Author(s)

D. Kawakami, V. R. Voller & C. Paola

Abstract

Moving boundary problems in earth-surface dynamics D. Kawakami, V. R. Voller & C. Paola NSF, National Center for Earth-su$ace Dynamics, University of Minnesota, USA Abstract This paper illustrates a novel two-dimensional moving boundary problem describing the evolution of a sediment fan in a closed depositional basin. This problem is analogous to a point source melting problem with zero latent heat and a space dependent melting temperature. A simple time explicit numerical solution scheme is developed. The performance of the solution is checked against measurements taken from a sediment fan build in a laboratory scale experiment. Results indicate that the proposed model has promise but further work is required to characterize the nature of the sediment diffusion. 1 Introduction The movement of sediment in natural systems occurs across many separate environments and the interfaces between the environments move in response to a local balance of sediment fluxes. In fluivial environments the move

Keywords