Numerical computations of cavity flow problems by a pressure stabilized characteristic-curve finite element scheme

Abstract

We apply a newly developed characteristic-curve finite element scheme to cavity flow problems. The scheme is useful for large scale computation, because P1/P1 element is employed and the matrix of resulting linear system is symmetric. Numerical results of two- and three-dimensional cavity flow problems are presented. Three types of the Dirichlet boundary condition, discontinuous, C⁰ and C¹ continuous ones, are treated, and the difference of the solutions is discussed.