Results 31 to 40 of about 3,825,090 (194)
Phase-field method for epitaxial kinetics on surfaces [PDF]
The Journal of Chemical Physics, 2018 We present a procedure for simulating epitaxial growth based on the phase-field method. We consider a basic model in which growth is initiated by a flux of atoms onto a heated surface. The deposited atoms diffuse in the presence of this flux and eventually collide to form islands which grow and decay by the attachment and detachment of migrating atoms ...
Joel Posthuma de Boer +3 more
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A difference-free conservative phase-field Lattice Boltzmann method
Computers & Fluids, 2023 We propose an innovative difference-free scheme that combines the one-fluid lattice Boltzmann method (lBM) with the conservative phase-field (CPF) lBM to effectively solve large-scale two-phase fluid flow problems. The difference-free scheme enables the derivation of the derivative of the order parameter and the normal vector through the moments of the
Chunheng Zhao, Saumil Patel, Taehun Lee
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Materials Research Express, 2023 In this paper, the grain-refining effect of Al-Nb-B refiner in wrought Al alloys and corresponding refining mechanism was investigated using phase-field simulation and experiment methods.
Li Jun, Jiang Haitao, Wu Xiaoyan
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On anisotropy function in crystal growth simulations using Lattice Boltzmann equation
, 2016 In this paper, we present the ability of the Lattice Boltzmann (LB) equation, usually applied to simulate fluid flows, to simulate various shapes of crystals.
Cartalade, Alain, Younsi, Amina
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Simulating hydrogen embrittlement fracture based on phase field method
Xibei Gongye Daxue Xuebao, 2022 The phase field hydrogen embrittlement fracture model is improved by introducing tension-compression split of strain energy. The numerical formulas of the model are provided, besides, the coupling term of concentration field and displacement field is ...
CHEN Pengcheng +3 more
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Phase‐field material point method for brittle fracture [PDF]
International Journal for Numerical Methods in Engineering, 2017 SummaryThe material point method for the analysis of deformable bodies is revisited and originally upgraded to simulate crack propagation in brittle media. In this setting, phase‐field modelling is introduced to resolve the crack path geometry. Following a particle in cell approach, the coupled continuum/phase‐field governing equations are defined at a
E. G. Kakouris, S. P. Triantafyllou
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, 2013 In this paper we present PDE and finite element analyses for a system of partial differential equations (PDEs) consisting of the Darcy equation and the Cahn-Hilliard equation, which arises as a diffuse interface model for the two phase Hele-Shaw flow. We
G., Steven Wise, Xiaobing Feng
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Thermal two-phase flow with a phase-field method [PDF]
International Journal of Multiphase Flow, 2018 Abstract Phase field methods have become of great interest for the simulation of droplet and bubble dynamics, moving free interfaces and more recently phase change phenomena. One example is the Navier–Stokes–Korteweg (NSK) equations. With a particular focus on the van der Waals fluid, we present the numerical solution of the NSK system with the ...
Park, Keunsoo +2 more
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International Journal of Smart and Nano Materials, 2016 This article studies the dielectric and piezoelectric behavior of unpoled and poled barium titanate (BaTiO3) polycrystals with oxygen vacancies. A phase field model is employed for BaTiO3 polycrystals, coupled with the time-dependent Ginzburg–Landau ...
Fumio Narita +2 more
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, 2010 Ground-state phase diagram of the mixed spin-$1/2$ and spin-$1$ Ising chain with axial and rhombic zero-field splitting parameters is exactly calculated within the framework of the transfer-matrix method. It is shown that the rhombic zero-field splitting
Danco, M., Strecka, J.
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