A New Alternative Numerical Approach
Applied To Free-moving Boundary Problems
Author(s)
S. G. Ahmed & S. A. Mishref
Abstract
In this paper, the heat conduction problem of a buried pipe due to a sudden
change in the free surface temperature is analyzed. Three main parameters were
analyzed, the depth of the buried pipe, the free surface temperature and the
radius of the pipe. The shape and the movement of the freezing surface is
investigated through new numerical front tracking algorithm and mesh
refinement for the free surface. 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 problem, boundary
element method.
1 Introduction
A moving boundary problem may be defined as a time-dependent boundary
value problem, namely a parabolic partial differential equation with associated
initial and boundary conditions which has to be solved in a time-dependent space
domain with moving boundaries [1]. Problems for which the boundary is not
known in advance and must be determined as a part of the solution are usually
referred to moving boundary problems. If the differential equation is timedependent
then, the free boundary may move as a function of time. Such
problems are known as moving free boundary value problems [2]. The exact
solutions of phase change problems are limited to a few idealized situations
because the interface between the phases is moving as the latent heat is observed
Keywords
phase change, moving boundary, freezing problem, boundary
element method.
Related Book
Other papers in this volume
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