A Numerical Method for Flow in a Two-Dimensional Channel of Large Aspect Ratio
摘要
A new numerical method which is suitable for calculations of incompressible fluid flow with high aspect ratio such as a blood vessel or a river flow is presented. The flow variables are expressed as sum of those of the main flow and its variations. The former is obtained by solving one-dimensional equation analytically. Coupling of two-directional main flow equations enables a long duct of large curvature to be solved using Cartesian coordinate system. Two-dimensional flows in a long duct inclined at varying angles are performed to study the effectiveness of the present method. Furthermore, a flow in an orthogonal channel using two sub-domain grids is examined. These results indicate that the present method is effective in conservation of mass of fluid in a long region that is very difficult to satisfy the equation of continuity by other method such as the standard MAC method.