Download or read book Numerical Investigation of Conjugate Heat Transfer Using the Least Squares Finite Element Formulation written by Rodney Sutterfield and published by . This book was released on 1998 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Least Squares Finite Element Methods written by Pavel B. Bochev and published by Springer Science & Business Media. This book was released on 2009-04-28 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Investigation of a Least Squares Finite Element Method for Heat Conduction Problems written by Jeffrey R. Lathrop and published by . This book was released on 1996 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advances In Numerical Heat Transfer written by W. Minkowycz and published by CRC Press. This book was released on 1996-11-01 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book TWO DOMAIN HEAT TRANSFER STUDIES USING A COUPLED FINITE DIFFERENCE AND BOUNDARY ELEMENT PROGRAMS written by Serap Dikmenli and published by Serap Dikmenli. This book was released on 1988-05-05 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: An iterative coupling of a finite-difference boundary layer code "STAN5"[1] and a boundary element code "BEASY”[2] have been used to study two dimensional convective-conductive problems. The coupling method essentially leaves undisturbed the codes of these programs and uses their custom features in their applicable domains. The boundary layer program is used in the convective domain, while "BEASY” is used in the solid domain. Compatibility conditions are established between these domain solutions and an iterative scheme is used until these conditions are mutually satisfied. The indirect communication of compatibility (boundary) criteria between these programs was achieved by two editor/data-transferor like programs. Combined entire package controlled by systems dependent communication program. Numerical scheme used by boundary layer program incorporates a stepwise method. The method presents certain advantages, which makes it suitable for coupling with any other domain method such as the boundary element method. A number of applications have been studied to verify the results for each program as well as the coupling scheme. These include flows over Cylinder inclining surfaces, airfoil and wedge shaped models with internal regions subjected to convective or isothermal environments. The results of the conjugate coupling showed the following: 1) Total job-time reduction due to high convergence rate, and time required for the model preparation. 2) A data storage reduction. 3) A substantial collection of system characteristics. The result of iterative coupling scheme is a useful engineering tool that can be used to study conjugate system consisting of boundary layer and conductive domains of arbitrary shapes. [1] Program and method originally developed by Patankar/Spalding later modifications done by Crawford/Kays and P.R. Iyanger [2] Boundary Element Analysis SYstem developed by Computational Mechanics
Download or read book Numerical Thermal Analysis written by Satish P. Ketkar and published by American Society of Mechanical Engineers. This book was released on 1999 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference for engineers who use computerized thermal analysis tools covers the basics of finite difference, finite element, and control volume methods. The author also presents a hybrid method that combines features of finite element modeling with the computational efficiency of finite difference network solution techniques. Annotation copyrighted by Book News, Inc., Portland, OR
Download or read book An Introduction to Nonlinear Finite Element Analysis written by Junuthula Narasimha Reddy and published by . This book was released on 2015 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of An Introduction to Nonlinear Finite Element Analysis has the same objective as the first edition, namely, to facilitate an easy and thorough understanding of the details that are involved in the theoretical formulation, finite element model development, and solutions of nonlinear problems. The book offers an easy-to-understand treatment of the subject of nonlinear finite element analysis, which includes element development from mathematical models and numerical evaluation of the underlying physics. The new edition is extensively reorganized and contains substantial amounts of new material. Chapter 1 in the second edition contains a section on applied functional analysis. Chapter 2 on nonlinear continuum mechanics is entirely new. Chapters 3 through 8 in the new edition correspond to Chapter 2 through 8 of the first edition, but with additional explanations, examples, and exercise problems. Material on time dependent problems from Chapter 8 of the first edition is absorbed into Chapters 4 through 8 of the new edition. Chapter 9 is extensively revised and it contains up to date developments in the large deformation analysis of isotropic, composite and functionally graded shells. Chapter 10 of the first edition on material nonlinearity and coupled problems is reorganized in the second edition by moving the material on solid mechanics to Chapter 12 in the new edition and material on coupled problems to the new chapter, Chapter 10, on weak-form Galerkin finite element models of viscous incompressible fluids. Finally, Chapter 11 in the second edition is entirely new and devoted to least-squares finite element models of viscous incompressible fluids. Chapter 12 of the second edition is enlarged to contain finite element models of viscoelastic beams. In general, all of the chapters of the second edition contain additional explanations, detailed example problems, and additional exercise problems. Although all of the progr
