A fixed-grid method for moving boundary problems on the earths surface

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Abstract

A model for tracking a shoreline in a subsiding ocean basin is introduced, a problem that can be posed as a generalized Stefan melting problem where the latent heat term is a function of space and time. An enthalpy-like formulation for the shoreline problem is constructed and a fixe-grid solution is developed and verified by comparison to an available analytical solution. The advantage of the fixed-grid is exploited by tracking a two-dimensional shoreline advancing into an ocean basin. Predictions show that features in the moving shoreline reach a stable configuration that mirrors the nature of the imposed basement topology.

Original languageEnglish (US)
StatePublished - Dec 1 2004
EventEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004 - Jyvaskyla, Finland
Duration: Jul 24 2004Jul 28 2004

Other

OtherEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004
CountryFinland
CityJyvaskyla
Period7/24/047/28/04

Keywords

  • Enthalpy method
  • Fixed-grid
  • Sediment transport
  • Stefan problem
  • Tectonic subsidence

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