6 citations · 6 across the 1 of their papers we have counts for
2 papers
physics.comp-ph2019★ 6 cited
The application of the Lattice Boltzmann method to the one-dimensional blood flow dynamics in elastic vessels
Oleg Ilyin
The one-dimensional nonlinear equations for the blood flow motion in distensible vessels are considered using the kinetic approach. It is shown that the Lattice Boltzmann (LB) mode…
physics.comp-ph2017
Nonlinear pressure-velocity waveforms in large arteries, shock waves and wave separation
Oleg Ilyin
The nonlinear inviscid 1D blood flow equations are studied analytically using the method of characteristics. The boundary value problem with a triangle-shaped boundary data at the…