Author(s)

V.R. Voller & J.B. Swenson

Abstract

The basic melting Stefan problem is described and available solution methods outlined. Free and moving boundary problems in geophysical systems (a fluvio- deltatic basin modeling and saturated porous media) are introduced. It is shown that these problems are analogous to various limit cases of the melting Stefan problem. 1 Introduction Free and moving boundary problems (FMBP's) can be defined as field problems in which the location of one or more of the domain boundaries is unknown. A classical FMBP is the melting/solidification of a pure material, the Stefan problem, the solution of which requires the tracking of the moving melting front. Much research effort has been directed at developing solution approaches for this class of problems*. FMBP's, however, occur in a wide variety of engineer

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