Quasi-ENO schemes for unstructured meshes based on unlimited data-dependent least-Square reconstruction

摘要

A crucial step in obtaining high-order accurate steady-state solu- tions to the Euler and Navier-Stokes equations is the high-order accurate reconstruction of the solution from cell-averaged values. Only after this reconstruction has been completed can the flux inte- Gral around a control volume be accurately assessed. In this work, A new reconstruction scheme is presented that is conservative, is Uniformly accurate, allows only asymptotically small overshoots, Is easy to implement on arbitrary meshes, has good convergence Properties, and is computationally efficient.