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physics.flu-dyn2018★ 153 cited
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…
physics.flu-dyn2018★ 2 cited
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…