Optimization of Hydraulic Machinery Bladings by Multilevel CFD Techniques

  • Thum S
  • Schilling R
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Abstract

The numerical design optimization for complex hydraulic machinery bladings requires a high number of design parameters and the use of a precise CFD solver yielding high computational costs. To reduce the CPU time needed, a multilevel CFD method has been developed. First of all, the 3D blade geometry is parametrized by means of a geometric design tool to reduce the number of design parameters. To keep geometric accuracy, a special B-spline modification technique has been developed. On the first optimization level, a quasi-3D Euler code (EQ3D) is applied. To guarantee a sufficiently accurate result, the code is calibrated by a Navier-Stokes recalculation of the initial design and can be recalibrated after a number of optimization steps by another Navier-Stokes computation. After having got a convergent solution, the optimization process is repeated on the second level using a full 3D Euler code yielding a more accurate flow prediction. Finally, a 3D Navier-Stokes code is applied on the third level to search for the optimum optimorum by means of a fine-tuning of the geometrical parameters. To show the potential of the developed optimization system, the runner blading of a water turbine having a specific speed nq=41 1/min was optimized applying the multilevel approach.

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Thum, S., & Schilling, R. (2005). Optimization of Hydraulic Machinery Bladings by Multilevel CFD Techniques. International Journal of Rotating Machinery, 2005(2), 161–167. https://doi.org/10.1155/ijrm.2005.161

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