Some recent progress of high-order methods on structured and unstructured grids in CARDC

Some recent progress of high-order methods in China Aerodynamics Research and Development Center (CARDC) is reviewed in this paper, including the principals to design high-order method construction, series of high-order finite-difference schemes on structured grids, and discontinuous Galerkin/finite volume (DG/FV) hybrid schemes on unstructured grids. The applications of these high-order schemes are also presented to demonstrate the ability to simulate complex flow physics.