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Phase Portraits of Planar Vector Fields: Computer Proofs
Computer Proofs Planar Vector Fields
2015/8/25
This paper presents an algorithm for computer veri cation of the
global structure of structurally stable planar vector elds. Constructing
analytical proofs for the qualitative properties of phase p...
Surface tension of multi-phase flow with multiple junctions governed by the variational principle
multi-phase flow Surface tension variational principle Numerical Analysis
2011/10/8
Abstract: We explore a computational model of an incompressible fluid with a multi-phase field in three-dimensional Euclidean space. By investigating an incompressible fluid with a two-phase field geo...
Mean-field/PDF numerical approach for polydispersed turbulent two-phase flows
Mean-field/PDF numerical approach polydispersed turbulent two-phase flows
2010/12/15
The purpose of this paper is to give an overview in the realm of numerical computations of
polydispersed turbulent two-phase flows, using a mean-field/PDF approach. In this approach,
the numerical s...
In this paper, we study numerical approximations of a recently
proposed phase field model for the vesicle membrane deformation
governed by the variation of the elastic bending energy.
To overcome t...
A Simple Moving Mesh Method for One- and Two-Dimensional Phase-Field Equations
phase-field equations computation of free boundaries moving mesh method finite volume method
2012/7/31
A simple moving mesh method is proposed for solving phase-field equations. The numerical strategy is based on the approach proposed in Li et al. [J. Comput. Phys., 170 (2001),pp. 562?88] to separate t...