Large eddy simulation on curvilinear meshes using seventh-order dissipative compact scheme

• We investigate the performance of HILES on curvilinear meshes.
• The HILES is developed based on the HDCS-E8T7 having inherent dissipation.
• The HILES satisfying the SCL has great performance on curvilinear meshes.
• The flowfield of the HILES may be contaminated by the SCL errors.
• The HILES has potential ability to handle complex geometry.

This work investigates the performance of the high-order implicit large eddy simulation (HILES) on curvilinear meshes. The HILES is developed based on a seventh-order hybrid cell-edge and cell-node dissipative compact scheme (HDCS-E8T7) satisfying the surface conservation law (SCL). Efficiency of implicit subgrid-scale model is tested by three-dimensional Taylor–Green vortex case. According to the test of flow over a cylinder, the influence of the SCL errors has been investigated on curvilinear mesh. Then stall phenomena of thin airfoil NACA64A006 have been simulated by the HILES. The slope of lift curve, the maximum lift and the stall angle are successfully predicted. Moreover, the lift characteristic seems to be satisfactorily captured even after the stall angle. The solutions demonstrate the potential of HILES for simulating complex turbulent flow.