• Transonic Flow
    Transonic Flow

    Transonic flow around the supercritical Onera OAT15a airfoil at Mach 0.73 and 7 degrees angle of attack.

    PI: Matthias Maier

    YouTube Video

  • Supersonic Flow
    Supersonic Flow

    Supersonic flow around cylinder (Mach 3).

    PI: Matthias Maier

    YouTube Video

  • Geometric PDEs
    Geometric PDEs

    Large deformation of plates, biomembranes, and electrowetting.

    PI: Andrea Bonito

    Details

  • Fractional Diffusion
    Fractional Diffusion

    Electroconvection and surface quasi-geostrophic flow.

    PI: Andrea Bonito

    Details

  • Complex Fluids
    Complex Fluids

    Numerical modeling of viscoelastic flows and bouncing jets.

    PI: Andrea Bonito

    Details

  • ...
    Navier-Stokes

    Navier-Stokes in the Von Karmann experiment (TM73 VKS2 config): vorticity amplitude at Reynolds number 10,000.

    PI: Jean-Luc Guermond

    Details

  • Vorticity

    Vorticity created magneto-hydrodynamic instability in the Von Karmann experiment.

    PI: Jean-Luc Guermond

    Details

  • Magnetic Fields

    Creation of a magnetic field through magneto-hydrodynamic instability in the Von Karmann experiment.

    PI: Jean-Luc Guermond

    Details

  • Water Waves

    Single wave overtopping a complex topography configuration. Applications include tsunami modeling.

    Eric Tovar

PI Principal Investigator Research Interests
Bonito, Andrea
  • The design, analysis and implementation of numerical methods for partial differential equation.
  • Adaptive methods
  • Free boundary problems
  • Geometric PDEs
  • Non newtonian fluid dynamics
  • Approximation methods in high dimensions
DeVore, Ronald
  • Approximation theory
  • Numerical methods for partial differential equations
  • Inverse problems
  • Parameter estimation
Guermond, Jean-Luc
  • Numerical Analysis, Finite element approximation, Discontinuous Galerkin methods.
  • 3D Navier-Stokes equations, FluidFlows, 3D Turbulence.
  • Magneto-hydodynamics, Maxwell equations.
  • Conservation equations, Entropy viscosity, HJ equations, Hyperbolic systems.
  • Multi-scale approximation, Homogenization.
  • Radiative Transport.
Maier, Matthias
  • Multiscale effects in Maxwell's Equations; Surface plasmon-polaritons on 2D materials, Plasmonic crystals
  • Multiscale methods (Heterogeneous Multiscale Methods, Variational Multiscale Methods); Asymptotic analysis and homogenization theory, Model adaptation in context of multiscale methods
  • Computational fluid dynamics; hyperbolic conservation laws
  • Finite element methods and finite element software (deal.II)
Petrova, Guergana
  • Approximation theory
  • Numerical methods for partial differential equations
  • Inverse problems
  • Parameter estimation
Popov, Bojan
  • Numerical Analysis
  • Numerical methods for partial differential equations
  • Nonlinear conservation equations
  • Entropy viscosity
  • Hyperbolic dominated systems
  • Invariant domain properties for numerical approximations of hyperbolic systems
Sottile, Frank
  • Numerical algebraic geometry
  • Applications of algebraic geometry, real algebraic geometry, algebraic combinatorics, Hopf Algebras, Discrete and Computational Geometry
  • Tropical geometry