scholarly journals A brief description of a new numerical framework for solving conservation laws — The method of space-time conservation element and solution element

2008 ◽  
pp. 396-400 ◽  
Author(s):  
S.C. Chang ◽  
W.M. Tot
Keyword(s):  
Conservation Laws ◽  
Space Time ◽  
Solution Element

THE METHOD OF SPACE-TIME CONSERVATION ELEMENT AND SOLUTION ELEMENT — A NEW PARADIGM FOR NUMERICAL SOLUTION OF CONSERVATION LAWS

1998 ◽  
pp. 206-240 ◽  
Author(s):  
Sin-Chung CHANG ◽  
Sheng-Tao YU ◽  
Ananda HIMANSU ◽  
Xiao-Yen WANG ◽  
Chuen-Yen CHOW ◽  
...  
Keyword(s):  
Conservation Laws ◽  
Numerical Solution ◽  
Space Time ◽  
New Paradigm ◽  
Solution Element

scholarly journals High-resolution genuinely multidimensional solution of conservation laws by the space-time conservation element and solution element method

1999 ◽  
Author(s):  
Ananda Himansu ◽  
Sin-Chung Chang ◽  
Sheng-Tao Yu ◽  
Xiao-Yen Wang ◽  
Ching-Yuen Loh ◽  
...  
Keyword(s):  
High Resolution ◽  
Conservation Laws ◽  
Space Time ◽  
Solution Element ◽  
Element Method

Stefan Number-Insensitive Numerical Simulation of the Enthalpy Method for Stefan Problems Using the Space-Time Conservation Element and Solution Element Method

2004 ◽  
Author(s):  
Anahita Ayasoufi ◽  
Theo G. Keith ◽  
Ramin K. Rahmani
Keyword(s):  
Numerical Simulation ◽  
Phase Change ◽  
Numerical Simulations ◽  
Latent Heat ◽  
Space Time ◽  
Enthalpy Method ◽  
Stefan Problems ◽  
Stefan Number ◽  
Original Scheme ◽  
Solution Element

An improvement is introduced to the conservation element and solution element (CE/SE) phase change scheme presented previously. The improvement addresses a well known weakness in numerical simulations of the enthalpy method when the Stefan number, (the ratio of sensible to latent heat) is small (less than 0.1). Behavior of the improved scheme, at the limit of small Stefan numbers, is studied and compared with that of the original scheme. It is shown that high dissipative errors, associated with small Stefan numbers, do not occur using the new scheme.

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