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Shape optimization using parameter-survey-type parallel adjoint variable method

Shinohara, Kazunori; Okuda, Hiroshi*; Nakajima, Norihiro  ; Ida, Masato

To obtain optimal designed shape effectively, the 3D shape optimization system of adjoint variable method is developed. The adjoint valiable method is based on the Lagrange multiplier method (a conditional variational principle), and consists of the state equation, the adjoint equation and the sensitivity equation. The equations for decreasing the fluid drag of surface under a constant volume condition are formulated. To solve the equations effectively, the compressed-matrix storage mode and the data passing system are implemented by using HPCMW. By using the 3D shape optimization system, the surface force of shape can be reduced about 24%.

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