A High Performance Computing Framework for Multiphase, Turbulent Flows on Structured Grids. - Petr Karnakov; Fabian Wermelinger; Michail Chatzimanolakis; Sergey Litvinov; Petros Koumoutsakos (PASC, 2019)

A hybrid particle volume-of-fluid method for curvature estimation in multiphase flows. - Petr Karnakov; Sergey Litvinov; Petros Koumoutsakos (CoRR, 2019)

Aphros: High Performance Software for Multiphase Flows with Large Scale Bubble and Drop Clusters. - Petr Karnakov; Fabian Wermelinger; Sergey Litvinov; Petros Koumoutsakos (PASC, 2020)

Computing foaming flows across scales: from breaking waves to microfluidics. - Petr Karnakov; Sergey Litvinov; Petros Koumoutsakos (CoRR, 2021)

Optimizing a DIscrete Loss (ODIL) to solve forward and inverse problems for partial differential equations using machine learning tools. - Petr Karnakov; Sergey Litvinov; Petros Koumoutsakos (CoRR, 2022)

Flow reconstruction by multiresolution optimization of a discrete loss with automatic differentiation. - Petr Karnakov; Sergey Litvinov; Petros Koumoutsakos (CoRR, 2023)

Individualizing Glioma Radiotherapy Planning by Optimization of a Data and Physics Informed Discrete Loss. - Michal Balcerak; Ivan Ezhov; Petr Karnakov; Sergey Litvinov; Petros Koumoutsakos; Jonas Weidner; Ray Zirui Zhang; John S. Lowengrub; Benedikt Wiestler; Bjoern H. Menze (CoRR, 2023)

Physics-Regularized Multi-Modal Image Assimilation for Brain Tumor Localization. - Michal Balcerak; Tamaz Amiranashvili; Andreas Wagner; Jonas Weidner; Petr Karnakov; Johannes C. Paetzold; Ivan Ezhov; Petros Koumoutsakos; Benedikt Wiestler; Bjoern H. Menze (NeurIPS, 2024)

Reinforcement Learning Closures for Underresolved Partial Differential Equations using Synthetic Data. - Lothar Heimbach; Sebastian Kaltenbach; Petr Karnakov; Francis J. Alexander; Petros Koumoutsakos (CoRR, 2025)

Optimal Navigation in Microfluidics via the Optimization of a Discrete Loss. - Petr Karnakov; Lucas Amoudruz; Petros Koumoutsakos (CoRR, 2025)

Contactless Precision Steering of Particles in a Fluid inside a Cube with Rotating Walls. - Lucas Amoudruz; Petr Karnakov; Petros Koumoutsakos (CoRR, 2025)