365 citations · 564 across the 12 of their papers we have counts for
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Linear Second Order Energy Stable Schemes of Phase Field Model with Nonlocal Constraints for Crystal Growth
Xiaobo Jing, Qi Wang
We present a set of linear, second order, unconditionally energy stable schemes for the Allen-Cahn model with a nonlocal constraint for crystal growth that conserves the mass of ea…
Error Estimates of Energy Stable Numerical Schemes for Allen-Cahn Equations with Nonlocal Constraints
Shouwen Sun, Xiaobo Jing, Qi Wang
We present error estimates for four unconditionally energy stable numerical schemes developed for solving Allen-Cahn equations with nonlocal constraints. The schemes are linear and…
Thermodynamically Consistent Hydrodynamic Models of Multi-Component Fluid Flows
Xueping Zhao, Tiezheng Qian, Qi Wang
We present a systematic derivation of thermodynamically consistent hydrodynamic phase field models for compressible viscous fluid mixtures using the generalized Onsager principle.…
A Second Order Fully-discrete Linear Energy Stable Scheme for a Binary Compressible Viscous Fluid Model
Xueping Zhao, Qi Wang
We present a linear, second order fully discrete numerical scheme on a staggered grid for a thermodynamically consistent hydrodynamic phase field model of binary compressible fluid…