OUxSBLI is a GPU-accelerated CFD code written in CUDA Fortran. It employs explicit high-order finite-difference schemes on a rectilinear and a curvilinear grid.

• HPC SDK (version 24.* and 25.* are better)
• ParaView (for visualization output files are XML VTK format)

1. Go to a working directory (supersonic viscous Taylor-Green vortex)

$ cd ./3D_solver/NSTGV

2. Edit mod_globals.f90

• Choose equation type "id_visc" (Euler or NS)
• Choose scheme "id_scheme", "id_accuracy", "id_tvd", and "id_slau"
• Choose grid size "nx", "ny", and "nz"
• Optimize block-size
• Choose time integration method

3. Edit set.f90

• Set grid
• Set initial conditions
• Set boundary conditions

4. Compile

$ make

5. Execute

$ bash ./calc.sh

6. Optimization

• In some directories, you can get nsys and ncu iformation by running profile.sh

• Kinetic energy and entropy preserving (KEEP) scheme
• Simple low-dissipation AUSM (SLAU) scheme
• Roe scheme
• KEEP / SLAU hybrid scheme

• ME4-Base
• Gaitonde and Visbal's 2nd-order scheme

• Selective mixed scale model (Under development)

• 3-3 TVD Runge-Kutta
• 4-4 Runge-Kutta

The results are consistent with Lusher's results.

• Numerical setup

@article{lusher2021assessment,
  title={Assessment of low-dissipative shock-capturing schemes for the compressible Taylor--Green vortex},
  author={Lusher, David J and Sandham, Neil D},
  journal={AIAA Journal},
  volume={59},
  number={2},
  pages={533--545},
  year={2021},
  publisher={American Institute of Aeronautics and Astronautics}
}

This repository contains the implementation used in the following publication:

Jun Hatayama, Kento Tanaka, and Toshinori Kouchi. "Nonlinear causal relationship between separation bubbles and reflected shock wave in shock wave/turbulent boundary layer interaction based on information theory." Computers & Fluids (2026): 107016.

@article{hatayama2026nonlinear,
  title={Nonlinear causal relationship between separation bubbles and reflected shock wave in shock wave/turbulent boundary layer interaction based on information theory},
  author={Hatayama, Jun and Tanaka, Kento and Kouchi, Toshinori},
  journal={Computers \& Fluids},
  pages={107016},
  year={2026},
  publisher={Elsevier}
}

The repository was made publicly available after publication to improve reproducibility. However, this version may differ slightly from the version used in the paper.

Development during 2024 and 2025 was primarily conducted by the project owner.
Starting in 2026, the project expanded its contributor base and introduced AI-assisted "vibe coding" workflows using Claude Code.

To maintain transparency, we aim to clearly distinguish which parts of the codebase and development workflow involve AI-generated content or AI-assisted modifications. In addition, as part of our effort to share practical knowledge on AI-assisted development in the HPC community, we provide Claude Code plan files under ./docs/plans.

This project is under BSD 3-Clause License