Multilevel Adaptive methods for Application to Steady & Time Dependent 3D Reynolds-Average Navier-Stokes Solver

Development of the capability to predict flow fields around naval ships,submarines in particular, both accurately and efficiently is crucial to the Navy in the design of naval ships. State-of-the-art Reynolds-averaged Navier-Stokes solvers are capable of predicting the general flow field a=out an appended submarine , but there are two major shortcomings: the long computing time required and the lack of resolution of the vortical flows generated in junctures and appendage tips of the sulxnarine. The multilevel adaptive method can overcome these two shortcomings by improving the rate of convergence of the solver by an order of magnitude,therefore significantly reducing ccmputing time, and by placing denser grid distributions strategically in regions where the vortical flow dominates, ermbling accurate resolution of the vortical flow. The implementation of the multilevel adaptive methods with an existing 3-D Reynolds-averaged Navier-Stokes solver, such that the vortical flows generated by appended submarines can be both accurately and efficiently predicted, is the main goal of the proposed Phase I project. The improvement and the development of more accurate and efficient numerical schemes is the goal of the Phase II project.