Application of Lattice Boltzmann Method to sensitivity analysis via complex differentiation

Abstract

International audienceSensitivity analysis of flows computed by Lattice Boltzmann Method via Complex Differentiation is proposed. The theoretical work is illustrated and the proposed method assessed considering the D2Q9 scheme, along with the differentiation of the Lattice Boltzmann Equation. Boundary condition implementation is also detailed. Some examples illustrate the capability of the proposed method