230 citations · 1.3k across the 27 of their papers we have counts for
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An Unconditionally Energy-Stable Scheme Based on an Implicit Auxiliary Energy Variable for Incompressible Two-Phase Flows with Different Densities Involving Only Precomputable Coefficient Matrices
Z. Yang, S. Dong
We present an energy-stable scheme for numerically approximating the governing equations for incompressible two-phase flows with different densities and dynamic viscosities for the…
Energy-Stable Boundary Conditions Based on a Quadratic Form: Applications to Outflow/Open-Boundary Problems in Incompressible Flows
Naxian Ni, Zhiguo Yang, Suchuan Dong
We present a set of new energy-stable open boundary conditions for tackling the backflow instability in simulations of outflow/open boundary problems for incompressible flows. Thes…
Numerical Approximation of Incompressible Navier-Stokes Equations Based on an Auxiliary Energy Variable
Lianlei Lin, Suchuan Dong
We present a numerical scheme for approximating the incompressible Navier-Stokes equations based on an auxiliary variable associated with the total system energy. By introducing a…
A Family of Second-Order Energy-Stable Schemes for Cahn-Hilliard Type Equations
Suchuan Dong, Zhiguo Yang, Lianlei Lin
We focus on the numerical approximation of the Cahn-Hilliard type equations, and present a family of second-order unconditionally energy-stable schemes. By reformulating the equati…