Suchuan Dong's Home Page

		Suchuan (Steven) Dong Professor Center for Computational and Applied Mathematics Department of Mathematics Purdue University West Lafayette, IN 47907 Phone: 765-496-3875 Email: sdong@purdue.edu

Spring 2021: MA362 Vector Calculus

Post-Doc, 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.

High-order methods and temporal algorithms for simulations of fluids- and solids-related phenomena.
Interfaces, free surfaces, and contact line dynamics.
Neural network-based numerical methods.
Two-phase and multiphase flows.
Turbulent pattern formation.
Bio-fluids and bio-structural simulations.
Flow-structure interaction.
Turbulence at high Reynolds numbers in complex geometries.
High performance computing.

Z. Yang & S. Dong. A roadmap for discretely energy-stable schemes for dissipative systems based on a generalized auxiliary variable with guaranteed positivity. Journal of Computational Physics, 404, 109121, 2020. [PDF]
L. Lin, Z. Yang & S. Dong. Numerical approximation of incompressible Navier-Stokes equations based on an auxiliary energy variable. Journal of Computational Physics, 388, 1-22, 2019. [PDF]
S. Dong. Multiphase flows of N immiscible incompressible fluids: a reduction-consistent and thermodynamically-consistent formulation and associated algorithm. Journal of Computational Physics, 361, 1-49, 2018. [PDF]
S. Dong. Wall-bounded multiphase flows of N immiscible incompressible fluids: consistency and contact-angle boundary condition. Journal of Computational Physics, 338, 21-67, 2017. [PDF]
S. Dong & J. Shen. A time-stepping scheme involving constant coefficient matrices for phase field simulations of two-phase incompressible flows with large density ratios. Journal of Computational Physics, 231, 5788-5804, 2012. [PDF]