A fractional step method for incompressible viscous flow based on bubble function element stabilization method

摘要

A fractional step method to velocity and pressure in accordance with simplified marker and cell (SMAC) method is employed in this paper. A relationship between the bubble function element stabilization method and the stabilized finite element method is shown. A two-level three-level formulation with bubble function, bubble function element stabilization method, is proposed for incompressible viscous flow. The two-level three-level formulation with the bubble function possesses better stability than the Bubnov-Galerkin formulation with the bubble function.