Download or read book Solution of Two dimensional Heat Problems Using the Alternating Direction Method written by Frederick James Leipold and published by . This book was released on 1967 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite difference approximations to the one-dimensional heat equation Ut = Uxx are used to introduce explicit and implicit difference equations. The convergence and stability of these equations is discussed and those concepts are used to show the restrictions imposed on explicit equations. The Implicit Alternating Direction (IAD) method is introduced as a means for solution of the two-dimensional heat equation. Although the IAD method in its basic form is applicable only to parabolic problems it is possible by slight modification to apply the method to elliptic problems. Two examples are used to illustrate the use of the IAD method for solution of parabolic and elliptic equations for a rectangular region. These examples include a work requirement comparision with other difference methods. A third example is given to show the applicability of the IAD method to non-rectangular regions, in this case a parabolic problem over a circular region. Results of these examples show that the IAD method is a convenient and accurate method when applied to both parabolic and elliptic partial differential equations and suggest applicability to a wide range of problems. (Author).
Download or read book Solution of Two dimensional Heat Problems Using the Alternating Direction Method written by and published by . This book was released on 1967 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite difference approximations to the one-dimensional heat equation Ut = Uxx are used to introduce explicit and implicit difference equations. The convergence and stability of these equations is discussed and those concepts are used to show the restrictions imposed on explicit equations. The Implicit Alternating Direction (IAD) method is introduced as a means for solution of the two-dimensional heat equation. Although the IAD method in its basic form is applicable only to parabolic problems it is possible by slight modification to apply the method to elliptic problems. Two examples are used to illustrate the use of the IAD method for solution of parabolic and elliptic equations for a rectangular region. These examples include a work requirement comparision with other difference methods. A third example is given to show the applicability of the IAD method to non-rectangular regions, in this case a parabolic problem over a circular region. Results of these examples show that the IAD method is a convenient and accurate method when applied to both parabolic and elliptic partial differential equations and suggest applicability to a wide range of problems. (Author).
Download or read book An Implicit Numerical Method for Solving the Two dimensional Heat Equation written by George A. Baker and published by . This book was released on 1958 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Solving Two dimensional Heat Equation Using Alternating Direction Implicit Method written by Nur Ain Ayunni Sabri and published by . This book was released on 2009 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Review of Literature on the Finite element Solution of the Equations of Two dimensional Surface water Flow in the Horizontal Plane written by Jonathan K. Lee and published by . This book was released on 1987 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Solving Two Dimensional Heat Equations Using Alternating Direction Implicit ADI Method written by Rohana Mustafa and published by . This book was released on 2014 with total page 71 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 2017-07-20 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Difference Methods in Heat Transfer, Second Edition focuses on finite difference methods and their application to the solution of heat transfer problems. Such methods are based on the discretization of governing equations, initial and boundary conditions, which then replace a continuous partial differential problem by a system of algebraic equations. Finite difference methods are a versatile tool for scientists and for engineers. This updated book serves university students taking graduate-level coursework in heat transfer, as well as being an important reference for researchers and engineering. Features Provides a self-contained approach in finite difference methods for students and professionals Covers the use of finite difference methods in convective, conductive, and radiative heat transfer Presents numerical solution techniques to elliptic, parabolic, and hyperbolic problems Includes hybrid analytical–numerical approaches
Download or read book Finite Difference Methods in Heat Transfer written by Necati Ozisik and published by CRC Press. This book was released on 1994-04-25 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 Digital Program for Solving the Two dimensional Heat Flow Problem written by Howard M. Bloom and published by . This book was released on 1969 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: A FORTRAN IV program has been written to solve the two-dimensional heat flow problem. The program may contain up to nine regions of heat flow; each may have several types of boundary conditions (isothermal, adiabatic, contact, etc). The initial temperature distribution may be point-by-point, linear, exponential or sinusoidal. The alternating direction implicit method was used to approximate the partial differential equation. The program was designed for use on the IBM 7094 digital computer. (Author).
