INVESTIGADORES
STORTI Mario Alberto
artículos
Título:
An efficient tangent scheme for phase change problems
Autor/es:
STORTI MARIO; CRIVELLI, LUIS; IDELSOHN, SERGIO
Revista:
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Editorial:
Elsevier
Referencias:
Lugar: Amsterdam, Holanda; Año: 1988 vol. 66 p. 65 - 86
ISSN:
0045-7825
Resumen:
Using weak formulations and finite elements to solve heat-conduction
problems with phase change finally leads to the solution, at each time
step, of a nonlinear system of equations in the nodal temperatures. The
Newton-Raphson scheme is an effective procedure to cope with this type
of problems; however, the choice of a good approximation to the tangent
matrix is critical when the latent heat is comparatively large. In this
work we derive an exact expression for the tangent matrix and analyze
the behavior of its terms for different values of the physical
parameters of the system. We demonstrate that this method has good
convergence properties. In fact, the rate of convergence is quadratic
when the trial approximation is sufficiently close to the solution.
Finally, several numerical examples are given.