EFFICIENCY OF GEOMETRIC MULTIGRID METHODS FOR SOLVING THE SENSITIVITY EQUATIONS WITHIN GRADIENT BASED FLOW OPTIMIZATION PROBLEMS

摘要: ow optimization, nite-volume method, shape optimization Abstract. This paper presents a geometric multigrid approach for solving the sensitivity equations derived by dierentiating Navier-Stokes with respect to control pa- rameters. The considered variables can be arbitrary parameters like inow velocity or points of boundary surface represented NURBS. SIMPLE method an embedded SIP solver (ILU) is employed as smoother in framework V-cycles. examined computational costs generic test cases, i.e., channel over bump variable inlet and parameter controlled NURBS surface.