Biomechanics of insect respiration

Insects, and most terrestrial arthropods, breathe using  complex network of inelastic, but collapsible tracheal tubes. This may be nature's paradigm for gas transport at the microscale.


Read more about this project here, here, and here.

Geophysical flow closure models

Large eddy simulations (LES) reduce the spatial and temporal complexity of turbulent flow computations by modeling the contributions of the small scales, which are assumed to be the same for every turbulent flow. Most such closure models are derived based on heuristic assmuptions based on the physics of 3D turbulent flows. We are developing and applying purely mathematical closure models, which may be more appropriate for geophysics flows, which are approximately 2D.


Read more about this research here and here.

Coarse grid projection method for incompressible flows

A major subset of computational methods for solving the Navier-Stokes equations, the equations that govern fluid dynamics, are projection methods that decouple the computations of the pressure and velocity fields. We have developed a grid projection method that solves the pressure part of the problem on a coarse grid, and interpolates the results back to a fine grid to compute the velocity field. The method has been shown to drastically reduce the computational effort , with little to no reduction in the accuracy of the velocity field.


read more about this research herehere, and here.


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Pumping Mechanism

Simplified model of insect-like flow transport mechanism with two collapse sites.