A Fixed Grid Method for Capturing the Motion of Self-Intersecting Wavefronts and Related PDEs

This note is concerned with a fixed-grid finite difference method for the solution of one-dimensional free boundary problems. The method solves for the field variables and the location of the boundary in separate steps. As a result of this decoupling, the nonlinear part of the algorithm involves only a scalar unknown, which is the location of the moving boundary. A number of examples are used to study the applicability of the method. The method is particularly useful for moving boundary problems with various conditions at the front.

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Modeling Convection-Driven Diffusion-Controlled Wet Chemical Etching Using a Total-Concentration Fixed-Grid Method

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407790701703435 ◽

2007 ◽

Vol 53 (2) ◽

pp. 143-159 ◽

Cited By ~ 7

Author(s):

P. Rath ◽

J. C. Chai

Keyword(s):

Chemical Etching ◽

Total Concentration ◽

Grid Method ◽

Fixed Grid ◽

Diffusion Controlled ◽

Wet Chemical ◽

Wet Chemical Etching

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An Implicit Fixed-Grid Method for the Finite-Element Analysis of Heat Transfer Involving Phase Changes

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407790601102217 ◽

2007 ◽

Vol 51 (6) ◽

pp. 585-610 ◽

Cited By ~ 21

Author(s):

E. Feulvarch ◽

J.-M. Bergheau

Keyword(s):

Heat Transfer ◽

Finite Element Analysis ◽

Finite Element ◽

Grid Method ◽

Phase Changes ◽

Element Analysis ◽

Fixed Grid ◽

The Finite Element Analysis

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Entity Simulation of Rectangle Preform for 3D Braided Composite Based on ANSYS

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.800.336 ◽

2013 ◽

Vol 800 ◽

pp. 336-340 ◽

Cited By ~ 1

Author(s):

Hui Yong Yang ◽

Xin Gui Zhou ◽

Jin Shan Yu ◽

Zheng Luo

Keyword(s):

Grid Method ◽

Braided Composite ◽

Location Data ◽

Script File ◽

Fixed Grid ◽

Space Grid

According to the movement law of yarn carriers in the four-step braiding technique and the fixed grid method, a script file that calculates the space shape and location data of 3D braided rectangle preform is developed by the software matlab. Via the script file, a space grid diagram of yarns and a APDL file can be got. By calling the APDL file, the entity simulation diagram of 3D braided rectangle preform can be directly produced in the software ANSYS.

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