A Moving Mesh Method for the Solution of the One-Dimensional Phase-Field Equations

2002 ◽  
Vol 181 (2) ◽  
pp. 526-544 ◽  
Author(s):  
J.A. Mackenzie ◽  
M.L. Robertson
Keyword(s):  
Phase Field ◽  
Moving Mesh ◽  
Moving Mesh Method ◽  
Field Equations ◽  
One Dimensional ◽  
Mesh Method ◽  
Phase Field Equations ◽  
The One

Spectral implementation of an adaptive moving mesh method for phase-field equations

2006 ◽  
Vol 220 (1) ◽  
pp. 498-510 ◽  
Author(s):  
W.M. Feng ◽  
P. Yu ◽  
S.Y. Hu ◽  
Z.K. Liu ◽  
Q. Du ◽  
...  
Keyword(s):  
Phase Field ◽  
Moving Mesh ◽  
Moving Mesh Method ◽  
Field Equations ◽  
Mesh Method ◽  
Phase Field Equations ◽  
Adaptive Moving Mesh Method

scholarly journals Front Fluctuations in One Dimensional Stochastic Phase Field Equations

2002 ◽  
Vol 3 (1) ◽  
pp. 29-86 ◽  
Author(s):  
Lorenzo Bertini ◽  
Stella Brassesco ◽  
Paolo Buttà ◽  
Errico Presutti
Keyword(s):  
Phase Field ◽  
Field Equations ◽  
One Dimensional ◽  
Phase Field Equations

A new one-dimensional moving mesh method applied to the simulation of streamer discharges

2007 ◽  
Vol 40 (21) ◽  
pp. 6559-6570 ◽  
Author(s):  
D Bessières ◽  
J Paillol ◽  
A Bourdon ◽  
P Ségur ◽  
E Marode
Keyword(s):  
Moving Mesh ◽  
Moving Mesh Method ◽  
One Dimensional ◽  
Mesh Method ◽  
Streamer Discharges

The Penrose–Fife-type equations: counting the one-dimensional stationary solutions

1996 ◽  
Vol 126 (3) ◽  
pp. 483-504 ◽  
Author(s):  
A. Novick-Cohen ◽  
Songmu Zheng
Keyword(s):  
Phase Separation ◽  
Phase Field ◽  
Binary Systems ◽  
Stationary Solutions ◽  
Field Equations ◽  
Type Phase ◽  
Heat Effects ◽  
Phase Field Equations ◽  
Cahn Hilliard Equation ◽  
The One

A method for counting the solutions for Penrose–Fife-type phase field equations is derived. The method used is similar to that developed recently for obtaining a precise count for the number of solutions for the Cahn–Hilliard equation [9], and is based on the derivation of an extended system of Picard–Fuchs equations as well as on estimates obtained in [11]. The Penrose–Fife-type phase field equations represent a thermodynamically consistent model for phase separation of a conserved order parameter (typically concentration) in binary systems in which latent heat effects are important in the phase separation process.

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