Quadrature-free WENO reconstruction on unstructured meshes

Implementation of high-order schemes for numerical solution of Navier–Stokes equations, based on WENO reconstruction and quadrature-free approach is presented. Projection on the basis functions of special kind along with analytical integration is used to provide desired order of flux approximation. Equations for basis functions of arbitrary order along with tabulated integrals for special case of forth-order scheme in two dimensions are formulated.