The research objectives of this project coincides with a VR proposal submitted 2026-04-14: "Structure-Aware Analysis of Turbulence: Stability, Energy Transfer, and Adaptive Computation for Navier-Stokes Equations and Magnetohydrodynamics". In the proposed project we develop a mathematical and computational framework for turbulence based on the stability and interaction of local flow structures. The central hypothesis is that: turbulence dynamics, energy transfer, and computability are governed by the stability properties of local velocity gradient structures, building on our recent research [1,2,3]. The project is based on the open source FEniCS-HPC framework [4] developed in our research group. Since 2008 SNIC/NAISS has supported our research and the development of open source software on Sweden’s most powerful supercomputing resources. [1] J. Kronborg and J. Hoffman, “Turbulence generation supported by an inverse energy transfer through a zig-zag pattern,” Scientific Reports, vol. 16, p. 7739, 2026. [2] J. Kronborg, J. Hoffman, The triple decomposition of the velocity gradient tensor as a standardized real Schur form, Physics of Fluids Vol.35(3), 031703, 2023. [3] J. Hoffman, Energy stability analysis of turbulent incompressible flow based on the triple decomposition of the velocity gradient tensor, Physics of Fluids, 33(8), 2021. [4] J.Hoffman et al., FEniCS-HPC: Coupled Multiphysics in Computational Fluid Dynamics, Jülich Aachen Research Alliance (JARA) High-Performance Computing Symposium, Springer, pp.58—69, 2016.