A Front Tracking Method for One-Dimensional Moving Boundary Problems

1986 ◽  
Vol 7 (1) ◽  
pp. 252-263 ◽  
Author(s):  
Guillermo Marshall
Keyword(s):  
Moving Boundary ◽  
Front Tracking ◽  
Moving Boundary Problems ◽  
Boundary Problems ◽  
Tracking Method ◽  
One Dimensional ◽  
Front Tracking Method

A Front-Tracking Method for Multiphase Free Boundary Problems

1989 ◽  
Vol 26 (2) ◽  
pp. 380-396 ◽  
Author(s):  
David E. Womble
Keyword(s):  
Free Boundary ◽  
Free Boundary Problems ◽  
Front Tracking ◽  
Boundary Problems ◽  
Tracking Method ◽  
Front Tracking Method

Solving One-Dimensional Moving-Boundary Problems with Meshless Method

2008 ◽  
pp. 672-676 ◽  
Author(s):  
Leopold Vrankar ◽  
Edward J. Kansa ◽  
Goran Turk ◽  
Franc Runovc
Keyword(s):  
Meshless Method ◽  
Moving Boundary ◽  
Moving Boundary Problems ◽  
Boundary Problems ◽  
One Dimensional

A Four-Step Fixed-Grid Method for 1D Stefan Problems

2010 ◽  
Vol 132 (11) ◽  
Author(s):  
M. Tadi
Keyword(s):  
Free Boundary ◽  
Moving Boundary ◽  
Free Boundary Problems ◽  
Grid Method ◽  
Moving Boundary Problems ◽  
Boundary Problems ◽  
One Dimensional ◽  
Nonlinear Part ◽  
Stefan Problems ◽  
Fixed Grid

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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