Category 1 Benchmark Solutions Using FDL2DI

Solutions to selected Category 1 methodology benchmark problems are investigated using computational techniques implemented into FDL2DI, a general purpose CFD code developed by the Air Force Research Laboratory's Computational Science branch. The code utilizes sixth-order compact difference operators for spatial discretization and a low-storage implementation of the classical fourth-order Runge-Kutta technique for temporal integration. An implicit high-order filter is available for the removal of high frequency signal content that may be unresolved by the computational grid or spurious wave content that may be generated in regions of sharp gradients, such as wall boundaries. The filter also plays a critical role in implementation of non-reflecting boundary conditions, which uses grid-stretching to transfer energy of the outgoing wave content into increasingly higher wavenumber spectrum, and then annihilating the poorly resolved wave content via the low pass filter. Solutions to the aliasing and y-periodic non-reflecting boundary condition problems of Category 1 are presented.