Download or read book A Finite Element Analysis of Steady Two Dimensional Incompressible Laminar Flow written by Gary Richard Wooley and published by . This book was released on 1972 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Incompressible Flow and the Finite Element Method Volume 2 written by P. M. Gresho and published by Wiley. This book was released on 2000-06-22 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive two-volume reference covers the application of the finite element method to incompressible flows in fluid mechanics, addressing the theoretical background and the development of appropriate numerical methods applied to their solution. Volume One provides extensive coverage of the prototypical fluid mechanics equation: the advection-diffusion equation. For both this equation and the equations of principal interest - the Navier-Stokes equations (covered in detail in Volume Two) - a discussion of both the continuous and discrete equations is presented, as well as explanations of how to properly march the time-dependent equations using smart implicit methods. Boundary and initial conditions, so important in applications, are carefully described and discussed, including well-posedness. The important role played by the pressure, so confusing in the past, is carefully explained. The book explains and emphasizes consistency in six areas: * consistent mass matrix * consistent pressure Poisson equation * consistent penalty methods * consistent normal direction * consistent heat flux * consistent forces Fully indexed and referenced, this book is an essential reference tool for all researchers, students and applied scientists in incompressible fluid mechanics.
Download or read book Incompressible Flow and the Finite Element Method Incompressible Flow and the Finite Element Method Advection Diffusion and Isothermal Laminar Flow Combined Edition written by P. M. Gresho and published by . This book was released on 1998-06-18 with total page 1072 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive reference work covers all the important details regarding the application of the finite element method to incompressible flows. It addresses the theoretical background and the detailed development of appropriate numerical methods applied to the solution of a wide range of incompressible flows, beginning with extensive coverage of the advection-diffusion equation in volume one. For both this equation and the equations of principal interest - the Navier-Stokes equations, covered in detail in volume two - detailed discussion of both the continuous and discrete equations is presented, as well as explanations of how to properly march the time-dependent equations using smart implicit methods. Boundary and initial conditions, so important in applications, are carefully described and discussed, including well-posedness. The important role played by the pressure, so confusing in the past, is carefully explained. Together, this two volume work explains and emphasizes consistency in six areas: · consistent mass matrix · consistent pressure Poisson equation · consistent penalty methods · consistent normal direction · consistent heat flux · consistent forces Fully indexed and referenced, this book is an essential reference tool for all researchers, students and applied scientists in incompressible fluid mechanics.
Download or read book Incompressible Flow and the Finite Element Method written by P. M. Gresho and published by John Wiley & Sons Incorporated. This book was released on 1997-01-01 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text deals with the applications of the finite element method to incompressible flows. Volume One addresses the theoretical background and the methods development to the solution of a wide range of incompressible flows. Volume Two due May 1997) will be practice orientated and will address the simulation of the numerical solutions of the Navier-Stoke equations via the finite element method.
Download or read book Incompressible Flow and the Finite Element Method 2 Volume Set written by P. M. Gresho and published by Wiley. This book was released on 2000-07-26 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive reference work covers all the important details regarding the application of the finite element method to incompressible flows. It addresses the theoretical background and the detailed development of appropriate numerical methods applied to the solution of a wide range of incompressible flows, beginning with extensive coverage of the advection-diffusion equation in volume one. For both this equation and the equations of principal interest - the Navier-Stokes equations, covered in detail in volume two - detailed discussion of both the continuous and discrete equations is presented, as well as explanations of how to properly march the time-dependent equations using smart implicit methods. Boundary and initial conditions, so important in applications, are carefully described and discussed, including well-posedness. The important role played by the pressure, so confusing in the past, is carefully explained. Together, this two volume work explains and emphasizes consistency in six areas: * consistent mass matrix * consistent pressure Poisson equation * consistent penalty methods * consistent normal direction * consistent heat flux * consistent forces Fully indexed and referenced, this book is an essential reference tool for all researchers, students and applied scientists in incompressible fluid mechanics.
Download or read book Finite Element Methods for Incompressible Flow Problems written by Volker John and published by Springer. This book was released on 2016-10-27 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores finite element methods for incompressible flow problems: Stokes equations, stationary Navier-Stokes equations and time-dependent Navier-Stokes equations. It focuses on numerical analysis, but also discusses the practical use of these methods and includes numerical illustrations. It also provides a comprehensive overview of analytical results for turbulence models. The proofs are presented step by step, allowing readers to more easily understand the analytical techniques.
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:
Download or read book Finite Element Analysis in Fluid Dynamics written by T. J. Chung and published by . This book was released on 1978 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: New York : McGraw-Hill International Book Co., c1978.
