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.
BPM128As 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]
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Simulation code
Currently, I am incorporating reactions into full fluctuating hydrodyanmics. The animation below is my recent simulation result for the asymmetric fingering with the neutralization reaction.