Nikolai Bessonov - Principal Researcher - Laboratory of micro-mechanics of materials
Research and development work in fluid and solid mechanics, heat transfer, lubrication, theoretical and computation biology. The generalization of the classical theory of viscous liquids to liquids with microstructure. Development of a theory of micropolar liquid which describes various capillary phenomena. Development of a micropolar lubrication theory in submicron channels based on with anomaliesnear solid surfaces. Application of the theory to analysis of filtration, lubrication, flow of suspensions and for similar problems. Mathematical modeling of the behavior of deformable bodies of complex structure.
Development of the model of regeneration of biological organisms. Was propose a set of conjectures on the phenomenon of variability, and denote a difference between a normal (local) variability of developmental pathways, leading to an invariant final structure (e.g., embryo shape), and fundamental variability (changeability) of developmental pathways, which is a switching between different pathways, leading to different possible structures.
For illustrating our conjectures, we analyzed early developmental stages of plant embryos with different levels of variability of developmental pathways, and provide a set of computational experiments by Morphogenesis Software.
Simulation of blood flow in capillaries using dissipative particles dynamics method. Model of erythrocytes and platelets bases on equations of elastic shell with large deformation. Interaction between erythrocytes and platelets described by soft contact algorithm. Particularly, the separation of erythrocytes and platelets (thrombocytes) in blood flow is obtained.
Research and Development work in theoretical and computation electrodynamics. Development of a model and numerical methods for simulations of high velocity elastics-plastics flows: complex rheological neo-Hooke's constitutive relations, Maxwell equations, new elastics predictor plastics corrector procedure which based on correction of initial configuration of solid and allows to describe Bauschinger effect also, explicit and implicit numerical schemes, universal contact algorithm, based on ``mild" contact idea.
Development of model of a binary miscible liquids. The model is based on the Navier-Stokes equations with the Korteweg stress. In particular, there exists a miscible analogue to the Marangoni convection where the temperature gradient is applied along the transition zone between two fluids. Convection also appears if instead of the temperature gradient the casewhere the width of the transition zone varies in space was considered. Development of a numerical method and programming code for simulation of interaction in binary miscible liquids. The basic conclusion of the numerical simulations is that transient capillary phenomena in miscible liquids exist and can produce convective flows sufficiently strong to be observed experimentally. Several configurations corresponding to the microgravity experiments planned for the International Space Station.