scholarly journals Numerical method for complex moving boundary problems in a Cartesian fixed grid

2002 ◽  
Vol 65 (5) ◽  
Author(s):  
Kensuke Yokoi

2010 ◽  
Vol 132 (11) ◽  
Author(s):  
M. Tadi

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.



2013 ◽  
Vol 87 ◽  
pp. 1
Author(s):  
Rekha R. Rao ◽  
S.A. Roberts ◽  
David R. Noble ◽  
Patrick D. Anderson ◽  
Jean-Francois Hétu


1998 ◽  
Vol 53 (19) ◽  
pp. 3393-3411 ◽  
Author(s):  
Jörg Frauhammer ◽  
Harald Klein ◽  
Gerhart Eigenberger ◽  
Ulrich Nowak


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