow cases— multiphase flows, supercritical fluids and magnetohydrodynamics. In closing, the book highlights methods that provide high levels of accuracy. The concise content provides an overview of recent advances in CFD methods for shockwaves. Further, it presents the author’s insights into the advantages and disadvantages of each method, helping readers implement the numerical methods in their own research.

The Finite Element Method for Fluid Dynamics

The Finite Element Method for Fluid Dynamics PDF Author: O. C. Zienkiewicz
Publisher: Elsevier
ISBN: 008045559X
Category : Mathematics
Languages : en
Pages : 457

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Book Description
Dealing with general problems in fluid mechanics, convection diffusion, compressible and incompressible laminar and turbulent flow, shallow water flows and waves, this is the leading text and reference for engineers working with fluid dynamics in fields including aerospace engineering, vehicle design, thermal engineering and many other engineering applications. The new edition is a complete fluids text and reference in its own right. Along with its companion volumes it forms part of the indispensable Finite Element Method series.New material in this edition includes sub-grid scale modelling; artificial compressibility; full new chapters on turbulent flows, free surface flows and porous medium flows; expanded shallow water flows plus long, medium and short waves; and advances in parallel computing. - A complete, stand-alone reference on fluid mechanics applications of the FEM for mechanical, aeronautical, automotive, marine, chemical and civil engineers. - Extensive new coverage of turbulent flow and free surface treatments

Computer Methods for Nonlinear Solids and Structural Mechanics

Computer Methods for Nonlinear Solids and Structural Mechanics PDF Author: Satya N. Atluri
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 288

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Book Description