This Dataset contains the test case definition and reference data for the Taylor-Green Vortex (TGV) test case which builds the validation test case in the GALÆXI Paper (Section 5).

Incompressible TGV (Ma=0.1) according to (Link): J. DeBonis, Solutions of the Taylor–Green vortex problem using high- resolution explicit finite difference methods, in: 51st AIAA Aerospace Sciences Meeting, 2013, p. 382

Compressible TGV (Ma=1.25) according to: J.-B. Chapelier, D. J. Lusher, W. Van Noordt, C. Wenzel, T. Gibis, P. Mossier, A. D. Beck, G. Lodato, C. Brehm, M. Ruggeri, C. Scalo, N. Sandham, Comparison of high-order numerical methodologies for the simulation of the supersonic taylor-green vortex flow, submitted to Physics of Fluids (2024).

Executable of FLEXI/GALÆXI can be built using the build.py script: python3 build.py ./build-folder ./userblock.txt Note: Please ensure that all necessary dependencies of GALÆXI/FLEXI are available (including CUDA) and a Python3 environment is installed on the system.

This work was funded by the European Union. This work has received funding from the European High Performance Computing Joint Undertaking (JU) and Sweden, Germany, Spain, Greece, and Denmark under grant agreement No 101093393. Moreover, this research presented was funded by Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy EXC 2075 – 390740016, by the DFG Rebound – 420603919, and in the framework of the research unit FOR 2895. We acknowledge the support by the Stuttgart Center for Simulation Science (SimTech). The authors gratefully acknowledge the Gauss Centre for Supercomputing e.V. (www.gauss-centre.eu) for funding this project by providing computing time through the John von Neumann Institute for Computing (NIC) on the GCS Supercomputer JUWELS at Jülich Supercomputing Centre (JSC) as well as the support and the computing time on “Hawk” and its “Hawk-AI” extension provided by the Supercomputing Centre Stuttgart (HLRS) through the project “hpcdg”. This work was completed in part at the Helmholtz GPU Hackathon, part of the Open Hackathons program. The authors would like to acknowledge OpenACC-Standard.org, JSC, HZDR, and HIDA for their support.