

Courses
Spring 2021: MA362 Vector Calculus
Academic Background
 PostDoc, Applied Mathematics, Brown University, 2004.
 Ph.D., Mechanical Engineering, State University of New York at
Buffalo, 2001.
 M.S., Physics, Zhejiang University (China), 1995.
 B.S., Aerospace Engineering, National University of Defense
Technology (China), 1992.
Research
 Highorder methods and temporal algorithms for simulations of fluids and solidsrelated phenomena.
 Interfaces, free surfaces, and contact line dynamics.
 Neural networkbased numerical methods.
 Twophase and multiphase flows.
 Turbulent pattern formation.
 Biofluids and biostructural simulations.
 Flowstructure interaction.
 Turbulence at high Reynolds numbers in complex geometries.
 High performance computing.


Representative Publications

S. Dong & N. Ni. A method for representing periodic functions and
enforcing exactly periodic boundary conditions with deep neural networks.
Journal of Computational Physics, 435, 110242, 2021.
[PDF]

Z. Yang & S. Dong. A roadmap for discretely energystable
schemes for dissipative systems based on a generalized
auxiliary variable with guaranteed positivity.
Journal of Computational Physics, 404, 109121, 2020.
[PDF]

S. Dong. Multiphase flows of N immiscible incompressible fluids: a reductionconsistent
and thermodynamicallyconsistent formulation and associated algorithm.
Journal of Computational Physics, 361, 149, 2018. [PDF]

S. Dong. Wallbounded multiphase flows of N immiscible incompressible fluids: consistency and contactangle boundary condition.
Journal of Computational Physics, 338, 2167, 2017. [PDF]

S. Dong & J. Shen. A timestepping scheme involving constant coefficient matrices for phase field
simulations of twophase incompressible flows with large density ratios. Journal of Computational Physics,
231, 57885804, 2012. [PDF]
extended list of publications ... 
