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Current Research

Slide Collection: new master slides 2

Physics informed deep learning

Incompressible flow and dynamic vortex shedding past a circular cylinder at Re=100
Classification of RBC

A deep convolutional neural network for classification of red blood cells in sickle cell anemia
Active Learning

On-the-fly learning of constitutive relation from mesoscopic dynamicsfor macroscopic modeling of non-Newtonian flows
Red blood cells

Red blood cells flowing through a microfluidic sorting devices
Thermo-responsive vesicle

Aging of a thermo-responsive vesicle traveling in a micro-channel with uneven temperature distribution.
Surface Quasi-Geostrophic (SQG) Equation

Modeling atmospheric phenomena such as the frontogenesis
Cerebral aneurysms

Fluid-structure interactions in cerebral aneurysms
Oscillating shear flow

A densely packed cylindrical cloud of particles dispersing in an oscillating shear flow in a periodic channel

Current Research

Alliance for the Computationally-guided design of energy efficient electronic materials (CDE3M) – ARL

Multiscale Modeling of Sickle Cell Anemia: Methods and Validation – NIH

New evolution equations to the joint response excitation PDF for stochastic modeling: Theory and numerical methods – NSF

Multiscale, multiphysics model of thrombus biomechanics in aortic dissection - NIH

Collaboratory on mathematics for mesocopic modeling of materials (CM4) –DOE/PNNL - SUMMARY/ABSTRACT

Numerical methods for propagating uncertainty across scales and for hybrid stochastic-deterministic systems – ARO

Fractional PDEs for conservation laws and beyond: Theory, Numerics and applications – Army/MURI

Scalable Framework for hierarchical design and planning under uncertainty with application to marine vehicles – DARPA/SNWSC