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TWiki> Main Web>TWikiUsers>RuggeroPoletto>YearTwoRP>AlternativeShapeFunction (2010-09-20, RuggeroPoletto)

TWiki> Main Web>TWikiUsers>RuggeroPoletto>YearTwoRP>AlternativeShapeFunction (2010-09-20, RuggeroPoletto)

From the final version of the DF-SEM it is possible to obtain the equations the Shape function has to satisfy in order to produce a DF method which is able to reproduce all the States of turbulence!!

(1) |

Assuming the method uses several shape functions, a different one in each direction (, and ), it is possible, defining and , to write down the system which defines the shape functions:

(2) |

In case and is function of the only distance , since , the system (2) is verified for every !!

Process:

- define q_x
- use system (2) to find q_y and q_z

It is important to stress out that the shape functions must always respect these conditions:

- approach zero at leas as fast as
- possibly if

##################

Equation from system:

TO BE DONE:

verify the new Reynolds stresses since they are dependent on , the new shape functions with different components in x, y and z may positively affect them and let us reproduce every kind of turbulence!

I | Attachment | Action | Size | Date | Who | Comment |
---|---|---|---|---|---|---|

png | q_sigma.png | manage | 121.4 K | 2010-09-20 - 11:14 | RuggeroPoletto |

Topic revision: r5 - 2010-09-20 - 11:14:35 - RuggeroPoletto

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