6 papers · 1 filter
Monolithic kinetic algorithm for heterogeneous porous media systems using a continuous one-domain approach
Nikita O. Gusev, Ilya V. Karlin
We propose a lattice Boltzmann model (LBM) on standard lattices for simulating multi-dimensional, weakly compressible, isothermal flows within and around isotropic heterogeneous po…
Learning the Optimal Hydrodynamic Closure
Florian Kogelbauer, Candi Zheng, Ilya Karlin
We present the optimal hydrodynamic model for rarefied gas flows relative to a given kinetic model by combining the recent theory of slow spectral closure with machine learning tec…
Practical Kinetic Models for Dense Fluids
Ilya Karlin, Seyed Ali Hosseini
Nonlinear idempotent operator instead of a linear projection is introduced to derive kinetic models for dense fluids. A new lattice Boltzmann model for compressible two-phase flow…
Exact Non-Local Hydrodynamics Predict Rarefaction Effects
Florian Kogelbauer, Ilya Karlin
We combine the theory of slow spectral closure for linearized Boltzmann equations with Maxwell's kinetic boundary conditions to derive non-local hydrodynamics with arbitrary accomm…
Rigorous Hydrodynamics from Linear Boltzmann Equations and Viscosity-Capillarity Balance
Florian Kogelbauer, Ilya Karlin
An exact closure for hydrodynamic variables is rigorously derived from the linear Boltzmann kinetic equation. Our approach, based on spectral theory, structural properties of eigen…
Transition time of a bouncing drop
Yahua Liu, Seyed Ali Hosseini, Cong Liu +4
Contact time of bouncing drops is one of the most essential parameters to quantify the water-repellency of surfaces. Generally, the contact time on superhydrophobic surfaces is kno…