My research project at the Berkeley Lab is to develop numerical methods for nanoscale fluids using fluctuating hydrodynamics. More specifically, I have been incorporating an accurate mesoscopic description of reactions into fluctuating hydrodynamics.
As a first step, I have developed efficient and robust numerical methods for stochastic reaction-diffusion systems, where the rigor of the master equation approach for reactions and the efficiency of the fluctuating hydrodynamics approach for diffusion are combined.
☞ C. Kim, A. Nonaka, J.B. Bell, A.L. Garcia, and A. Donev, “Stochastic simulation of reaction-diffusion systems: A fluctuating-hydrodynamics approach”, J. Chem. Phys.146, 124110 (2017) [Link]
☞ Highlight slide ☞ Simulation code
Currently, I am incorporating reactions into full fluctuating hydrodyanmics.