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Friday, July 31, 2020 | History

3 edition of Numerical Methods for Moving Boundaries & Phase Change Problems found in the catalog.

Numerical Methods for Moving Boundaries & Phase Change Problems

Vaughan Voller

Numerical Methods for Moving Boundaries & Phase Change Problems

by Vaughan Voller

  • 304 Want to read
  • 1 Currently reading

Published by John Wiley & Sons .
Written in English

    Subjects:
  • Mechanical Engineering & Materials,
  • Technology,
  • Science,
  • Science/Mathematics,
  • Mechanics - General,
  • Science / Mechanics,
  • Engineering - Mechanical

  • The Physical Object
    FormatHardcover
    Number of Pages384
    ID Numbers
    Open LibraryOL10296440M
    ISBN 100470848243
    ISBN 109780470848241
    OCLC/WorldCa58999079

    () A moving mesh finite element algorithm for fluid flow problems with moving boundaries. International Journal for Numerical Methods in Fluids , () Generation of Arbitrary Lagrangian-Eulerian (ALE) velocities, based on monitor functions, for the solution of compressible fluid by: The boundary element method is used as a numerical tool in the analysis. Results show a good agreement with the physical behavior of the problem, especially as no analytical solution is available for such a problem. Keywords: phase change, moving boundary, freezing Cited by: 1.

    We provide an overview of the finite element methods we developed in recent years for computation of fluid dynamics problems with moving boundaries and interfaces. This class of problems include those with free surfaces, two‐fluid interfaces, fluid–object and fluid–structure interactions, and moving mechanical by: COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus.

    Numerical methods in heat transfer. [R W Lewis; K Morgan; O C Zienkiewicz;] --How to deal with moving boundaries in thermal problems / J. Crank --Multidimensional integral phase change approximations for finite element conduction codes / E.C. Lemmon --A . K. Tsiveriotis and R. A. Brown, Solution of free‐boundary problems using finite‐element/Newton methods and locally refined grids: Application to analysis of solidification microstructure, International Journal for Numerical Methods in Fluids, 16, 9, (), ().


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Numerical Methods for Moving Boundaries & Phase Change Problems by Vaughan Voller Download PDF EPUB FB2

A numerical method for phase-change problems Abstract-A highly accurate and efficient finite-difference method for phase-change problems with multiple moving boundaries of irregular shape is developed by employing a coordinate transformation that immo- the difficulties in handling moving boundaries.

Of the numerical methods, coordinate. This paper summarizes the state of the art of the numerical solution of phase-change problems. After describing the governing equations, a review of the existing methods is presented.

The emphasis is put mainly on fixed domain techniques, but a brief description of the main front-tracking methods is included. A special section is devoted to the Newton-Raphson resolution with quadratic Cited by: A three-time level implicit scheme, which is unconditionally stable and convergent, is employed for the numerical solution of phase-change problems, Numerical Methods for Moving Boundaries & Phase Change Problems book the basis of an analytical approach consisting in the approximation of the latent heat effect by a large heat capacity over a small temperature by: Different numerical schemes can be found in the literature for dealing with solid/liquid phase change problems, mainly moving mesh or front tracking methods and fixed mesh methods [1].

In this. Attention is given to a boundary solution approach for the dynamic problem of thermoviscoelasticity theory, thermal and stress analysis of composite nuclear fuel rods by numerical methods, approaches for dealing with moving boundaries in thermal problems, multidimensional integral phase change approximations for finite element conduction codes Cited by: "The book succeeds in its aim of presenting a broad but detailed account of mathematical and numerical methods for free-and moving-boundary problems that will be accessible to researchers both in the applied sciences and in applied mathematics." --SIAM Review "Clearly and logically presented with good diagrams and an excellent printing format."Cited by: 1.

Introduction. Phase change problems can be modeled as moving boundary problems. These problems can be defined as a set of partial differential equations that are to be solved for a domain whose boundaries are not known a priori but have to be determined as an integral part of the solution.

