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

V. R. Voller, J. B. Swenson, W. Kim, C. Paola

Research output: Contribution to conferencePaper

1 Citation (Scopus)

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
Publication statusPublished - 2004 Dec 1
EventEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004 - Jyvaskyla, Finland
Duration: 2004 Jul 242004 Jul 28

Conference

ConferenceEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004
CountryFinland
CityJyvaskyla
Period04/7/2404/7/28

Fingerprint

Moving Boundary Problem
Latent heat
Enthalpy
Melting
Earth (planet)
Topology
Grid
Ocean
Mirror
Analytical Solution
Heat
Configuration
Formulation
Prediction
Term
Model

All Science Journal Classification (ASJC) codes

  • Artificial Intelligence
  • Applied Mathematics

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.
Voller, V. R. ; Swenson, J. B. ; Kim, W. ; Paola, C. / 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.
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Voller, VR, Swenson, JB, 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, 04/7/24 - 04/7/28, .

A fixed-grid method for moving boundary problems on the earths surface. / Voller, V. R.; Swenson, J. B.; Kim, W.; Paola, C.

2004. Paper presented at European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004, Jyvaskyla, Finland.

Research output: Contribution to conferencePaper

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Voller VR, Swenson JB, Kim W, Paola C. A fixed-grid method for moving boundary problems on the earths surface. 2004. Paper presented at European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004, Jyvaskyla, Finland.