Fluid Analysis for Incompressible Viscose Flow Based on FEM Using Fictitious Domain Method - Introduction of Methodology of Formulation and Fluid Analysis around Circular Cylinder -

In this study, we present some remarks on the results obtained by the FEM using the fictitious domain method by comparing to the results obtained by the conventional FEM. As the numerical experiment, flow analysis around circular cylinder is carried out. In the fictitious domain method, the state equation is formulated by the Lagrange multiplier method, and two meshes, i.e., foreground and background meshes, are employed. The incompressible Navier-Stokes equation is employed as the state equation. In addition, the fractional method is applied to calculate the state equation, and pressure and velocity fields are independently solved. The bubble function and the linear triangular elements are applied to interpolate velocity and pressure fields, respectively