Reservoir simulation in Julia: Multi-phase, multi-component Darcy flow based on Jutul.jl

A python package for physics-informed machine learning for solving partial differential equations

SOFTBALL: SOlidification, Flow, and Thermodynamics in Binary ALLoys. A code for simulating convection in mushy layers with Adaptive Mesh Refinement.

Implementation of the Reduced Basis Method

Microscale lung capillary perfusion and gas exchange modeling.

Groundwater flow equation: Finite-difference forward, adjoint, and gradient operators with PyTorch wrapper

Fourier Neural Operator surrogate for 2D Darcy flow, trained with PyTorch DDP across multiple GPUs. From-scratch finite-volume PDE solver, automated 1-vs-N-GPU scaling benchmark, tests + CI.

SpectralNet v4: differentiable Chernoff–Remizov trajectories for inverse problems (1D Darcy). Companion code for Zenodo 10.5281/zenodo.19637120.

SpectralNet v5: spectral evaluation of 2D Chernoff–Remizov trajectories for 2D Darcy inverse problems. Companion code for Zenodo 10.5281/zenodo.19664767.

Matrix-free multigrid finite-volume solver for 2D Darcy flow in C++17, with OpenMP parallelism and zero-copy Python bindings. Grid-independent multigrid-preconditioned CG, batched dataset generation, native + Python tests, CI.

An educational project on gas flow through porous media, covering Darcy–Forchheimer modeling, compressibility effects, pressure-drop prediction for flat and cylindrical samples, and Python-based numerical calculations.

Official source code for the ICANN 2026 paper "Beyond Smooth Darcy: Evaluation Changes the Conclusion in Sparse-Sensor Inverse Learning".

An educational project on gas flow through porous media, covering Darcy–Forchheimer modeling, compressibility effects, pressure-drop prediction for flat and cylindrical samples, and Python-based numerical calculations.

A reduced-order Python repository for simulating espresso extraction as flow through a compressed porous medium.