My current research at the Berkeley Lab focuses on developing stochastic multiscale simulation methodologies and improving theoretical formulations in order to understand multiphysics phenomena involving complex fluids at micro and nanoscales. More specifically, for reaction-diffusion systems and reactive microfluids, I have been developing numerical methods  based on the fluctuating hydrodynamics approach.
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
In the second phase of the project, I have incorporated the stochastic mesoscopic chemistry description into the full fluctuating hydrodyanmics. The new method for reactive microfluids is constructed to efficiently simulate liquid systems, based on an isothermal multi-species Boussinesq approximation and an implicit treatment of viscous momentum dissipation. In addition, carefully designed numerical modifications are implemented to handle trace chemical species.
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☞ C. Kim, A. Nonaka, J.B. Bell, A.L. Garcia, and A. Donev, “Fluctuating hydrodynamics of reactive microfluids”, manuscript in preparation.
The animation below is my recent simulation result for the asymmetric fingering with the neutralization reaction.