Characteristic finite difference methods for moving boundary value problem of numerical simulation of oil deposit (Q1344602)
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scientific article; zbMATH DE number 722362
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characteristic finite difference methods for moving boundary value problem of numerical simulation of oil deposit |
scientific article; zbMATH DE number 722362 |
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Characteristic finite difference methods for moving boundary value problem of numerical simulation of oil deposit (English)
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13 July 1995
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A model for 2-phase immiscible flow in a porous medium is treated, numerical approximations by characteristic finite difference methods being studied. The mathematical model is a system of nonlinear partial differential equations with an expanding (a priori known) moving boundary. An optimal error estimate in the sense of the \(l_ 2\) norm is deduced. It is claimed that implementation was successful, although no numerical data are presented.
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2-phase immiscible flow
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porous medium
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characteristic finite difference methods
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moving boundary
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error estimate
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