Research

Our research lies at the intersection of transport phenomena, advanced material processing, and numerical simulations and high power computing. We apply the fundamental concepts of conservation of mass, momentum, and energy to accurately model and optimize the growth of crystalline material. Our efforts are directed at understanding the complex, inherently nonlinear phenomena that control the processes used to create these materials. This understanding is motivated by needs of current and future electronic and optical systems,which require single-crystal substrates with precisely controlled properties. Applications of our work range from semiconductors and photovoltaics to sensors and detectors. Although our group primarily utilizes computational tools, we often collaborate with experimental groups to validate and further our simulations. Please check out some of our recent publications! 

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Areas that interest us:

  • Interfacial phenomena
  • Free and moving boundary problems 
  • Complex fluid dynamics 
  • Stability and bifurcation analysis
  • Microstructure of materials (e.g. dislocation densities and thermal stresses)
  • State of the art numerical methods (e.g. finite element methods)