Computation of unsteady viscous flows around moving bodies using the k–ε turbulence model on unstructured dynamic grids Original Research Article

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 numerical dissipation. We also present a robust spring analogy method for constructing dynamic meshes. We validate our implementation 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.