流体音響問題を対象とした格子ボルツマン方程式に基づく随伴感度解析法

抄録

An adjoint sensitivity analysis method based on the lattice Boltzmann equation was developed for flow-induced sound problems. In this method, flow and acoustic fields around complex geometries are directly simulated using the lattice Boltzmann method (LBM) with the interpolated bounce-back (IBB) condition. To efficiently evaluate sensitivities of numerous design variables for flow-induced sounds, adjoint equations for the LBM with the IBB condition was formulated. These adjoint equations can be easily computed, similar to the LBM. This method was validated through a minimization problem of the Aeolian tone generated from a bluff body in uniform flow. Consequently, sensitivities evaluated by the adjoint method agreed well with those evaluated by the finite difference method. The results suggest that the proposed method is useful for shape optimizations intended to reduce flow-induced sounds.