On uniformly high-order accurate residual distribution schemes for advection–diffusion

摘要

We discuss preliminary results on the construction of uniformly high-order residual distribution (RD) type discretizations for steady advection–diffusion on unstructured grids. A properly designed scaling of the RD upwind stabilization with the physical viscosity allows to obtain schemes with uniform and arbitrary accuracy, on a very compact stencil. Second and third-order examples are given to illustrate the potential of the approach.