Computation of unsteady viscous flows around moving bodies using the k-ε turbulence model on unstructured dynamic grids

摘要

We consider the numerical solution on unstructured dynamic meshes of the averaged Navier-Stokes equations equipped with the k-ε turbulence model and a wall function. We discuss discretization issues pertaining to conservation laws, moving grids, and nu- merical dissipation. We also present a robust spring analogy method for constructing dynamic meshes. We validate our implemen- tation of this two-equation turbulence model and justify its usage for a class of vortex shedding problems by correlating our computational results with experimental data obtained for a flow past a square cylinder. We also apply our solution methodology to the two-dimensional aerodynamic stability analysis of the Tacoma Narrows Bridge, and report numerical results that are in good agreement with observed data.