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Rambod Mojgani

■ computational sciences ■ data-driven modeling ■ machine learning in physical systems ■ model reduction

Select Projects:

Project Description Repository Language
🖥️ RL SGS on Korali Theory-driven reinforcement learning for sub-grid scale LES models of 2D turbulent GitHub GitHub Repo stars Python (JAX)
🌊 Py2D Python-Jax solver for 2D turbulence GitHub GitHub Repo stars Python (JAX)
🖥️ LPINNs Lagrangian physics-informed neural network GitHub GitHub Repo stars Python (Pytorch)
🖥️ MEDIDA Model Error Discovery with Interpretability and Data Assimilation GitHub GitHub Repo stars Python
🖥️ MEDIDA_QG Model Error Discovery with Interpretability and Data Assimilation for quasi-geostrophic turbulence GitHub GitHub Repo stars Python (PyTorch)
🖥️ Physics Aware Auto-encoder Manifold learning for large Kolmogorov n-width PDEs GitHub GitHub Repo stars Matlab & Python (Keras)
🦾 LTV ROM Stabilization An optimal feedback controller for linear time-varying reduced order models Contact me Matlab
🌊 Incompressible flow in a Lid-driven cavity A control-volume-based finite element method GitHub GitHub Repo stars Fortran 90
🌊 Compressible flow on an airfoil Roe's Riemann solver for Euler equations on unstructured grids GitHub GitHub Repo stars Fortran 90

Summary of my resume

Highlights:

My PhD Thesis on ``Reduced order modeling of convection-dominated flows, dimensionality reduction and stabilization''

  1. Fully data-driven dimensionality reduction (Autoencoder approach):
  1. Stabilization of time-varying reduced order models:
  1. Lagrangian dimensionality reduction:

Rambod Mojgani's Projects

cfd_aut icon cfd_aut

Project I : A control-volume-based finite element method is used to solve the in compressible flow, in a lid-driven cavity. Project II : Roe's Riemann solver is used for compressible Euler equations on unstructured grids, flow on an airfoil.

deepxde icon deepxde

Deep learning library for solving differential equations and more

dominant-balance icon dominant-balance

Methods and code for J. L. Callaham, J. N. Kutz, B. W. Brunton, and S. L. Brunton (2020)

exgan icon exgan

Adversarial Generation of Extreme Samples

korali icon korali

High-performance framework for uncertainty quantification, optimization and reinforcement learning.

lpinns icon lpinns

To address some of the failure modes in training of physics informed neural networks, a Lagrangian architecture is designed to conform to the direction of travel of information in convection-diffusion equations, i.e., method of characteristic; The repository includes a pytorch implementation of PINN and proposed LPINN with periodic boundary conditions

nmor icon nmor

Deep learning framework for model reduction of dynamical systems

physicsawareae icon physicsawareae

The unsupervised learning problem trains a diffeomorphic spatio-temporal grid, that registers the output sequence of the PDEs onto a non-uniform parameter/time-varying grid, such that the Kolmogorov n-width of the mapped data on the learned grid is minimized.

pinnpapers icon pinnpapers

Must-read Papers on Physics-Informed Neural Networks.

pysr icon pysr

High-Performance Symbolic Regression in Python and Julia

resume-template icon resume-template

:page_facing_up::briefcase::tophat: A simple Jekyll + GitHub Pages powered resume template.

rnn-lyapunov-spectrum icon rnn-lyapunov-spectrum

A data-driven method to calculate the Lyapunov exponent of a dynamical system employing a GRU-RNN.

rom-opinf-combustion-2d icon rom-opinf-combustion-2d

Source code for the paper "Data-driven reduced-order models via regularised Operator Inference for a single-injector combustion process" by S. A. McQuarrie, C. Huang, and K. E. Willcox.

rvm-find icon rvm-find

Relevance Vector Machines (RVMs) for Bayesian data-driven discovery of PDEs.

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