Download or read book Finite Element Techniques for Fluid Flow written by J. J. Connor and published by Newnes. This book was released on 2013-09-11 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Element Techniques for Fluid Flow describes the advances in the applications of finite element techniques to fluid mechanics. Topics covered range from weighted residual and variational methods to interpolation functions, inviscid fluids, and flow through porous media. The basic principles and governing equations of fluid mechanics as well as problems related to dispersion and shallow water circulation are also discussed. This text is comprised of nine chapters; the first of which explains some basic definitions and properties as well as the basic principles of weighted residual and variational methods. The reader is then introduced to the simple finite element concepts and models, and gradually to more complex applications. The chapters that follow focus on the governing equations of fluid flow, the solutions to potential type problems, and viscous flow problems in porous media. The solutions to more specialized problems are also presented. This book also considers how circulation problems can be tackled using finite elements, presents a solution to the mass transfer equation, and concludes with an explanation of how to solve general transient incompressible flows. This source will be of use to engineers, applied mathematicians, physicists, self-taught students, and research workers.
Download or read book A Finite Element Differential Method for Incompressible Turbulent Boundary Layer Flows written by Ted Tyne-Hsien Chang and published by . This book was released on 1981 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: The applicability as well as the accuracy and efficiency of a finite element-differential method, which had been shown to be a very effective method for laminar flows, is investigated in detail for more complex steady two-dimensional incompressible turbulent boundary layer flow problems. The closure model chosen for the turbulent flows is a two-layer eddy viscosity model. A number of important transformations have been carried out for the system of governing equations before the application of the proposed solution method. In the method of solution, the transformed partial differential equation is first reduced to a system of first order nonlinear ordinary differential equations by a subdomain collocation method, in which the unknown function at a streamwise station is represented by a classical spline function. The resulting initial value problem is then integrated numerically by the modified Hamming's predictor-corrector method as well as by Gear's method for stiff equations. The numerical experiments have been conducted on the flat plate problem which consists of the laminar, transitional, and turbulent flow regions covering the range of local Reynolds numbers from 800 to 800 million. The study shows that the method of solution can be very efficient and provides highly accurate results for the turbulent flow problem.
Download or read book Incompressible Flow and the Finite Element Method written by Philip M. Gresho and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Finite Element Analysis of Two Dimensional Unsteady Incompressible Potential Flow written by and published by . This book was released on 1990 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Solution of the Navier Stokes equations for transient two dimensional incompressible flow by the finite element method written by Stewart Laurence Smith and published by . This book was released on 1977 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Finite Element Method in Engineering written by Singiresu S. Rao and published by Elsevier. This book was released on 2010-12-20 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Finite Element Method in Engineering, Fifth Edition, provides a complete introduction to finite element methods with applications to solid mechanics, fluid mechanics, and heat transfer. Written by bestselling author S.S. Rao, this book provides students with a thorough grounding of the mathematical principles for setting up finite element solutions in civil, mechanical, and aerospace engineering applications. The new edition of this textbook includes examples using modern computer tools such as MatLab, Ansys, Nastran, and Abaqus.This book discusses a wide range of topics, including discretization of the domain; interpolation models; higher order and isoparametric elements; derivation of element matrices and vectors; assembly of element matrices and vectors and derivation of system equations; numerical solution of finite element equations; basic equations of fluid mechanics; inviscid and irrotational flows; solution of quasi-harmonic equations; and solutions of Helmhotz and Reynolds equations. New to this edition are examples and applications in Matlab, Ansys, and Abaqus; structured problem solving approach in all worked examples; and new discussions throughout, including the direct method of deriving finite element equations, use of strong and weak form formulations, complete treatment of dynamic analysis, and detailed analysis of heat transfer problems. All figures are revised and redrawn for clarity.This book will benefit professional engineers, practicing engineers learning finite element methods, and students in mechanical, structural, civil, and aerospace engineering. Examples and applications in Matlab, Ansys, and Abaqus Structured problem solving approach in all worked examples New discussions throughout, including the direct method of deriving finite element equations, use of strong and weak form formulations, complete treatment of dynamic analysis, and detailed analysis of heat transfer problems More examples and exercises All figures revised and redrawn for clarity
Download or read book Numerical Methods in Laminar and Turbulent Flow written by Cedric Taylor and published by . This book was released on 1981 with total page 1304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A finite element code for a steady two dimensional incompressible isoviscous flow between parallel plates written by J. P. Backer and published by . This book was released on 1984 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Finite Element Analysis of Two Dimensional Unsteady Incompressible Potential Flow written by Shi Jun and published by . This book was released on 1990 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
