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An Adaptive Threshold Dynamics Method for Three-Dimensional Wetting on Rough Surfaces 认领 引用 被引量：1
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作者 Xianmin Xu Wenjun Ying 《Communications in Computational Physics》 SCIE 2021年第1期57-79,共23页
We propose an adaptive threshold dynamics method for wetting problems in three space dimensions.The method is based on solving a linear heat equation and a thresholding step in each iteration.The heat equation is disc... We propose an adaptive threshold dynamics method for wetting problems in three space dimensions.The method is based on solving a linear heat equation and a thresholding step in each iteration.The heat equation is discretized by a cell-centered finite volume method on an adaptively refined mesh.An efficient technique for volume conservation is developed on the nonuniform meshes based on a quick-sorting operation.By this method,we compute some interesting wetting problems on complicated surfaces.Numerical results verify some recent theory for the apparent contact angle on rough and chemically patterned surfaces. 展开更多
关键词 Adaptive threshold dynamics method wetting
A Threshold Dislocation Dynamics Method 认领 引用
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作者 Xiaoxue Qin Alfonso H.W.Ngan Yang Xiang 《Communications in Computational Physics》 SCIE 2024年第2期273-312,共40页
The Merriman-Bence-Osher threshold dynamics method is an efficient algorithm to simulate the motion by mean curvature.It has the advantages of being easy to implement and with high efficiency.In this paper,we propose ... The Merriman-Bence-Osher threshold dynamics method is an efficient algorithm to simulate the motion by mean curvature.It has the advantages of being easy to implement and with high efficiency.In this paper,we propose a threshold dynamics method for dislocation dynamics in a slip plane,in which the spatial operator is essentially an anisotropic fractional Laplacian.We show that this threshold dislocation dynamics method is able to give two correct leading orders in dislocation velocity,including both the O(logε)local curvature force and the O(1)nonlocal force due to the long-range stress field generated by the dislocations as well as the force due to the applied stress,whereεis the dislocation core size,if the time step is set to beΔt=ε.This generalizes the available result of threshold dynamics with the corresponding fractional Laplacian,which is on the leading order O(logΔt)local curvature velocity under the isotropic kernel.We also propose a numerical method based on spatial variable stretching to correct the mobility and to rescale the velocity for efficient and accurate simulations,which can be applied generally to any threshold dynamics method.We validate the proposed threshold dislocation dynamics method by numerical simulations of various motions and interaction of dislocations. 展开更多
关键词 Dislocation dynamics threshold dynamics method nonlocal velocity anisotropic mobility variable stretching
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