Shape optimization for Navier-Stokes equations with algebraic turbulence model: numerical analysis and computation

Abstract

The paper deals with an approximation of an optimal shape design problem governed by Navier-Stokes equations with algebraic turbulence model. The state equation is discretized by a mixed finite element method.

Convergence properties of the discrete models are established.

Keywords

• shape optimization
• Navier-Stokes equations
• algebraic turbulence model