Title:	High Order Accurate Space-Time Approximations for Unsteady CFD
DNr:	SNIC 2014/1-345
Project Type:	SNIC Medium Compute
Principal Investigator:	Jan Nordström <jan.nordstrom@liu.se>
Affiliation:	Linköpings universitet
Duration:	2014-12-01 – 2015-12-01
Classification:	10105 20306 20303
Homepage:	http://www.mai.liu.se/~janno11/
Keywords:

Abstract

The high order finite difference method in combination with summation-by-parts operators and weak boundary conditions can efficiently and reliably handle large problems on structured grids for reasonably smooth geometries. This has been shown in a sequence of papers in the best of journals, where the theoretical tools SBP operators, SAT boundary treatment have been described. The research code ESSENSE for flow calculations using the Navier-Stokes equations based on the SBP-SAT technique has been developed into production status in the EU FP-7 project IDIHOM (Industrialisation of Higher Order Methods). ESSENSE is currently being further developed above a collaboration project funded by VINNOVA together with SAAB and FOI. Convergence acceleration techniques such as dual time-stepping and multi-grid is added on in order to make the time-integration more efficient. The SBP-SAT described above was recently extended to the time-domain by the PI and students. It is a major breakthrough and fully discrete stable high order space-time approximations are now within reach. This development of the new SBP-SAT technique in time require extensive testing and access to the best of computer resources available. We have currently time on Lindgren (SNIC 2014/1-133) but now need more, preferably on Triolith.