Download or read book Abstracts of Dissertations Theses and Research Papers Submitted by Candidates for Degrees written by Naval Postgraduate School (U.S.) and published by . This book was released on 1966 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Solution of Partial Differential Equations in Science and Engineering written by Leon Lapidus and published by John Wiley & Sons. This book was released on 1999-07-08 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews of Numerical Solution of Partial Differential Equations in Science and Engineering: "The book by Lapidus and Pinder is a very comprehensive, even exhaustive, survey of the subject . . . [It] is unique in that it covers equally finite difference and finite element methods." Burrelle's "The authors have selected an elementary (but not simplistic) mode of presentation. Many different computational schemes are described in great detail . . . Numerous practical examples and applications are described from beginning to the end, often with calculated results given." Mathematics of Computing "This volume . . . devotes its considerable number of pages to lucid developments of the methods [for solving partial differential equations] . . . the writing is very polished and I found it a pleasure to read!" Mathematics of Computation Of related interest . . . NUMERICAL ANALYSIS FOR APPLIED SCIENCE Myron B. Allen and Eli L. Isaacson. A modern, practical look at numerical analysis, this book guides readers through a broad selection of numerical methods, implementation, and basic theoretical results, with an emphasis on methods used in scientific computation involving differential equations. 1997 (0-471-55266-6) 512 pp. APPLIED MATHEMATICS Second Edition, J. David Logan. Presenting an easily accessible treatment of mathematical methods for scientists and engineers, this acclaimed work covers fluid mechanics and calculus of variations as well as more modern methods-dimensional analysis and scaling, nonlinear wave propagation, bifurcation, and singular perturbation. 1996 (0-471-16513-1) 496 pp.
Download or read book Computational Methods for Heat and Mass Transfer written by Pradip Majumdar and published by Taylor & Francis. This book was released on 2005-09-28 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: The advent of high-speed computers has encouraged a growing demand for newly graduated engineers to possess the basic skills of computational methods for heat and mass transfer and fluid dynamics. Computational fluid dynamics and heat transfer, as well as finite element codes, are standard tools in the computer-aided design and analysis of processe
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book U S Geological Survey Circular written by and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1961 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt: NSA is a comprehensive collection of international nuclear science and technology literature for the period 1948 through 1976, pre-dating the prestigious INIS database, which began in 1970. NSA existed as a printed product (Volumes 1-33) initially, created by DOE's predecessor, the U.S. Atomic Energy Commission (AEC). NSA includes citations to scientific and technical reports from the AEC, the U.S. Energy Research and Development Administration and its contractors, plus other agencies and international organizations, universities, and industrial and research organizations. References to books, conference proceedings, papers, patents, dissertations, engineering drawings, and journal articles from worldwide sources are also included. Abstracts and full text are provided if available.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1985 with total page 1346 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Computational and Information Science written by Jun Zhang and published by Springer. This book was released on 2005-01-18 with total page 1282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 2004 International Symposium on Computational and Information Sciences (CIS 2004) aimed at bringing researchers in the area of computational and - formation sciences together to exchange new ideas and to explore new ground. The goal of the conference was to push the application of modern computing technologies to science, engineering, and information technologies to a new level of sophistication and understanding. Theinitialideatoorganizesuchaconferencewithafocusoncomputationand applicationswasoriginatedbyDr.JunZhang,duringhisvisittoChinainAugust 2003, in consultation with a few friends, including Dr. Jing Liu at the Chinese Academy of Sciences, Dr. Jun-Hai Yong at Tsinghua University, Dr. Geng Yang at Nanjing University of Posts and Communications, and a few others. After severaldiscussionswithDr.Ji-HuanHe,itwasdecidedthatDonghuaUniversity would host CIS 2004. CIS 2004 attempted to distinguish itself from other conferences in its - phasis on participation rather than publication. A submitted paper was only reviewed with the explicit understanding that, if accepted, at least one of the authors would attend and present the paper at the conference. It is our - lief that attending conferences is an important part of one’s academic career, through which academic networks can be built that may bene?t one’s academic life in the long run. We also made every e?ort to support graduate students in attending CIS 2004. In addition to set reduced registration fees for full-time graduate students, we awarded up to three prizes for to the Best Student Papers at CIS 2004. Students whose papers were selected for awards were given cash prizes, plus a waiver of registration fees.
