FREESTREAM PRESERVATION ON A HIGH-ORDER CONSERVATIVE FR SCHEME

The appropriate procedure for constructing symmetric conservative metrics is presented with which both of the freestream preservation and global conservation properties are satisfied in the high-order conservative flux-reconstruction scheme on a three-dimensional stationary-curvilinear grid. A freestream preservation test is conducted, and the symmetric conservative metrics constructed by the appropriate procedure preserve the freestream with regardless of the order of shape functions, while other metrics cannot always preserve the freestream. Also a convecting vortex is computed on three-dimensional wavy grids, and the formal order of accuracy is achieved when the symmetric conservative metrics are appropriately constructed, while it is not when they are inappropriately constructed.