Calculation on non-orthogonal curvelinear structured grids, finite-volume method
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U = \overline{u} \frac{\partial y}{\partial \eta} - \overline{v} \frac{\partial x}{\partial \eta} | U = \overline{u} \frac{\partial y}{\partial \eta} - \overline{v} \frac{\partial x}{\partial \eta} | ||
</math> | </math> | ||
- | </td><td width="5%">( | + | </td><td width="5%">(3)</td></tr></table> |
+ | |||
+ | <table width="70%"><tr><td> | ||
+ | :<math> | ||
+ | V = \overline{v} \frac{\partial x}{ \partial \xi} - \overline{u} \frac{\partial y}{ \partial \xi} | ||
+ | </math> | ||
+ | </td><td width="5%">(4)</td></tr></table> |
Revision as of 04:13, 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) |