Unsteady residual distribution schemes for transition prediction

Abstract

ARTICLE INFO ABSTRACTIn this work, the unsteady simulation of the Navier-Stokes equations is carried out by using a Residual Distribution Schemes (RDS) methodology. This algorithm has a compact stencil (cell-based computations) and uses a finite element like method to compute the residual over the cell. The RDS method has been successfully proven in steady Navier-Stokes computation but its application to fully unsteady configurations is still not closed, because some of the properties of the steady counterpart can be lost. Kevwords-Here, we proposed a numerical solution for unsteady problems that is fully compatible with the original Unsteady numerical simulation approach. In order to check the method, we chose a very demanding test case, namely the numerical Finite element methods simulation of a Tollmien-Schlichting (TS) wave in a 2D boundary layer. The evolution of this numerical Boundary layer transition perturbation is accurately computed and checked against theoretical results.