Current Research Areas
Geophysics, Astrophysics and Planetary Science
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- Atmospheric Dynamics of the Giant Planets (Jupiter’s Great Red Spot, Red Oval, Zonal Winds, Climate)
- Global Circulation
- Jovian Atmosphere
- Longevity of Great Red Spot
- Neptune
- Star and Planet Formation in Protoplanetary (Keplerian) Disks
- Turbulence Modeling for Atmospheric Boundary Layer
- Velocity Extraction of the Jovian Winds (Zonal Flows and Vortices)
- Zonal Winds of Saturn and Uranus
Machine-Learning Based Design and Optimization
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- Design-by-Morphing (DbM) for Optimal Design
- Bayesian Optimization
- Data-Driven Shape Design
- Image Recognition using CNNs
Numerical Algorithms for Fluid Dynamics
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- Convolutional Neural Networks (CNNs) for Physics Constrained PDEs
- Large Eddy Simulations with Hyperviscosity/Subgrid-Scale Modeling
- Progressive Time Stepping using Markov Chain
- Robust and Deterministic Algorithm for Root Finding and Optimization
- Spectral Anelastic Calculation for the Great Red Spot
- Spectral Collocation Methods Dealing with Coordinate Singularities
- Semi-Analytic Numerical Algorithms for Stiff Initial Value Equation
Vortex Dynamics and Instabilities
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- 3D Vortices in Rotating, Stratified Flows in the Lab, Ocean, Planetary Atmospheres and Protoplanetary Disks
- Destabilization of Aircraft Wake Vortices
- Internal/Inertial Gravity Waves in Rotating, Stratified Flows
- Physics, Applied Math, and Experimental Predictions of Instabilities in Rotating Stratified Turbulence
- Polar Vortices and an Equatorial Thermal Wind Equation
- Robustness of Ocean Vortices
- Zombie Instabilities in Stars and Planets