scholarly journals The Wave-Front Tracking Algorithm for Hughes' Model of Pedestrian Motion

2013 ◽  
Vol 35 (3) ◽  
pp. B606-B622 ◽  
Author(s):  
Paola Goatin ◽  
Matthias Mimault
Keyword(s):  
Wave Front ◽  
Front Tracking ◽  
Tracking Algorithm ◽  
Wave Front Tracking

Numerical Investigation of the Wave-Front Tracking Algorithm for the Full Ultra-Relativistic Euler Equations

2018 ◽  
Vol 19 (2) ◽  
pp. 223-229 ◽  
Author(s):  
Mahmoud A.E. Abdelrahman
Keyword(s):  
Wave Front ◽  
Euler Equations ◽  
Numerical Test ◽  
Front Tracking ◽  
Euler System ◽  
Tracking Algorithm ◽  
Test Case ◽  
Test Cases ◽  
Relativistic Euler Equations ◽  
Wave Front Tracking

AbstractWe introduce a generalized version of the front tracking algorithm for the full ultra-relativistic Euler system. The construction and analysis of this algorithm are somewhat simpler than other algorithms. Moreover, this scheme leads to a more robust and efficient result. The scheme also satisfies positivity. This scheme is compared with other two schemes by two numerical test cases. Furthermore we give another application of this scheme, namely we check the explicit formula of interaction of two generalized shocks, by further numerical test case.

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