Download or read book An Assessment of Least Squares Finite Element Models with Applications to Problems in Heat Transfer and Solid Mechanics written by Brittan Sheldon Pratt and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Research is performed to assess the viability of applying the least squares model to one-dimensional heat transfer and Euler-Bernoulli Beam Theory problems. Least squares models were developed for both the full and mixed forms of the governing one-dimensional heat transfer equation along weak form Galerkin models. Both least squares and weak form Galerkin models were developed for the first order and second order versions of the Euler-Bernoulli beams. Several numerical examples were presented for the heat transfer and Euler- Bernoulli beam theory. The examples for heat transfer included: a differential equation having the same form as the governing equation, heat transfer in a fin, heat transfer in a bar and axisymmetric heat transfer in a long cylinder. These problems were solved using both least squares models, and the full form weak form Galerkin model. With all four examples the weak form Galerkin model and the full form least squares model produced accurate results for the primary variables. To obtain accurate results with the mixed form least squares model it is necessary to use at least a quadratic polynominal. The least squares models with the appropriate approximation functions yielde more accurate results for the secondary variables than the weak form Galerkin. The examples presented for the beam problem include: a cantilever beam with linearly varying distributed load along the beam and a point load at the end, a simply supported beam with a point load in the middle, and a beam fixed on both ends with a distributed load varying cubically. The first two examples were solved using the least squares model based on the second order equation and a weak form Galerkin model based on the full form of the equation. The third problem was solved with the least squares model based on the second order equation. Both the least squares model and the Galerkin model calculated accurate results for the primary variables, while the least squares model was more accurate on the secondary variables. In general, the least-squares finite element models yield more acurate results for gradients of the solution than the traditional weak form Galkerkin finite element models. Extension of the present assessment to multi-dimensional problems and nonlinear provelms is awaiting attention.
Download or read book Computational Heat Transfer written by Yogesh Jaluria and published by Routledge. This book was released on 2017-10-19 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition updated the material by expanding coverage of certain topics, adding new examples and problems, removing outdated material, and adding a computer disk, which will be included with each book. Professor Jaluria and Torrance have structured a text addressing both finite difference and finite element methods, comparing a number of applicable methods.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A P version Finite Element Method for Steady Incompressible Fluid Flow and Convective Heat Transfer written by Daniel Winterscheidt and published by . This book was released on 1993 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Methods in Heat Transfer written by Roland W. Lewis and published by . This book was released on 1985-09-12 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of expanded and edited versions of selected papers presented at the Conference on Numerical Methods in Thermal Problems held in Seattle in 1983. The papers included cover the current status of numerical methods for thermal problems. As well as discussion of the numerical methods now available and in use, there is consideration of the many applications of these problems.
Download or read book Finite Element Analysis of Transient Forced Convection and Conjugate Heat Transfer written by Cyrus K. Aidun and published by . This book was released on 1985 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book TEXTBOOK OF FINITE ELEMENT ANALYSIS written by P. SESHU and published by PHI Learning Pvt. Ltd.. This book was released on 2003-01-01 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for a one-semester course in Finite Element Method, this compact and well-organized text presents FEM as a tool to find approximate solutions to differential equations. This provides the student a better perspective on the technique and its wide range of applications. This approach reflects the current trend as the present-day applications range from structures to biomechanics to electromagnetics, unlike in conventional texts that view FEM primarily as an extension of matrix methods of structural analysis. After an introduction and a review of mathematical preliminaries, the book gives a detailed discussion on FEM as a technique for solving differential equations and variational formulation of FEM. This is followed by a lucid presentation of one-dimensional and two-dimensional finite elements and finite element formulation for dynamics. The book concludes with some case studies that focus on industrial problems and Appendices that include mini-project topics based on near-real-life problems. Postgraduate/Senior undergraduate students of civil, mechanical and aeronautical engineering will find this text extremely useful; it will also appeal to the practising engineers and the teaching community.
Download or read book P version Least Squares Finite Element Formulation for Axisymmetric Heat Conduction with Temperature Dependent Thermal Conductivities written by Chung S. Ling and published by . This book was released on 1992 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Finite Difference Methods in Heat Transfer written by M. Necati Özişik and published by CRC Press. This book was released on 2017-07-12 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Difference Methods in Heat Transfer presents a clear, step-by-step delineation of finite difference methods for solving engineering problems governed by ordinary and partial differential equations, with emphasis on heat transfer applications. The finite difference techniques presented apply to the numerical solution of problems governed by similar differential equations encountered in many other fields. Fundamental concepts are introduced in an easy-to-follow manner. Representative examples illustrate the application of a variety of powerful and widely used finite difference techniques. The physical situations considered include the steady state and transient heat conduction, phase-change involving melting and solidification, steady and transient forced convection inside ducts, free convection over a flat plate, hyperbolic heat conduction, nonlinear diffusion, numerical grid generation techniques, and hybrid numerical-analytic solutions.
Download or read book Applied mechanics reviews written by and published by . This book was released on 1948 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
