Finite difference methods for 3D viscous incompressible flows in the vorticity-vector potential formulation on nonstaggered grids

摘要

Simple, efficient, and accurate finite difference method are introduced for 3D unsteady viscous incompressible flows in the vorticity-vector potential formulation on nonstaggered grids. Two different types of methods are dis- cussed. They differ in the implementation of the normal component of the vorticity boundary condition and consequently the enforcement of the diver- gence free condition for vorticity. Both second-order and fourht-order accu- rate schemes are developed.