High order scheme for thermally driven flows in an open channel (Q1129619)
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scientific article; zbMATH DE number 1192830
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | High order scheme for thermally driven flows in an open channel |
scientific article; zbMATH DE number 1192830 |
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High order scheme for thermally driven flows in an open channel (English)
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20 August 1998
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We present a high order numerical scheme for solving thermally driven flows in an open duct. More precisely, we study flows at large Rayleigh number and large aspect ratio of channel (length\(\gg\)spacing). For such flows we propose an appropriate set of boundary conditions and implement Chebyshev collocation method in the direction transverse to the flow and fourth order finite difference scheme in the streamwise direction, i.e. parallel to the vertical plates. The accuracy is checked vs an elliptic problem and with respect to the thermally driven cavity.
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large Rayleigh number
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boundary conditions
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Chebyshev collocation method
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fourth order finite difference scheme
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elliptic problem
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thermally driven cavity
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