Numerical simulation of heat and mass transfer combined with phase transition in geodynamics (Q1975802)
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scientific article; zbMATH DE number 1438803
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical simulation of heat and mass transfer combined with phase transition in geodynamics |
scientific article; zbMATH DE number 1438803 |
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Numerical simulation of heat and mass transfer combined with phase transition in geodynamics (English)
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8 May 2000
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The authors consider the mathematical model of interaction between thermal-convection flows in the Earth's mantle and the continental lithosphere that takes into account phase transition and includes the Navier-Stokes equations written in the Boussinesq approximation for the moving liquid phase, the heat equation for the region that represents the solid-phase lithosphere, and Stefan-type boundary conditions on the phase-transition front. The problem is solved numerically by using finite-difference schemes based on the method of supplementary domains. Computations of the testing and realistic variants of the problem are described.
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mathematical model
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interaction between thermal-convection flows
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Earth's mantle
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continental lithosphere
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Navier-Stokes equations
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Boussinesq approximation
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moving liquid phase
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heat equation
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solid-phase lithosphere
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Stefan-type boundary conditions
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phase-transition front
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finite-difference schemes
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thermal erosion
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thinning
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