Nijat Rustamov

Physics, Math and Computing

PhD Candidate specializing in CFD, Physics-Informed Machine Learning, and parallel computing.

View My Work
About Me

I am a researcher bridging the gap between nano and macroscale fluid dynamics using modern high-performance computing. My work focuses on developing high-fidelity Computational Fluid Dynamics (CFD) solvers and accelerating them using Physics-Informed Neural Networks (PINNs).


Currently pursuing my PhD, I enjoy tackling complex multi-scale problems where fluid dynamics meets data science.

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Featured Projects

Introducing Marlin, a high-performance CFD Solver

A highly scalable Lattice Boltzmann Fluid Solver implemented in C++ with MPI.

C++ MPI GPU
[ TRAINING NETWORK : PINN_TB ]

PINNs for rarefied flows

Physics-Informed Neural Networks trained to predict gas transport in nano-porous media.

Python PyTorch GPU

LBM GPU Accelerator

Lattice Boltzmann Method solver implemented in CUDA for real-time fluid simulation.

CUDA C++ GPU
Publications

Books

Scale Translation in Complex Porous Media
Lingfu, L., Rustamov, N., Aryana, S. A.
De Gruyter (2026) In Progress

Journal Publications

On multi-block lattice Boltzmann method for high Knudsen number flows
Rustamov, N., Mostaghimi, P. and Aryana, S.A.
Advances in Geo-Energy Research, 16(2), pp. 143–157 (2025)
Scalable simulation of coupled adsorption and transport of methane in confined complex porous media with density preconditioning
Rustamov, N., Liu, L., & Aryana, S. A.
Gas Science and Engineering, 119, 205131 (2023)
Scalable simulation of pressure gradient-driven transport of rarefied gases in complex permeable media using lattice Boltzmann method
Rustamov, N., Douglas, C. C., & Aryana, S. A.
Fluids, 8(1), 1 (2022)

Work in Progress

Fourier-Hermite neural operators for Boltzmann systems
Rustamov, N., Aryana, S. A.
(2026) In Progress
Application of Multi-fidelity Gappy POD Based Surrogate Models for Prediction of Time-Dependent Lattice Boltzmann Fluid Dynamics Models
Andrew K., Rustamov, N., Aryana, S. A.
(2026) In Progress
Technical Stack

Computing & Languages

  • C/C++
  • Python
  • MATLAB
  • HTML/CSS/JAVASCRIPT

HPC & Tools

  • MPI & OpenMP
  • Slurm / PBS
  • Docker
  • Git / CI/CD
  • Make

CFD & ML

  • MOOSE
  • Ansys Fluent
  • PyTorch / TensorFlow
  • Paraview