Numerical Method for Time-Dependent Two-Dimensional Viscous Flows : Part 3, Application to the Moving Boundary Walls

Abstract

The numerical methods for the solution of unsteady two-dimensional laminar flows proposed in the previous papers are extended to the flow problems in which the flow field geometry is deformed due to the displacement of some boundary walls. For the nonuniform rectangular grid varying with time, the finite-difference equations and the boundary condition formulas are derived, and the computational procedures are shown. As numerical examples, the nozzle flow characteristics with a moving flapper are determined for the prescribed inlet total pressure and the exit static pressure, and some numerical treatments are discussed.