The determination of the moving boundary is the major part in the required solution from theoretical Cited by: 7.

whatever field you are in, if you want to do some numerical computation, then buy this book. it is the best book on boundary value problems which is an important part in numerical computation, and of course, it is the more difficult part, compared to tht IVP/5(3).

The major difficulty in solving the phase change problems is caused by the presence of a moving boundary. This makes it difficult to find an analytical solution, except for very simple problems.

The enthalpy method for heat transfer with change of phase and some numerical experiments with the phase function extension of the enthalpy formulation are discussed.

Then the method of lines front tracking algorithm is described which solves multi-dimensional time dependent free boundary problems as a sequence of time implicit one dimensional Cited by: 4.

Elementary yet rigorous, this concise treatment explores practical numerical methods for solving very general two-point boundary-value problems.

The approach is directed toward students with a knowledge of advanced calculus and basic numerical analysis as well as some background in ordinary differential equations and linear : Dover Publications. Carlo step become negative (Schmidt and Kalos, ; Loh et al., ).

In some algorithms, approximate procedures allow useful calculations to be performed; in others, the sign problem is so bad that the study of the models believed to be basic for understanding the materials, such as high-temperature superconductors, are essentially prohibited. A numerical algorithm to solve melting/solidification problems involving convection effects is developed in the work.

The algorithm is based on a fixed grid technique applied to the fluid flow equations in the primitive variables formulation and the temperature formulation. () The Numerical Solution of One-Dimensional Phase Change Problems Using an Adaptive Moving Mesh Method.

Journal of Computational Physics() Ice formation around isothermal radial finned by: @article{osti_, title = {A numerical analysis of phase-change problems including natural convection}, author = {Cao, Y and Faghri, A}, abstractNote = {Fixed grid solutions for phase-change problems remove the need to satisfy conditions at the phase-change front and can be easily extended to multidimensional problems.

The two most important and widely used methods are enthalpy methods. About 80 participants from 16 countries attended the Conference on Numerical Methods for Free Boundary Problems, held at the University of Jyviiskylii, Finland, JulyThe main purpose of this conference was to provide up-to-date information on important directions of research in theBrand: Birkhäuser Basel.

; "A concise, elementary yet rigorous account of practical numerical methods for solving very general two-point boundary-value problems. Directed to students with a knowledge of advanced calculus and basic numerical analysis, and some background in ordinary differential equations and linear algebra.

Presents developments in computational techniques pertaining to moving boundary problems in fluid dynamics. It describes several computational techniques which can be applied to a variety of problems in thermo-fluid physics, multi-phase flow, and applied mechanics which involve moving flow boundaries.

The book demonstrates the application of a variety of techniques for the numerical solution. @article{osti_, title = {Numerical methods for viscous flows with moving boundaries}, author = {Floryan, J M and Rasmussen, H}, abstractNote = {A review of numerical algorithms for the analysis of viscous flows with moving interfaces is presented.

The review is supplemented with a discussion of methods that have been introduced in the context of other classes of free boundary problems. methods in accordance with the numerical approach. The phase change phenomenon has to be modelled separately due the non-linear nature of the problem.

A wide range of different kinds of numerical methods for solving PCM problems exist. The most common methods used are the enthalpy method and the effective heat capacity method. The interdisciplinary nature of the problems is shown in the diversity of the physical models and numerical methods described and the papers featured are divided under the following headings: Phase Change; Free Surface Flow; Numerical Methods; Special Interface Problems; Fracture and Contact Problems.Numerical Methods for Free and Moving Boundary Problems References.

By V.R. Voller and Colleagues, SAFL, Civil Engineering, University of Minnesota Journals. V.R. Voller, "Estimating the Last Point to Solidify in a Casting." Numerical Heat Transfer, 33,  Finite element methods for approximating partial differential equations that arise in science and engineering analysis find widespread application.

Numerical analysis tools make the solutions of coupled physics, mechanics, chemistry, and even biology accessible to the novice modeler. Nevertheless, modelers must be aware of the limitations and difficulties in developing numerical .