Peter Eliasson

TL;DR: The unstructured node centered finite volume method is analyzed and it is shown that it can be interpreted in the framework of summation by parts operators and introducing boundary conditions weakly produces strictly stable formulations.

TL;DR: EURANUS—a general software software system for the simulation of 3-D Reynolds-averaged Navier-Stokes flows about complex geometries, being developed for the European Space Agency for use as a major tool in its aerothermodynamic design work is described.

TL;DR: It is shown that the weak implementation is superior and enhances the convergence to steady-state for coarse meshes, and it is demonstrated that all the stable approaches produce the same convergence rate as the mesh size goes to zero.

TL;DR: The paper focuses on the implementation of the line-implicit scheme starting from an explicit multigrid flow solver and on the application of it, and the gain is quantified in terms of reduction of iterations and CPU time.

TL;DR: The influence of weak and strong solid wall boundary conditions on the convergence to the Navier-Stokes equations has been studied in this article, where strong and weak boundary conditions have been shown to influence the convergence.