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

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

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 conference › Paper › peer-review

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
Publication status	Published - 2004
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
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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title = "A fixed-grid method for moving boundary problems on the earths surface",

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.",

author = "Voller, {V. R.} and Swenson, {J. B.} and W. Kim and C. Paola",

note = "Copyright: Copyright 2014 Elsevier B.V., All rights reserved.; European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004 ; Conference date: 24-07-2004 Through 28-07-2004",

year = "2004",

language = "English",

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TY - CONF

T1 - A fixed-grid method for moving boundary problems on the earths surface

AU - Voller, V. R.

AU - Swenson, J. B.

AU - Kim, W.

AU - Paola, C.

PY - 2004

Y1 - 2004

N2 - 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.

AB - 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.

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