Application of Optimization Technique to Solution of Incompressible Navier-Stokes Equation

摘要

We introduce the concept of optimization to computational method of incompressible flows based on the formal correspondence of incompressible Navier-Stokes equation in rotational form and continuity equation to state and output equations of dynamical system. The total pressure field is, then, determined as the result of error minimization of continuity equation and no boundary condition for total pressure is necessary in the case of computational grid system in which no pressure value is defined on the boundary grid. A computational method based on the optimization concept is formulated and applied to plane Poiseuille flow and twodimensional driven cavity flow problems. The computational results show the effectiveness of this computational method.