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 K.D.Nikitin, Yu.V.Vassilevski. “Free surface flow modelling on dynamically refined hexahedral meshes.” // Russian Journal of Numerical Analysis and Mathematical Modelling, Vol.23, No.5, (2008), pp.469-485.
 K.D.Nikitin. “Computational technology for free surface flows with the use of dynamic hexahedral meshes.” // Computational Methods, Parallel Computing and Information Technology, MSU Publishing House, (2008), pp.183–193. (in Russian)
 K.D.Nikitin, M.A.Olshanskii, K.M.Terekhov, Yu.V.Vassilevski, "Numerical simulations of free surface flows on adaptive cartesian grids with level set function method" // submitted, November 2010. notv9.pdf
 K.D.Nikitin, M.A.Olshanskii, K.M.Terekhov, Y.V.Vassilevski. “Preserving distance property of level set function and simulation of free surface flows on adaptive grids” // Numerical geometry, grid generation and high perfomance computing, (2010), pp.25-32.
 K.D.Nikitin. “Realistic free surface flow modelling on adaptive octree meshes.” // SpbGU ITMO, Vol.70, No.6, (2010), pp.60-64. (in Russian)
 K.D.Nikitin “Finite volume method for advection-diffusion equation and multiphase flows”, Ph.D. thesis, 2010. nikitin-thesis.pdf (in Russian)
 K.D.Nikitin, M.A.Olshanskii, K.M.Terekhov, Yu.V.Vassilevski. “A numerical method for the simulation of free surface flows of viscoplastic fluid in 3D.” // Journal of Computational Mathematics, Vol.29, No.6, 2011, 605–622. notv2011.pdf
 K.D.Nikitin, M.A.Olshanskii, K.M.Terekhov, Yu.V.Vassilevski. “CFD technology for 3D simulation of large-scale hydrodynamic events and disasters.” // Russian Journal of Numerical Analysis and Mathematical Modelling, Vol.27, No.4, (2012), pp.399–412. notv2012.pdf
 M.A.Olshanskii, K.M.Terekhov, Yu.V.Vassilevski. “An octree-based solver for the incompressible Navier-Stokes equations with enhanced stability and low dissipation” // Computers and Fluids, (2013).
Simulation of the flow around cylinder with circular cross-section in inviscid limit with grid refined towards absolute value of vorticity. Colored in absolute value of vorticity.
Dam break flow over incline plane with alpha = 18°.
Herschel-Bulkley fluid with K = 47.68 Pa/s^n, n = 0.415, tau_s = 89 Pa.
1) Semi-Lagrangian method (2nd order interpolation), 2) Semi-Lagrangian method (3srd order interpolation), 3) 2nd order upwind TVD
1) The schematic apparatus from J. Martin, W. Moyce, Philos.Trans.R.Soc.Lond.Ser.A, V. 244 (1952), 2) animated numerical solution with the velocity field 3-4) comparison with the experimental data