### Abstract

A design method for shape optimization in incompressible turbulent viscous flow has been developed and validated for inverse design. The gradient information is determined using a control-theory based algorithm. With such an approach, the cost of computing the gmdient is negligible. An additional adjoint system must be solved which requires the cost of a single steady state flow solution. Thus, this method has an enormom advantage over traditional finite-difference based algorithms- The method of artificial compressibility is utilized to solve both the flow and adjoint systems. An algebraic turbulence model is used to compute the eddy viscosity. The method is validated using several inverse wing design test cases. In each case, the program must modify the shape of initial tump such that its pressure distribution matches that of the target wing. Results are shown for the inversion of both finite thickness wings as well as zero thickness wings which can can be considered a model of yacht sails.

Original language | English (US) |
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State | Published - Dec 1 2000 |

Event | Fluids 2000 Conference and Exhibit - Denver, CO, United States Duration: Jun 19 2000 → Jun 22 2000 |

### Other

Other | Fluids 2000 Conference and Exhibit |
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Country | United States |

City | Denver, CO |

Period | 6/19/00 → 6/22/00 |

### All Science Journal Classification (ASJC) codes

- Fluid Flow and Transfer Processes
- Energy Engineering and Power Technology
- Aerospace Engineering
- Mechanical Engineering

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## Cite this

*A control-theory based method for shape design in incompressible viscous flow using RANS*. Paper presented at Fluids 2000 Conference and Exhibit, Denver, CO, United States.