Adjoint parameter sensitivity analysis for the hydrodynamic lattice Boltzmann method with applications to design optimization

摘要: Abstract We present an adjoint parameter sensitivity analysis formulation and solution strategy for the lattice Boltzmann method (LBM). The focus is on design optimization applications, in particular topology optimization. briefly described with in-depth discussion of solid boundary conditions. show that a porosity model ideally suited purposes models no-slip conditions sufficient accuracy when compared to interpolation bounce-back Augmenting porous condition shaping factor, we define generalized geometry derive corresponding single relaxation LBM both shape applications. Using numerical examples, verify analytical through comparison finite differences. In addition, fluidic scaled volume constraint should be used obtain desired “0-1” optimal solutions.