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 language | English |
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| Publication status | Published - 2004 Dec 1 |
| Event | European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004 - Jyvaskyla, Finland Duration: 2004 Jul 24 → 2004 Jul 28 |
Conference
| Conference | European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004 |
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| Country | Finland |
| City | Jyvaskyla |
| Period | 04/7/24 → 04/7/28 |
All Science Journal Classification (ASJC) codes
- Artificial Intelligence
- Applied Mathematics
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Cite this
Voller, V. R., Swenson, J. B., Kim, W., & Paola, C. (2004). A fixed-grid method for moving boundary problems on the earths surface. Paper presented at European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004, Jyvaskyla, Finland.