Numerical Modeling of Stratified Flows
We developed an Arbitrary LagrangianEulerian Variational MultiScale (ALEVMS) formulation aimed at the simulation of stratified flows on moving domains. The formulation couples the Navier–Stokes equations of incompressible flows with the Boussinesq approximation, and a scalar advection–diffusion equation for the density or temperature field. The proposed formulation showed good agreement with experimental results and DNS simulations reported by other researchers.
Aerodynamic simulation of atmospheric flow over the Perdigao terrain. Slice of the domain with horizontal velocity.
The framework can be used to understand the dynamic behaviour of the Atmospheric Boundary Layer (ABL) flows with different stability regimes over complex terrain, including hills and mountains; understand the effect of atmospheric stability on wind turbine wake generation and waketurbine interaction in a context of aerodynamic and FSI analysis of multiple wind turbines; understand turbulent mixing in stratified flows and the effect of stratification on wake collapse.
Publications

Y. Bazilevs, K.Takizawa, T.Tezduyar, A.Korobenko, T. Kuraishi, Y. Otoguro
Computational aerodynamics with isogeometric analysis, Journal of Mechanics, 39, pp. 2439, 2023 
H. Cen, Q. Zhou, A.Korobenko
Isogeometric variational multiscale modeling of stably stratified flows over complex terrains, Mathematical Models and Methods in Applied Sciences, 32(12), 23712399, 2022 
H. Cen, Q. Zhou, A.Korobenko
Wallfunctionbased weak imposition of Dirichlet boundary condition for stratified turbulent flows, Computers & Fluids, 234, 105257, 2022 
H. Cen, Q. Zhou, A.Korobenko
Simulation of stably stratified turbulent channel flow using residualbased variational multiscale method and isogeometric analysis, Computers & Fluids,214, 104765, 2021 
A.Korobenko, J.Yan, S.M.I.Gohari, S.Sarkar, Y.Bazilevs
FSI Simulations of Multiple HorizontalAxis Wind Turbines Interacting with Atmospheric Boundary Layer Flow, Computers & Fluids,158, 167175, 2017 
J.Yan, A.Korobenko, A.TejadaMartinez, R.Golshan, Y.Bazilevs
A new variational multiscale formulation for stratified incompressible turbulent flows, Computers & Fluids, 158, 150156, 2017 
Y.Bazilevs, A.Korobenko, J.Yan, A.Pal, S.M.I.Gohari, S.Sarkar
ALEVMS Formulations for Stratified Turbulent Incompressible Flows with Applications, Mathematical Models and Methods in Applied Science, 25(12), 2015