Department of Mathematical Sciences
Alexander Labovsky
  303 Fisher Hall

Research Interests

To date I have worked on multiscale modeling and numerical analysis of turbulence models for Navier-Stokes and coupled Navier-Stokes (MagnetoHydroDynamics) equations, performed computational simulations and developed and applied numerical methods for partial differential equations. I also have ongoing projects in Stochastic PDEs and Markov Chain approximation of chaos. My general research interests span


Computational Fluid Dynamics and Applications

• Navier-Stokes equations


• Large Eddy Simulation of Turbulence


• Approximate Deconvolution Models


• Multiscale Models and Computations




Numerical Methods for Partial Differential Equations

• High accuracy Discretization


• Multiscale Methods


• Finite Element Methods


• Spectral Methods




Coupled Navier-Stokes systems: MagnetoHydroDynamics (MHD)

• Phenomenology of MHD Turbulence


• Turbulent models for MHD




Stochastic Analysis of PDEs

• Analysis and Modeling of Stochastic Turbulent Navier-Stokes equations


• Sparse Grid Collocation Methods for Stochastic PDEs


• High-dimensional integration: approximations of multivariate functions




Coherent Structures in Fluid Flow

• Elucidation and Sensitivity




Dynamical Systems approach to Turbulence

• Markov Chain approximations of Chaos in ODE systems


• Segment Description of Turbulence