Fourier|Spectral Method for the Phase|Field Equations

Fourier-Spectral Method for the Phase-Field Equations - MDPI

Since our focus is the Fourier-spectral method, the trigonometric basis functions are regarded as the trial functions. Moreover, instead of regarding entire ...

(PDF) Fourier-Spectral Method for the Phase-Field Equations

A new local average concentration function is introduced to the original nonlocal CH equation so that we can locally control the morphology of ...

Applications of semi-implicit Fourier-spectral method to phase field ...

An efficient and accurate numerical method is implemented for solving the time-dependent Ginzburg—Landau equation and the Cahn—Hilliard equation.

[PDF] Fourier-Spectral Method for the Phase-Field Equations

In this paper, we review the Fourier-spectral method for some phase-field models: Allen–Cahn (AC), Cahn–Hilliard (CH), Swift–Hohenberg (SH), phase-field ...

Fourier-Spectral Method for the Phase-Field Equations - ProQuest

In this paper, we review the Fourier-spectral method for some phase-field models: Allen–Cahn (AC), Cahn–Hilliard (CH), Swift–Hohenberg (SH), phase-field ...

Fourier-Spectral Method for the Phase-Field Equations - SciMatic

In this paper, we review the Fourier-spectral method for some phase-field models: Allen–Cahn (AC), Cahn–Hilliard (CH), Swift–Hohenberg (SH), phase-field ...

Applications of semi-implicit Fourier-spectral method to phase field ...

cient semi-implicit Fourier-spectral method for solv- ing the phase-field equations. For the time variable, we propose to employ semi-implicit schemes in ...

Solving Phase-Field Models with Fourier Spectral Methods

A numerical solution for the depth varying nearly horizontal flow equations is developed using the Galerkin finite element method and a wave equation type ...

Fourier-Spectral Method for the Phase-Field Equations - OUCI

In this paper, we review the Fourier-spectral method for some phase-field models: Allen–Cahn (AC), Cahn–Hilliard (CH), Swift–Hohenberg (SH), phase-field ...

Applications of semi-implicit Fourier-spectral method to phase field ...

Abstract. An efficient and accurate numerical method is implemented for solving the time-dependent Ginzburg—Landau equation and the Cahn—Hilliard equation.

Implementing semi-implicit Fourier spectral method - Julia Discourse

I'm trying to implement the semi-implicit Fourier spectral method described here. It is basically a fourth-order phase-field equation.

Stability and error estimates of the SAV Fourier-spectral method for ...

The phase field crystal equation, which was developed in [3, 4], has been frequently used in the study of the microstructural evolution of crystal growth on ...

Efficiency and accuracy of GPU-parallelized Fourier spectral ... - arXiv

The resulting partial differential equations, often strongly coupled together, may be solved by a broad range of numerical methods, but this ...

Fourier-Spectral Method for the Phase-Field Equations | CoLab

In this paper, we review the Fourier-spectral method for some phase-field models: Allen–Cahn (AC), Cahn–Hilliard (CH), Swift–Hohenberg (SH), ...

A Fourier Spectral Moving Mesh Method for the Cahn-Hilliard ...

To further improve their effectiveness, we recently developed a new adaptive Fourier-spectral semi-implicit method (AFSIM) for solving the phase field equation ...

Stability and error estimates of the SAV Fourier-spectral method for ...

Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation ... Article PDF. Download to read the full ...

Characterizing the Stabilization Size for Semi-Implicit Fourier ...

Recent results in the literature provide computational evidence that the stabilized semi-implicit time-stepping method can efficiently simulate phase field ...

A semi-analytical Fourier spectral method for the Allen-Cahn equation

In recent years, Fourier spectral methods have been widely used as a powerful tool for solving phase-field equations. To improve its effectiveness, ...

Characterizing the stabilization size for semi-implicit Fourier-spectral ...

Title:Characterizing the stabilization size for semi-implicit Fourier-spectral method to phase field equations ; Subjects: Numerical Analysis ( ...

CHARACTERIZING THE STABILIZATION SIZE FOR SEMI-IMPLICIT ...

stepping methods for the phase field models such as the CH equation and the thin ... S HEN, Applications of semi-implicit Fourier-spectral method to phase field.