rmojgani / 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.

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	Python (JAX)
🌊	Py2D	Python-Jax solver for 2D turbulence	GitHub	Python (JAX)
🖥️	LPINNs	Lagrangian physics-informed neural network	GitHub	Python (Pytorch)
🖥️	MEDIDA	Model Error Discovery with Interpretability and Data Assimilation	GitHub	Python
🖥️	MEDIDA_QG	Model Error Discovery with Interpretability and Data Assimilation for quasi-geostrophic turbulence	GitHub	Python (PyTorch)
🖥️	Physics Aware Auto-encoder	Manifold learning for large Kolmogorov n-width PDEs	GitHub	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	Fortran 90
🌊	Compressible flow on an airfoil	Roe's Riemann solver for Euler equations on unstructured grids	GitHub	Fortran 90

Summary of my resume

Highlights:

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

• A presentation at Rice University - MECH Seminar Series, Nov 2020

1. Fully data-driven dimensionality reduction (Autoencoder approach):

• Print: AAAI-2021
• Repository: PhysicsAwareAE
• Poster: MLTP-2020
• Presentation: My YouTube Channel, presented at AAAI 2021, AAAI-2021

2. Stabilization of time-varying reduced order models:

• Print: IJNME
• Repository: Contact me
• Presentation: My YouTube Channel, presented at MMLDT 2021

3. Lagrangian dimensionality reduction:

• Preprint: arXiv
• Repository: Contact me

physicsawareae's Issues

Missing fd_normal

Dear Rambod,

Thank you for providing the codes. I was running the code main_opt_config03 for 2DRiemann, but unfortunately, I get the following error:

The code is initiated on Serial 
ssssssssssssssssssssssssssssssssssssssssssssss
Unrecognized function or variable 'fd_normal'.

Error in main (line 48)
Dx = sparse(fd_normal(Nx,order_D1,x,1));

Error in main_opt (line 10)
main

Error in main_opt_config03 (line 32)
main_opt

Can you please help me with this? I am running the code on Matlab2020b.

Thank you in advance!

Best,
Pawan