OUxSBLI

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

Dependency

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

Usage

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

Discretization

Spatial (Convection terms)

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

Spatial (Viscous terms)

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

Spatial SGS

• Selective mixed scale model (Under development)

Temporal

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

Validations and visualizations

Supersonic Taylor-Green vortex

The results are consistent with Lusher's results.

• Numerical setup

$Re$	$1600$
$Ma$	$1.25$
$N_x \times N_y \times N_z$	$512\times512\times512$

@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}
}

Shock Boundary Layer Interaction (SBLI)

Related Publication

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.

License

This project is under BSD 3-Clause License