Van-Dang NGUYEN
    Ph.D. Applied Mathematics, Ph.D Cand. Computer Science


 ACTIVE RESEARCH

Easy diffusion MRI simulation with FEniCS on Google Colaboratory


The simulation of diffusion MRI becomes easier than ever with FEniCS on Google Colaboratory. Colaboratory is a free Jupyter Notebook environment that requires no setup and runs entirely in the cloud. The simulation method was developed in this article. You can click HERE to try with diffusion inside a disk. More examples can be found HERE.


Turbulence simulations of a vertical axis wind turbine


  1. Navier-Stokes equations
  2. Least-squares stabilized finite element method
  3. Direct numerical solution (DNS) for turbulent flows with the slip condition at the object surface
  4. Dual-based error control for automated mesh adaptation
  5. Rotating ALE framework.
  6. Large-scale simulations on the FEniCS-HPC framework.


Parked case



Rotating case




Turbine size

Validations against experimental force coefficient

Computational diffusion MRI


  1. Bloch-Torrey equations
  2. Extended finite element method for the implementation of permeable membranes
  3. Weak implementation of the pseudo-periodic boundary conditions
  4. A wide range of gradient strengths
  5. Large-scale simulations on the FEniCS-HPC framework.


A pyramidal neuron of an adult female mouse

The signals were averaged over the three principle directions






A simulation inside a spindle