Development of a High-Resolution Time Conservative Finite Volume Method for Large Eddy Simulation

high-resolution time conservative two dimensional flow solver has been developed and validated for inviscid and viscous flows. The method is based on a multiblock structured grid. The space-time conservation element and solution element discretization scheme, second-order in space and time, is employed. Several cases with a wide range of flow conditions have been computed to verify the accuracy of method and demonstrate its effectiveness. An unsteady Euler solution is obtained for a forward facing step to demonstrate the shock capturing capability of the numerical scheme. The Navier-Stokes solver is validated with a cavity flow benchmark problem and the solution of the Navier-Stokes equations is accelerated with a direct flux-based multigrid method. A large eddy simulation (LES) of turbulence is performed for a spatially evolving mixing layer and compared with the results of a high-order scheme. The results using the present 2 nd order scheme show high accuracy and high resolution, comparable those of high-order numerical schemes.