Calculation on non-orthogonal curvelinear structured grids, finite-volume method
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</td><td width="5%">(6)</td></tr></table> | </td><td width="5%">(6)</td></tr></table> | ||
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+ | \beta = \frac{\partial x}{ \partial \xi} \frac{\partial x}{ \partial \eta} + \frac{\partial y}{ \partial \xi} \frac{\partial y}{ \partial \eta} | ||
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+ | </td><td width="5%">(7)</td></tr></table> |
Revision as of 07:04, 18 August 2010
2D case
For calculations in complex geometries boundary-fitted non-orthogonal curvlinear grids is usually used.
General transport equation is transformed from the physical domain into the computational domain as the following equation
| (2) |
where
| (3) |
| (4) |
| (5) |
| (6) |
| (7) |