Structural modeling

(Difference between revisions)
 Revision as of 22:00, 24 June 2013 (view source)Media777 (Talk | contribs)← Older edit Revision as of 22:06, 24 June 2013 (view source)Media777 (Talk | contribs) Newer edit → Line 2: Line 2: :$:[itex] - \tau_{ij} = \widetilde{\bar{u}_i} \widetilde{\bar{u}_j} - \widetilde{\bar{u}_i \bar{u}_j} + \tau_{ij} = L_{ij} = \widetilde{\bar{u}_i} \widetilde{\bar{u}_j} - \widetilde{\bar{u}_i \bar{u}_j}$ [/itex] Line 9: Line 9: :$:[itex] - \tau_{ij} = \frac{\Delta^2}{12} \frac{\partial \bar{u}_i}{\partial x_{k}} \frac{\partial \bar{u}_j}{\partial x_{k}} + \tau_{ij} = G_{ij} = \frac{\Delta^2}{12} \frac{\partial \bar{u}_i}{\partial x_{k}} \frac{\partial \bar{u}_j}{\partial x_{k}} +$ + + Mixed models, which are based on linear combinations of the eddy-viscosity and structural types + + :$+ \tau_{ij} = G_{ij}-2\nu_{sgs} S_{ij} +$ + or + :$+ \tau_{ij} = L_{ij}-2\nu_{sgs} S_{ij}$ [/itex]

Revision as of 22:06, 24 June 2013

Those that use the physical hypothesis of scale similarity

$\tau_{ij} = L_{ij} = \widetilde{\bar{u}_i} \widetilde{\bar{u}_j} - \widetilde{\bar{u}_i \bar{u}_j}$

Those derived by formal series expansions

$\tau_{ij} = G_{ij} = \frac{\Delta^2}{12} \frac{\partial \bar{u}_i}{\partial x_{k}} \frac{\partial \bar{u}_j}{\partial x_{k}}$

Mixed models, which are based on linear combinations of the eddy-viscosity and structural types

$\tau_{ij} = G_{ij}-2\nu_{sgs} S_{ij}$

or

$\tau_{ij} = L_{ij}-2\nu_{sgs} S_{ij}$