54 citations · 202 across the 6 of their papers we have counts for
6 papers
Flow reconstruction by multiresolution optimization of a discrete loss with automatic differentiation
Petr Karnakov, Sergey Litvinov, Petros Koumoutsakos
We present a potent computational method for the solution of inverse problems in fluid mechanics. We consider inverse problems formulated in terms of a deterministic loss function…
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
We introduce the Optimizing a Discrete Loss (ODIL) framework for the numerical solution of Partial Differential Equations (PDE) using machine learning tools. The framework formulat…
Computing foaming flows across scales: from breaking waves to microfluidics
Petr Karnakov, Sergey Litvinov, Petros Koumoutsakos
Crashing ocean waves, cappuccino froths and microfluidic bubble crystals are examples of foamy flows. Foamy flows are critical in numerous natural and industrial processes and rema…
Mirheo: High-Performance Mesoscale Simulations for Microfluidics
Dmitry Alexeev, Lucas Amoudruz, Sergey Litvinov +1
The transport and manipulation of particles and cells in microfluidic devices has become a core methodology in domains ranging from molecular biology to manufacturing and drug desi…
A hybrid particle volume-of-fluid method for curvature estimation in multiphase flows
Petr Karnakov, Sergey Litvinov, Petros Koumoutsakos
We present a particle method for estimating the curvature of interfaces in volume-of-fluid simulations of multiphase flows. The method is well suited for under-resolved interfaces,…
Bending models of lipid bilayer membranes: spontaneous curvature and area-difference elasticity
Xin Bian, Sergey Litvinov, Petros Koumoutsakos
We preset a computational study of bending models for the curvature elasticity of lipid bilayer membranes that are relevant for simulations of vesicles and red blood cells. We comp…