Efficient solution algorithms for high-accuracy central difference CFD schemes

Preliminary results are presented from application of implicit integration schemes to high-accuracy CFD methods. High-accuracy refers to spatial discretization methods which are optimized for spectral bandwidth, rather than order of accuracy based on a Taylor’ series expansion. The results show that reductions of more than 90% in computational effort, as measured by CPU time, can be achieved. The reduction is relative to second-order methods for obtaining steady solutions to the same level of accuracy. In addition, a variety of time integration methods have been evaluated for their use in time-accurate and steadystate simulations with the high-accuracy central difference schemes.