ENO Schemes for Convection-Diffusion Problems

In the paper an investigation of high-order accuracy ENO schemes is presented. Such schemes allow a high-order spatial discretization by means of a piece-wise polynomial interpolation of the numerical solution; ENO reconstruction, based on adaptive stencils, avoids Gibb-like phenomena near discontinuities of the solution, and lead to a scheme well suited for the study of high-speed fluid-dynamics problems where steep gradient may occur.