Application of Lattice Boltzmann Method to sensitivity analysis via complex differentiation

E. Vergnault (1) , P. Sagaut (2)

1 CETHIL - Centre d'Energétique et de Thermique de Lyon
2 DALEMBERT - Institut Jean Le Rond d'Alembert

Sensitivity 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.

Mots clés: Lattice Boltzmann Equation; Complex differentiation; Sensitivity analysis

Domaines: Mécanique des fluides [physics.class-ph]

E. Vergnault, P. Sagaut. Application of Lattice Boltzmann Method to sensitivity analysis via complex differentiation. Journal of Computational Physics, 2011, 230 (13), pp.5417-5429. ⟨10.1016/j.jcp.2011.03.044⟩. ⟨hal-01298908⟩