Our research draws from applied mathematics, numerical/physical modeling and high-performance computing to develop novel techniques for numerical simulations and modeling of flow phenomena. We seek to uncover the basic physics underlying complex multiscale and multiphysics flows, in particular inertially dominated interfacial flows, with a focus on:

Direct simulations (gas/liquid compressible Navier-Stokes) and simple models (Rayleigh-Plesset) are used to understand bubble dynamics and the damage thereby produced, droplet dynamics, and plasmas.

Target applications include medicine (ultrasound, tbi, wound healing), naval hydrodynamics (cavitation erosion), hypersonics, energy sciences (nuclear energy, Spallation Neutron Source).

Using direct simulations of the mass, momentum, and energy equations, we investigate the propagation of shock waves in heterogeneous and/or non-newtonian media, including interfaces separating different materials, and radiation-dominated flows.

Target applications include energy sciences (high-energy-density physics, inertial confinement fusion), hypersonics.

We primarily use direct numerical simulation (DNS) and, to some extent, large-eddy simulation (LES), to investigate turbulent flows, such as compressible turbulence, wall-bounded turbulence and multi-material mixing.

Target applications include energy sciences (high-energy-density physics), aeronautical engineering (aerodynamics, wall-bounded flows).

We develop stable, accurate and efficient numerical methods to conduct high-fidelity simulations of complex flows, including shocks, interfaces, turbulence, radiation, and viscoelasticity.

We focus on high-order accurate finite difference, finite volume, and discontinuous finite element methods and are pursuing novel paradigms for high-performance computing based on mixed-precision computing and machine learning.

List of past/current sponsored projects

  • Hypersonics-relevant hydrodynamics and radiation-hydrodynamics
  • Role of unsteady cloud shedding on cavitation intensity
  • Cavitation-induced pressure waves in catheter devices
  • Vorticity and turbulent dynamics of accelerated interfaces
  • Validation of pressure relaxation coefficients in the seven-equation model
  • Cavitation erosion in the Spallation Neutron Source (Proton Power Upgrade)
  • Ultrasound-induced pulmonary hemorrhage during diagnostic examination of the lung
  • The study of radiative effects on turbulent plasmas
  • An integrated experimental-computational approach for developing a multiscale theory for cavitation in soft complex materials
  • High energy density physics (HEDP) studies using high power lasers
  • Shock waves and cavitation in human tissue
  • Dosimetry of cavitation microlesions in microbubble enhanced medical ultrasound
  • Equipment for advanced simulations and experiments of bubble dynamics
  • Vehicle drag reduction through flow control
  • Understanding and predicting cavitation erosion using high-fidelity numerical simulations
  • Assessment and mitigation of cavitation damage in the Spallation Neutron Source
  • Center for radiative shock hydrodynamics
  • ...