Research

Current Research Areas

3D Morphing for Optimal Design

3D Vortices in Rotating, Stratified Flows in the Lab, Ocean, Planetary Atmospheres and Protoplanetary Disks

Atmospheric Dynamics of the Giant Planets (Jupiter’s Great Red Spot, Red Oval, Zonal Winds, Climate)

Bayesian Optimization

Convolutional Neural Networks (CNNs) for Physics Constrained PDEs

Data Driven Shape Design

Destabilization of Aircraft Wake Vortices

Global Circulation

Image Recognition using CNNs

Internal/Inertial Gravity Waves in Rotating, Stratified Flows

Jovian Atmosphere Observation Analogy

Longevity of Great Red Spot

Optimal Shape Design by Morphing

Physics, Applied Math, and Experimental Predictions of Instabilities in Rotating Stratified Turbulence

Polar Vortices and an Equatorial Thermal Wind Equation

Progressive Time Stepping using Markov Chain

Robust and Deterministic Algorithm for Root Finding and Optimization

Robustness of Ocean Vortices

Semi-Analytic Numerical Algorithms for Stiff Initial Value Equations

Spectral Anelastic Calculation for Great Red Spot

Star and Planet Formation in Protoplanetary (Keplerian) Disks

Turbulence Modeling for Atmospheric Boundary Layer

Velocity Extraction of the Jovian Winds (Zonal Flows and Vortices)

Zombie Instability in Stars and Planets

Zonal Winds of Saturn, Uranus and Neptune

Past Research Areas

Computational Methods for 3D Flows and for 2D Contour Dynamics

Convection in Stars

Couette-Taylor Flows

Fundamental Fluid Dynamics