Interests

  1. Application-driven, high-performance numerical algorithm development.
  2. High-performance kernels such as: dense and sparse linear algebra, structured grids, particles, and Monte Carlo based methods.
  3. Numerical investigation of: fluid mechanics; particle systems; image and data search/analysis; time series; population dynamics; massive datasets; and many more.

Recent Research

My current research area is the study of multiscale environmental flows using Juice, an adaptive mesh refinement (AMR) model developed for my dissertation. More specifically:

Shear instabilities on interfacial internal gravity waves

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Density driven flows with complex geometry

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Biological flows in highly complex geometry

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Second-order accurate AMR algorithms for solving the Navier-Stokes equations

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Fourth-order accurate AMR algorithms for solving Poisson's equation

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