A Direct Flux Reconstruction Scheme for Advection–Diffusion Problems on Triangular Grids

摘要: The direct flux reconstruction (DFR) scheme is a high-order numerical method which an alternative realization of the (FR) approach. In 1D, DFR has been shown to be equivalent FR variant nodal discontinuous Galerkin scheme. this article, approach extended triangular elements for advection and advection–diffusion problems. This was accomplished by combining aspects SD–RT spectral difference (SD) triangles, with modifications motivated characteristics in one dimension. Von Neumann analysis applied new linear stability found dependent on location internal collocation points. contrast standard indicates certain point sets can result schemes exhibit weak stability; however, stable accurate solutions number nonlinear benchmark problems are readily obtained.