Analysis of partially cavitating hydrofoils under the free surface using BEM-based adjoint optimization

A BEM broadband topology optimization strategy based on Taylor expansion and SOAR method—Application to 2D acoustic scattering problems

“…[19][20][21] Similarly, the BEM is used in many situations. [22][23][24][25][26] The traditional topology optimization finds the optimal solution at a specific frequency, and thus the results may not work for another frequency. To this end, broadband optimization was proposed to obtain the global optimal solution that works for a wide range of frequency.…”

“…Compared with the traditional finite element method (FEM) commonly used in topology optimization, the boundary element method (BEM) seems to be more favorable when optimizing the distribution of sound‐absorbing materials in the exterior sound field, 15‐18 since only the boundaries need to be discretized and the Sommerfeld boundary condition is automatically satisfied 19‐21 . Similarly, the BEM is used in many situations 22‐26 . The traditional topology optimization finds the optimal solution at a specific frequency, and thus the results may not work for another frequency.…”

Cavitating and Non-cavitating Lumped Vortex Element under a Free Surface

“…Later, the iterative method was modified and extended for surface piercing hydrofoils and ships [14,15]. A novel adjoint optimization method that has been based on a boundary element technique, was proposed for the analysis of partially cavitating hydrofoils moving with a constant speed beneath the free surface [16]. In a very new study, the effects of free surface on the flow field around a line sink has been computed analytically for small Froude numbers and numerically for nonlinear problem [17].…”