Numerical Method for Time-Dependent Two-Dimensional Viscous Flows : Part2, Extension to Prescribed Pressure at Duct Ends

抄録

In this report, the numerical method to solve the problem of time-dependent two-dimensional laminar flows which was proposed in Part 1 is modified from some practical points of view. First, the previous method using a square grid is extend to use a nonuniform rectangular grid with the aim of saving the computer time. Next, an iterative method is developed in order to solve the problems of prescribing the flow rate through the duct for which explanation is given on some cases. Finally, some numerical examples are demonstrated. In these example are briefly discussed the instability of the solutions at high Reynolds number and its location, the dependence on interpolation formula and on mesh size.