| 5.1 – CDS (Central Difference Scheme) | ||||
This scheme generates a linear interpolation to the problem boundary. Assuming that the faces of our elemental volume are placed in the mean distance between nodal points, it follows that: |
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(5.1.1a) |
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(5.1.1b) |
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| And also: | ||||
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(5.1.2.a) |
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(5.1.2.b) |
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Comparing (5.1.1) and (5.1.2) to (4.6) and (4.7), repectively, we have: |
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(5.1.3.a) |
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| And, | ||
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(5.1.3.b) | |
And the subscript i simbolizes the faces which are being interpolated. NOTICE: Non-realistic solutions are generated when CDS is used in dominant convection problems. These approximation errors occur because CDS is a non-dissipative scheme. |
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