Zobrazeno 1 - 10
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pro vyhledávání: '"Wise, Steven"'
We present a phase-field crystal model for solidification that accounts for thermal transport and a temperature-dependent lattice parameter. Elasticity effects are characterized through the continuous elastic field computed from the microscopic densi
Externí odkaz:
https://tud.qucosa.de/id/qucosa%3A89471
https://tud.qucosa.de/api/qucosa%3A89471/attachment/ATT-0/
https://tud.qucosa.de/api/qucosa%3A89471/attachment/ATT-0/
We introduce a non-isothermal phase-field crystal model including heat flux and thermal expansion of the crystal lattice. The thermal compatibility condition, as well as a positive entropy-production property, is derived analytically and further veri
Externí odkaz:
http://arxiv.org/abs/2408.16449
In this paper we propose and analyze a finite difference numerical scheme for the Flory-Huggins-Cahn-Hilliard equation with dynamical boundary condition. The singular logarithmic potential is included in the Flory-Huggins energy expansion. Meanwhile,
Externí odkaz:
http://arxiv.org/abs/2407.13453
A simple iterative approach for solving a set of implicit kinetic moment equations is proposed. This implicit solve is a key component in the IMEX discretization of the multi-species Bhatnagar-Gross-Krook (M-BGK) model with nontrivial collision frequ
Externí odkaz:
http://arxiv.org/abs/2404.18039
In this study, we have derived a thermodynamically consistent phase-field model for two-phase flows with thermocapillary effects. This model accommodates variations in physical properties such as density, viscosity, heat capacity, and thermal conduct
Externí odkaz:
http://arxiv.org/abs/2404.04950
In this paper, we provide a theoretical analysis for a preconditioned steepest descent (PSD) iterative solver that improves the computational time of a finite difference numerical scheme for the Cahn-Hilliard equation with Flory-Huggins energy potent
Externí odkaz:
http://arxiv.org/abs/2401.16316
Multi-species BGK models describe the dynamics of rarefied gases with constituent particles of different elements or compounds with potentially non-trivial velocity distributions. In this paper, moment equations for the bulk velocities, energies, and
Externí odkaz:
http://arxiv.org/abs/2310.12885
A finite difference numerical scheme is proposed and analyzed for the Cahn-Hilliard-Stokes system with Flory-Huggins energy functional. A convex splitting is applied to the chemical potential, which in turns leads to the implicit treatment for the si
Externí odkaz:
http://arxiv.org/abs/2303.11609
The degenerate de Gennes-Cahn-Hilliard (dGCH) equation is a model for phase separation which may more closely approximate surface diffusion than others in the limit when the thickness of the transition layer approaches zero. As a first step to unders
Externí odkaz:
http://arxiv.org/abs/2210.16492