Comparison Between Newton and Hermite ENO Interpolations as Applied to Reentry Flows in 2D

摘要

In this work, a comparison between the Newton and Hermite interpolations as applied to ENO procedure is presented. The Euler and Navier-Stokes equations, in conservative and finite volume contexts, employing structured spatial discretization, are studied. The ENO procedure is presented to a conserved variable interpolation, using either the Newton method, to second-, third-, fourth- and fifth-orders of accuracy, or the Hermite method, to third- and fifth-orders of accuracy. The “hot gas” hypersonic flow around a blunt body is simulated. The results have indicated that the Newton interpolation presents better solutions, although better computational performance is observed with the Hermite interpolation.