Towards Efficient Viscous Modeling Based on Cartesian Methods for Automated Flow Simulation

The proposed work aims at developing techniques that will address the current limitations of Cartesian-based Navier-Stokes CFD schemes by exploring three promising methods of implementing improved wall boundary conditions. The three methods are based on: (1) the diamond stencil approach of Delanaye et al., (2) the extrapolation boundary condition work by Marshall and Ruffin, and (3) the Material Point Method developed by Advanced Dynamics. The knowledge gained from prototype implementations of these schemes will lead to the development of an efficient viscous modeling algorithm suitable to general Cartesian CFD codes at the end of Phase I. Phase II will integrate this algorithm into a large-scale Cartesian CFD code in consultation with NASA technical representative. Phase III will commercialize the resulting techniques to be developed in Phases I and II and demonstrate their applicability to a wide range of problems.