Petr Karnakov

Petr Karnakov

Petr Karnakov

Research and Interests

  • Computational fluid dynamics
  • Multiphase flow
  • Electrochemistry
  • Machine learning for scientific computing


  • PhD, ETH Zurich, 2021
  • Master of Science in Mechanics and Mathematical Modeling, Novosibirsk State University, 2016




  1. Cherny S, Lapin V, Esipov D, Kuranakov D, Avdyushenko A, Lyutov A, Karnakov P. Simulating fully 3D non-planar evolution of hydraulic fractures. International Journal of Fracture. 2016 10.1007/s10704-016-0122-x
  2. Hashemi SMH, Karnakov P, Hadikhani P, Chinello E, Litvinov S, Moser C, Koumoutsakos P, Psaltis D. A versatile and membrane-less electrochemical reactor for the electrolysis of water and brine. Energy & environmental science. 2019 10.1039/C9EE00219G
  3. Rasthofer U, Wermelinger F, Karnakov P, Šukys J, Koumoutsakos P. Computational study of the collapse of a cloud with 12 500 gas bubbles in a liquid. Physical Review Fluids. 2019 10.1103/PhysRevFluids.4.063602
  4. Karnakov P, Wermelinger F, Chatzimanolakis M, Litvinov S, Koumoutsakos P. A high performance computing framework for multiphase, turbulent flows on structured grids. Proceedings of the platform for advanced scientific computing conference on – PASC ’19. 2019 10.1145/3324989.3325727 [pdf]
  5. Karnakov P, Litvinov S, and Koumoutsakos P. A hybrid particle volume-of-fluid method for curvature estimation in multiphase flows. International journal of multiphase flow. 2020 10.1016/j.ijmultiphaseflow.2020.103209 arXiv:1906.00314
  6. Wan Z, Karnakov P, Koumoutsakos P, Sapsis T. Bubbles in Turbulent Flows: Data-driven, kinematic models with history terms. International journal of multiphase flow. 2020 10.1016/j.ijmultiphaseflow.2020.103286 arXiv:1910.02068
  7. Karnakov P, Litvinov S, Favre JM, Koumoutsakos P. V0018: Breaking waves: to foam or not to foam? Gallery of Fluid Motion Award video article
  8. Karnakov P, Arampatzis G, Kičić I, Wermelinger F, Wälchli D, Papadimitriou C, Koumoutsakos P. Data-driven inference of the reproduction number for COVID-19 before and after interventions for 51 European countries. Swiss medical weekly. 2020 10.4414/smw.2020.20313
  9. Karnakov P, Wermelinger F, Litvinov S, Koumoutsakos P. Aphros: High Performance Software for Multiphase Flows with Large Scale Bubble and Drop Clusters. Proceedings of the platform for advanced scientific computing conference on – PASC ’20. 2020 10.1145/3394277.3401856 [pdf]
  10. Chatzimanolakis M, Weber P, Arampatzis G, Wälchli D, Kičić I, Karnakov P, Papadimitriou C, Koumoutsakos P. Optimal allocation of limited test resources for the quantification of COVID-19 infections. Swiss Medical Weekly. 2020 10.4414/smw.2020.20445
  11. Martin SM, Wälchli D, Arampatzis G, Economides AE, Karnakov P, Koumoutsakos P. Korali: Efficient and scalable software framework for Bayesian uncertainty quantification and stochastic optimization. Computer Methods in Applied Mechanics and Engineering. 2021 10.1016/j.cma.2021.114264
  12. Karnakov P. The multilayer volume-of-fluid method for multiphase flows across scales: breaking waves, microfluidics, and membrane-less electrolyzers. PhD thesis. ETH Zurich. 2021 10.3929/ethz-b-000547518
  13. Karnakov P, Litvinov S, Koumoutsakos P. Computing foaming flows across scales: from breaking waves to microfluidics. Science Advances. 2022 10.1126/sciadv.abm0590
  14. Karnakov P, Litvinov S, Koumoutsakos P. Optimizing a DIscrete Loss (ODIL) to solve forward and inverse problems for partial differential equations using machine learning tools. 2022 arXiv:2205.04611



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