High accurate finite volume method for large eddy simulation of complex turbulent flows

This paper proposes a finite volume method with compact fourth order accuracy scheme for large eddy simulation (LES). Two-dimensional lid-driven cavity flow and a flow over an. oscillating plate are used as examples to verify both the accuracy and convenience of the proposed scheme. A turbulent channel flow and a turbulent flow over A backward facing step are numerically tested for its effectiveness by LES with dynamic Smagorinsky subgrid model. Immersed boundary method (IBM) is applied in this paper to deal with flows with complex configuration so that the boundary condition on the rigid wall can be satisfied well. A curved channel flow and a flow around an airfoil of NACA0012 are computed with immersed boundary method, and comparison with experimental data is also made, showing that the higher accurate finite volume method for LES is proved to be a promising numerical method.