INVESTIGADORES
STORTI Mario Alberto
artículos
Título:
Numerical implementation of a discontinuous finite element for phase change problems
Autor/es:
STORTI MARIO; CRIVELLI, LUIS; IDELSOHN, SERGIO
Revista:
ADVANCES IN ENGINEERING SOFTWARE
Editorial:
Elsevier
Referencias:
Lugar: Amsterdam, Holanda; Año: 1987 vol. 9 p. 66 - 73
ISSN:
0965-9978
Resumen:
This paper is devoted to the numerical solution of phase-change
problems in two dimensions. The technique of finite elements is
employed. The discretization is carried out using linear isoparametric
elements and special attention is given to the accurate integration of
functions presenting discontinuities at arbitrarily curved interfaces.
This type of function arises in a natural way when dealing with
phase-change problems because the enthalpy attains a discontinuity at
the phase change temperature. To integrate the discontinuous functions
in the phase-changing elements a second mapping is performed from the
master element onto a new one for which the interface iis a straight
line. The integrals are calculated using the Gaussian technique applied
to each part of the divided element, which may be triangular or
quadrilateral. The discontinuous integration technique improves the
behaviour of the numerical method avoiding any possible loss of latent
heat due to an inaccurate evaluation of the residual vector. Some
important aspects of the solution of the nonlinear system of equations
are discussed and several numerical examples are presented together
with the details of the computational implementation of the algorithm.