Seventh-order hybrid cell-edge and cell-node dissipative compact scheme
(HDCS-E8T7) is extended to a new implicit large eddy simulation named HILES on
stretched and curvilinear meshes. Although the conception of HILES is similar to that
of monotone integrated LES (MILES), i.e., truncation error of the discretization scheme
itself is employed to model the effects of unresolved scales, HDCS-E8T7 is a new highorder
finite difference scheme, which can eliminate the surface conservation law (SCL)
errors and has inherent dissipation. The capability of HILES is tested by solving several
benchmark cases. In the case of flow past a circular cylinder, the solutions of HILES
fulfilling the SCL have good agreement with the corresponding experiment data, however,
the flowfield is gradually contaminated when the SCL error is enlarged. With the
help of fulling the SCL, ability of HILES for handling complex geometry has been enhanced.
The numerical solutions of flow over delta wing demonstrate the potential of
HILES in simulating turbulent flow on complex configuration.